AP Physics 2: Algebra-Based FRQ Room

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AP Physics 2: Algebra-Based Free Response Questions

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  • Unit 1: Fluids: Pressure and Forces (56)
  • Unit 2: Thermodynamics (34)
  • Unit 3: Electric Force, Field, and Potential (44)
  • Unit 4: Electric Circuits (35)
  • Unit 5: Magnetism and Electromagnetic Induction (45)
  • Unit 6: Geometric and Physical Optics (34)
  • Unit 7: Quantum, Atomic, and Nuclear Physics (2)
Unit 1: Fluids: Pressure and Forces

Airflow and Lift on an Airfoil

An airplane wing experiences different air speeds on its upper and lower surfaces. Suppose the airsp

Hard

Analysis of a Venturi Meter in Fluid Flow Measurement

A Venturi meter is used to measure the flow rate of a fluid by taking advantage of changes in pressu

Hard

Bernoulli's Principle and Airflow Over a Wing

An airplane wing is designed with a curved top and a flatter bottom to create differing air velociti

Hard

Bernoulli’s Principle and Pressure Measurements

Water is pumped through a horizontal pipe that constricts and expands in diameter. At Point 1 in the

Hard

Branching Pipe Flow in a Plumbing System

Water flows from a reservoir through a pipe that splits into two branches. At the inlet, the pipe ha

Medium

Buoyancy and Floatation Analysis

A wooden block used in an experiment has a mass of 150 kg and a volume of 0.75 m³. It is placed in a

Medium

Buoyancy and Floating Object

An object with a mass of $$150\;kg$$ and a volume of $$0.75\;m^3$$ is placed in a container filled w

Medium

Buoyancy and Floating Objects Analysis

An object with a mass of $$150~kg$$ and volume of $$0.8~m^3$$ is placed in a container filled with a

Medium

Buoyant Stability and Metacentric Height in Floating Bodies

A floating vessel is designed with specific dimensions to ensure stability. A diagram of the vessel’

Extreme

Complex Pipe Network Analysis

This challenging problem involves analyzing a complex pipe network where a main pipe splits into two

Extreme

Composite Material Density and Pressure Analysis

A materials scientist tests a new composite material by first measuring a 0.001 m³ sample with a mas

Easy

Continuity Equation and Flow Rate in a Non-Uniform Pipe

Water flows through a pipe whose cross-sectional area changes along its length. At point 1 the pipe

Medium

Continuity Equation and Variable Pipe Flow

A horizontal pipe carrying a fluid branches into two tubes of different diameters. Analyze the situa

Medium

Critical Evaluation of a Fluid Mechanics Diagram

Below is a schematic diagram representing the flow of a fluid over a streamlined object (such as an

Medium

Density Determination Experiment

A student performs an experiment to determine the density of three different liquids by measuring sm

Easy

Design of a Venturi Meter for Flow Rate Measurement

A venturi meter is used to measure fluid flow by inducing a pressure difference through a constricte

Extreme

Designing a Fluid Flow Experiment in a Lab Environment

You are tasked with designing an experiment to measure the volume flow rate of water through a horiz

Medium

Designing a Wind Tunnel Experiment to Validate Bernoulli's Effect

A researcher is tasked with designing a wind tunnel experiment to validate Bernoulli’s effect on a s

Extreme

Designing an Optimal Fluid Transport System

In a chemical plant, an optimal fluid transport system needs to be designed for a viscous liquid. De

Extreme

Determining Buoyant Force on a Partially Submerged Object

A physics student examines the buoyant force experienced by an object when it is partially submerged

Easy

Dynamic Pressure and Nozzle Flow

An industrial nozzle is designed to eject a high-speed jet of water. The inlet pressure is measured

Medium

Effect of Viscous Forces on Laminar and Turbulent Flow

In an experiment, a fluid flows through a smooth, straight pipe. At low speeds, the flow is observed

Medium

Effects of Gravity on Fluid Flow in a Vertical Pipe

A researcher investigates the impact of gravity on fluid flow in a vertical pipe system by measuring

Hard

Examining the Role of Viscosity in Fluid Dynamics Experiments

A researcher is investigating how the viscosity of a fluid affects flow measurements in experiments,

Medium

Experimental Design: Measuring Fluid Density Using Displacement

A researcher aims to measure the density of an unknown liquid using a water displacement method in a

Easy

Floating Object in Stratified Fluids

An object with a volume of 0.5 m³ and a density of 850 kg/m³ is placed in a container holding two im

Hard

Flow Rate Analysis Using a Venturi Meter

A venturi meter is installed in a pipe to measure water flow. The meter has an inlet diameter of $$D

Medium

Flow Rate and Pipe Constriction

Water flows through a horizontal cylindrical pipe that narrows from a radius of 4.0 cm to a radius o

Medium

Flow Rate Conundrum in a Diverging-Nozzle Experiment

A diverging-converging nozzle experiment reports that increasing the nozzle diameter leads to a decr

Extreme

Fluid Flow Through Porous Media: Investigating Darcy's Law

Design an experiment to study the flow of a fluid through a porous medium (such as packed sand) and

Extreme

Hydrostatic Pressure in a Fluid

Consider an open tank containing water. The water has a density of 1000 kg/m³. Atmospheric pressure

Easy

Hydrostatic Pressure in a Fluid Column

A cylindrical tank is filled with a liquid of density $$\rho = 1000\,kg/m^3$$ to a height of $$h = 3

Easy

Hydrostatic Pressure in a Tank

This problem analyzes hydrostatic pressure in a fluid and the effect of atmospheric pressure on tota

Medium

Hydrostatics in a Multi-Layer Fluid System

A container holds two immiscible liquids arranged in layers. The top layer is oil with density 800 k

Medium

Impact of Fluid Viscosity on Flow Dynamics

Two fluids with different viscosities flow through identical pipes. A table below presents their pro

Extreme

Industrial Fluid Density and Pressure Calculation

A researcher in an industrial laboratory is studying fluid properties for engineering applications.

Easy

Integrated Fluid Dynamics Investigation

A chemical engineering laboratory examines the behavior of an incompressible fluid (density = $$1000

Extreme

Investigating Fluid Oscillations in a U-Tube

A U-tube containing a fluid is displaced from equilibrium and allowed to oscillate. Analyze the osci

Hard

Investigating the Effects of Fluid Density on Buoyancy of a Hot Air Balloon

A small-scale hot air balloon model has a volume of $$50 \cdot m^3$$. During a test, the density of

Hard

Measurement and Correction of Fluid Pressure

A pressure sensor installed in a water tank provides the following readings at different depths: |

Extreme

Measuring Hydrostatic Pressure in an Underwater Environment

An oceanographer sets up an experiment to measure the hydrostatic pressure as a function of depth in

Medium

Non-uniform Flow Channel Velocity Measurement Error

A student designs an experiment to measure the velocity of water in an open channel that has section

Hard

Open Channel Pressure Measurement

In an open channel flow experiment, gauge pressures were measured at different depths below the free

Hard

Open Tank Pressure and Total Pressure Calculation

A tank is open to the atmosphere and is filled with water. The total (absolute) pressure at any dept

Easy

Pressure Calculations in Submerged Structures

A structural engineering team is testing a scale model of a submerged tunnel to study the effects of

Medium

Pressure Changes with Altitude

Atmospheric pressure decreases with altitude. A graph shows measured pressures at various altitudes.

Hard

Pressure in a Fluid with Depth-Dependent Density

In a non-uniform fluid, the density varies with depth according to $$\rho(y) = \rho_0 + \alpha y$$,

Extreme

Pressure Measurement using a Mercury Barometer

A mercury barometer records a mercury column height of 760 mm. Given that the density of mercury is

Easy

Pressure Variation in a Fluid Column

A tall building has a water tank located on its roof, 50 m above ground level. (a) Calculate the hyd

Medium

Pressure Variations in a Natural Lake

This question connects fluid mechanics with environmental applications by calculating hydrostatic pr

Medium

Siphon Action Analysis

A siphon is used to transfer water from a container. The highest point of the siphon tube is 2 m abo

Extreme

Static Fluid Pressure in a Tank

A cylindrical tank is filled with water (density $$\rho = 1000 \; kg/m^3$$). Consider a point locate

Medium

Testing Bernoulli's Principle in a Venturi Tube

A researcher is using a Venturi tube to study fluid velocities in water (density = $$1000\;kg/m^{3}$

Hard

Turbulent vs. Laminar Flow: Reynolds Number Misinterpretation

A student conducts an experiment to study the transition from laminar to turbulent flow in a pipe by

Extreme

Variable Buoyancy: Measuring Submerged Fraction of an Object

Design an experiment to measure how the submerged volume fraction of an object changes in fluids wit

Medium

Venturi Meter and Bernoulli's Equation

A Venturi meter is installed in a horizontal pipe. The pipe narrows such that the cross-sectional ar

Hard
Unit 2: Thermodynamics

Analyzing Energy Conversion Efficiency in a Heat Engine

A novel power plant operates a heat engine that draws heat from a high-temperature source at $$850\;

Medium

Application of the First Law of Thermodynamics in a Piston System

A gas confined in a piston receives $$500\;J$$ of heat. During its expansion, the gas does $$200\;J$

Medium

Calculating Work and Efficiency in a Heat Engine Cycle

A heat engine undergoes a cycle in which it absorbs $$Q_H = 1000 J$$ of heat and rejects $$Q_C = 400

Easy

Calorimetry Experiment: Measuring Specific Heat Capacity Using Temperature Changes

Calorimetry is used to measure the specific heat capacity of substances. Design an experiment using

Medium

Clausius-Clapeyron Equation and Phase Transitions

The Clausius-Clapeyron equation relates vapor pressure to temperature during phase transitions. (a)

Hard

Comparative Analysis of Convection and Radiation Heating

A scientist conducts an experiment comparing two heating methods: convection and radiation. The tabl

Hard

Comparison of Isothermal and Adiabatic Processes

A gas transitions between the same initial and final states via two different paths: one is isotherm

Extreme

Contained Gas Pressure and the Ideal Gas Law

Investigate the pressure exerted by a gas confined in a cylindrical container. Summarize how the Ide

Easy

Derivation and Calculation of RMS Speed

The root-mean-square (RMS) speed of gas molecules is given by the formula $$v_{rms} = \sqrt{\frac{3\

Easy

Designing a Heat Engine

A heat engine draws $$800\;J$$ of heat from a high-temperature source and expels $$450\;J$$ as exhau

Hard

Determining Root Mean Square Velocity of Gas Molecules

A sample of an ideal gas is at a temperature of 300 K and consists of molecules with a mass of $$4.6

Medium

Effect of Molecular Mass on RMS Velocity

The root-mean-square velocity of gas molecules is given by $$v_{rms} = \sqrt{\frac{3k_BT}{m}}$$. (a)

Medium

Efficiency Evaluation of a Heat Engine: Experimental Design and Data Analysis

Heat engines convert thermal energy into work, but not all the input heat is converted due to ineffi

Medium

Entropy and the Second Law

Consider a process where 200 J of heat is transferred from a reservoir at 500 K to a reservoir at 30

Medium

Error Analysis in Pressure and Temperature Measurements

In an experiment, several measurements of a gas's pressure and temperature were recorded along with

Hard

Examining Real Gas Behavior with the van der Waals Equation

While the ideal gas law, $$PV = n * R * T$$, accurately describes ideal gases, real gases deviate fr

Hard

First Law Application: Heat Input and Work Output

During an experiment, a system undergoes a process in which 600 J of heat is supplied and it perform

Easy

Force on Container Lid from Confined Gas

A cylindrical container has a radius of 15 cm and a height of 30 cm. It contains 0.6 moles of an ide

Medium

Heat Engine Efficiency

A heat engine operates in a cyclic process where heat is taken in from a high-temperature source, pa

Medium

Heat Engine Work Cycle Analysis

A heat engine operates by drawing $$Q_H = 800\,J$$ of heat from a high-temperature source and discar

Easy

Heat Transfer by Conduction

For a metal rod, the rate of heat transfer by conduction is described by $$\frac{Q}{\Delta t}=\frac{

Medium

Heating a Gas: Conduction vs. Convection

Heat can be transferred via different mechanisms. In the context of a gas being heated, consider the

Medium

Ideal Gas: Container Pressure and Force

Consider a cylindrical container of gas with a radius $$r = 0.15\;m$$ and height $$h = 0.30\;m$$ tha

Medium

Investigating Adiabatic Expansion in a Piston

A piston containing an ideal gas is allowed to expand adiabatically. In this process, no heat is exc

Hard

Investigating the Role of Atmospheric Pressure in Sealed Container Systems

The net force on a container’s lid results from the difference between the internal gas pressure and

Easy

Isothermal and Adiabatic Processes in Ideal Gases

An ideal gas undergoes an isothermal expansion from an initial volume $$V_1$$ to a final volume $$V_

Hard

Kinetic Energy and Temperature Relationship

An experiment on an ideal gas was conducted to measure the average molecular kinetic energy and temp

Medium

Radiative Heat Transfer Experiment Error

In an experiment designed to quantify radiative heat transfer, a student sets up a hot plate surroun

Hard

Systematic Investigation of Root Mean Square Velocity

An experiment is set up to investigate the root mean square velocity ($$v_{rms}$$) of gas molecules

Easy

Testing Thermal Equilibrium: The Zeroth Law

An experiment is conducted to verify the Zeroth Law of Thermodynamics using three objects: A, B, and

Easy

The Second Law of Thermodynamics and Entropy

The Second Law of Thermodynamics governs the direction of spontaneous processes. (a) State the Secon

Medium

Thermodynamic Analysis of an Ice Melting Process

When heat is added to a substance at its melting point, the phase change occurs without a change in

Easy

Work and Internal Energy in an Isochoric Process

A gas is contained in a rigid, fixed-volume container. During a heating process, the pressure of the

Easy

Work in Isobaric and Isochoric Processes Analysis

A gas in a cylinder undergoes two separate experiments. In Experiment 1 (isobaric), the gas expands

Medium
Unit 3: Electric Force, Field, and Potential

Analyzing Electric and Gravitational Forces in a Hydrogen Atom

In a hydrogen atom, the proton has a mass of $$1.6 \times 10^{-27} \; kg$$ and a charge of $$+e$$, a

Easy

Capacitance Measurement: Edge Effects Neglect

In an experiment to measure the capacitance of a parallel-plate capacitor, a student builds the capa

Hard

Capacitor Design Challenge

A parallel-plate capacitor is constructed with two metal plates separated by a distance of 0.2 mm in

Medium

Capacitor Discharge and RC Time Constant

A capacitor with capacitance 20 μF is charged to 120 V and then allowed to discharge through a resis

Hard

Charge Conservation and Quantization

In an isolated system, charge is conserved and the charge on any object is an integer multiple of a

Medium

Charge Quantization and Experimental Uncertainty

In a series of experiments, students measured the net charge on several isolated metallic spheres us

Easy

Charged Object Equilibrium in a Uniform Electric Field

An experiment is set up to determine the amount of charge required on a small object so that the upw

Medium

Comparative Analysis of Charging Methods

In a laboratory setting, two objects made from different materials—one metal (a good conductor) and

Easy

Comparative Analysis of Electrostatic and Gravitational Forces

Design an experiment to compare the magnitudes of electrostatic forces and gravitational forces betw

Medium

Comparative Analysis: Charging by Conduction vs. Induction

A metal sphere is charged using two distinct methods: conduction and induction. Compare the processe

Medium

Comparing Electric and Gravitational Forces in a Hydrogen Atom

A hydrogen atom consists of a proton and an electron separated by a Bohr radius of 0.5 × 10⁻¹⁰ m. Th

Medium

Coulomb's Law and Electric Field Vector Addition in an Equilateral Triangle

Three point charges are placed at the vertices of an equilateral triangle with a side length of $$0.

Medium

Coulomb’s Law in Different Media

A study investigates how the presence of various media affects the force between two point charges,

Medium

Coulomb’s Pendulum Experiment Error Analysis

In an experiment designed to measure the electrostatic force between two identically charged spheres

Easy

Deriving Capacitance from Physical Dimensions

A parallel-plate capacitor is constructed with a plate separation $$d$$ and plate area $$A$$ in vacu

Medium

Determining Coulomb's Constant Experiment

A researcher conducts an experiment to determine Coulomb's constant by suspending two small charged

Hard

Dipole Field Analysis

An electric dipole is formed by two point charges, $$+Q$$ and $$-Q$$, where $$Q = 4.0 \times 10^{-9}

Medium

Distance Dependence in Coulomb's Law

Coulomb's Law quantitatively describes the force between two point charges as inversely proportional

Easy

Effect of Plate Separation on Capacitance in a Parallel-Plate Capacitor

A parallel-plate capacitor is constructed with plates of area A = 0.02 m². The separation between th

Easy

Electric Field Balancing Gravitational Force

An object with a mass of $$5\,g$$ is placed in a uniform vertical electric field produced by a large

Easy

Electric Field Due to a Uniformly Charged Rod

A thin rod of length 0.5 m carries a uniform linear charge density of $$\lambda = 2.0*10^{-6}$$ C/m.

Extreme

Electric Field Lines at Media Boundaries

This problem examines how electric field lines behave at the boundary between two different media an

Hard

Electric Field on the Axis of a Charged Ring

A thin circular ring of radius $$R = 0.15\,m$$ carries a uniformly distributed total charge of $$Q =

Hard

Electric Potential Energy Conversion in a Charged Projectile Experiment

An experiment is conducted to analyze the conversion of electrical potential energy into kinetic ene

Hard

Energy Storage in a Capacitor with a Dielectric

Consider a parallel-plate capacitor with vacuum between its plates given by the capacitance formula

Hard

Energy Storage in a Capacitor with a Dielectric Material

A capacitor with initial capacitance $$C_0$$ is charged to a voltage $$V_0$$. After charging, the ca

Medium

Equipotential Surfaces for a Point Charge

A point charge Q = 3.0 × 10⁻⁹ C is located at the origin. The electric potential V at a distance r f

Easy

Fringing Fields in Parallel-Plate Capacitors

In a real parallel-plate capacitor, the electric field near the edges deviates from the ideal unifor

Extreme

Impact of Dielectrics on Capacitance

A parallel-plate capacitor was tested with different dielectric materials inserted between its plate

Medium

Influence of Charge Magnitude on Electric Potential

Design an experiment using a variable charge on a point charge source to measure the resulting elect

Medium

Investigating Capacitor Energy Storage Versus Separation Distance

Design an experiment to measure how the energy stored in a parallel-plate capacitor changes as the d

Easy

Investigation of the Inverse-Square Law in Electrostatics

An experiment is conducted to verify the inverse-square law for the electric field produced by a poi

Extreme

Measuring Electric Field Intensity from a Conductive Plate

Design an experiment to measure the electric field intensity at various distances along the axis per

Easy

Measuring Electric Potential Variations from a Point Charge

Develop an experimental design to measure the electric potential at various distances from a fixed p

Medium

Methods of Charging: Friction, Conduction, and Induction

There are three primary methods for charging objects: by friction, conduction, and induction. (a) D

Medium

Millikan Oil Drop Experiment Analysis

The Millikan oil drop experiment played a pivotal role in determining the fundamental charge of the

Hard

Millikan Oil-Drop Experiment

This classic experiment aims to demonstrate the quantization of electric charge. Tiny oil droplets a

Hard

Net Electric Force on a Central Charge in a Square Configuration

Four equal positive point charges are fixed at the vertices of a square, and a negative point charge

Easy

Potential Energy Change in a Uniform Field

In a controlled experiment, a charged particle initially at rest moves through a uniform electric fi

Medium

Surface Charge Density and Electric Field Experiment

In an experiment, several large plates are charged to different surface charge densities, $$\sigma$$

Hard

Three-Dimensional Vector Addition of Electric Forces

Accurately calculating the net electric force on a test charge in a three-dimensional configuration

Extreme

Voltmeter Experiment: Internal Resistance Oversight

A student designs an experiment to measure the electric potential difference between two points in a

Medium

Work and Energy in a Non-Uniform Electric Field

A point charge $$q$$ is released from rest at a distance $$r_A$$ from a fixed charge $$Q$$. As $$q$$

Hard

Work Required to Assemble a Triangular System of Point Charges

Three point charges are fixed in place forming a triangle. The charges and separations are: Q₁ = +2.

Hard
Unit 4: Electric Circuits

Analysis of Ammeter and Voltmeter Placement

This question addresses the proper usage of ammeters and voltmeters in a circuit for accurate measur

Easy

Analysis of Current Flow in a Circuit with Mixed Components

An experiment involves a circuit that includes a combination of resistors and a capacitor branch. Th

Hard

Analyzing Equivalent Resistance in a Mixed Resistor Network

A student conducts an experiment to find the equivalent resistance of a circuit that includes a 4 Ω

Medium

Application of Kirchhoff’s Laws in Complex Circuits

Consider a circuit that has two branches: one branch contains a single resistor and the other branch

Hard

Applying Kirchhoff’s Laws in Multi-Loop Circuits

A circuit consists of two loops sharing a common resistor. The components of this circuit are provid

Hard

Basic Analysis of Electric Current

Consider a simple circuit that contains a battery with a voltage of $$12\,V$$ and a resistor of $$10

Easy

Battery Internal Resistance Analysis

A battery with an electromotive force $$\varepsilon = 12\,V$$ and internal resistance $$r = 1\,\Omeg

Easy

Battery Internal Resistance and Terminal Voltage

A study claims that the terminal voltage of a battery decreases noticeably when a load is connected

Hard

Capacitance Modification in Connected vs. Disconnected Batteries

A capacitor with capacitance $$C = 20\,\mu F$$ is charged in a circuit. Compare and contrast two sce

Medium

Capacitor Discharging Analysis

A fully charged 12 V capacitor in an RC circuit is allowed to discharge through a resistor. The volt

Medium

Capacitors in Series and Parallel: Equivalent Capacitance Analysis

An experiment is performed using two identical capacitors each with capacitance $$C = 5\;F$$. They a

Medium

Circuit Analysis Using Kirchhoff's Laws

Consider a circuit with a battery of $$12\,V$$ connected to a series resistor $$R_1 = 4\,\Omega$$, w

Hard

Comparative Analysis of Capacitor Charging Profiles

Two RC circuits are set up using identical resistor and capacitor values: $$R = 3 \Omega$$ and $$C =

Extreme

Critically Evaluating the Role of Wire Material in Circuit Performance

A claim has been made that using wires made of materials with low resistivity, such as copper, enhan

Easy

Design and Analysis of a Resistivity Measurement Experiment

A student plans to measure the resistivity $$\rho$$ of a metallic wire. The wire is of uniform cross

Hard

Design of a Capacitor Bank for Energy Storage

A capacitor bank is required to store at least $$50~J$$ of energy at a working voltage of $$12~V$$.

Extreme

Design of an Experiment: Measuring Capacitance

Design an experiment to accurately measure the capacitance of a parallel-plate capacitor. Your desig

Extreme

Designing a Voltage Divider Circuit

Design a voltage divider that converts a 24 V supply to a 5 V output using two resistors in series.

Easy

Determining Equivalent Capacitance in Series and Parallel

Capacitors can be combined in different ways to achieve a desired equivalent capacitance.

Easy

Direct Current Flow and Potential Drop in a Simple Circuit

A simple circuit is constructed using a 12 V battery and a single resistor of 6 Ω connected by wires

Easy

Effect of Resistor Arrangement on Circuit Current Distribution

A circuit consists of a 12 V battery connected to a resistor network featuring both series and paral

Medium

Experimental Verification of Ohm’s Law

In a controlled laboratory experiment, students are required to verify Ohm's Law by constructing a b

Easy

Impact of Temperature on Battery Performance

Temperature can impact battery performance by altering its internal resistance.

Hard

Impact of Temperature on Capacitance in a Dielectric-Filled Capacitor

The capacitance of a parallel-plate capacitor is given by $$C = k * ε_0 * \frac{A}{d}$$, where k is

Hard

Investigating Capacitance: The Role of Plate Area and Separation

The capacitance of a parallel-plate capacitor is given by $$C = k*\epsilon_0*\frac{A}{d}$$, where $$

Medium

Investigating Current Division in a Parallel Resistor Network

A student sets up a circuit in which two resistors, one 10 Ω and one 20 Ω, are connected in parallel

Medium

Kirchhoff's Laws in a Multi-Loop Circuit

A circuit consists of two loops sharing a common resistor. In Loop 1, a 12 V battery is connected in

Hard

Ohm's Law and Circuit Analysis

This question focuses on applying Ohm's Law to analyze simple circuits and to interpret experimental

Medium

Resistor Combination Analysis: Series and Parallel

A report claims that complex resistor networks can be simplified into a single equivalent resistance

Medium

Resistor Network Analysis

Consider a circuit with multiple resistors arranged in series and parallel. The table below provides

Easy

Series Circuit Analysis and Ohm's Law Application

A battery of 9 V is connected in series with two resistors: one having a resistance of 100 Ω and the

Easy

Series vs. Parallel Resistor Behavior

An experiment compares the current in circuits with resistors arranged in series versus in parallel

Medium

Terminal Voltage Variation Under Different Load Conditions

In an experiment, a battery's terminal voltage is measured under varying load resistances. The table

Medium

Time Constant Determination from RC Circuit Current Decay

A series of measurements in an RC circuit provides the decay of current over time after the switch i

Medium

Voltage Drop Analysis with Battery Internal Resistance

A battery with an EMF of 12 V and an internal resistance of 0.5 Ω is connected to an external resist

Medium
Unit 5: Magnetism and Electromagnetic Induction

Analysis of a Two-Component Magnetic Circuit

Consider a magnetic circuit composed of two adjacent materials (A and B) with different permeabiliti

Extreme

Analyzing Magnetic Field Lines with Iron Filings

This FRQ requires analyzing the patterns formed by iron filings around a bar magnet, emphasizing the

Easy

Angle-Dependent Magnetic Force

A charged particle with $$q = +3 \times 10^{-6} C$$ is moving at a speed of $$v = 1 \times 10^5 m/s$

Easy

Assessing Iron Dust Experiments for Bar Magnets

A study uses iron dust to demonstrate that the magnetic field inside a bar magnet is continuous and

Medium

Calculating the Magnetic Field Around a Current-Carrying Wire

A long, straight wire carrying a steady current produces a magnetic field in the space around it. Us

Easy

Changing Magnetic Flux Through a Circuit

Magnetic flux through a loop can be altered by changes in the loop’s area, the strength of the magne

Easy

Combined Effects of Motion and Rotation in a Varying Magnetic Field

A loop of wire is simultaneously moving linearly and rotating while situated in a time-varying magne

Extreme

Comparing Magnetic Effects in Materials with Different Magnetic Permeabilities

Two samples, Material X and Material Y, are placed in an identical external magnetic field of $$0.2$

Medium

Current-Carrying Wire Magnetic Field

A researcher examines the magnetic field created by a long, straight current-carrying wire. The magn

Easy

Data Analysis: Current vs. Magnetic Field Strength in a Solenoid

Analyze experimental data relating the current through a solenoid to the resulting magnetic field in

Extreme

Determination of Solenoid Current through Field Measurements

Students aim to determine the current flowing through a solenoid by measuring the magnetic field ins

Hard

Effect of Magnet Orientation on Flux

This FRQ examines how the orientation of a loop within a magnetic field affects the magnetic flux an

Easy

Effect of Magnetic Permeability on Solenoid Magnetic Field

A long solenoid with $$n = 500\; turns/m$$ carries a current of $$I = 2 \; A$$. With an air core, th

Medium

Electromagnetic Induction in Generators

This FRQ integrates the principles of Faraday's law to model the operation of an electromagnetic gen

Extreme

Experimental Verification of Lenz's Law

Design an experiment to verify Lenz's Law by demonstrating that the direction of the induced current

Hard

Faraday's Law in Rotating Loop Experiment

An experiment is conducted in which a circular loop rotates at a constant angular speed in a uniform

Medium

Force on a Moving Charge in a Magnetic Field

A charged particle moves in a uniform magnetic field. Consider a scenario where the particle moves w

Medium

Graphical Analysis of Magnetic Force Data

A proton is accelerated to different speeds and moves through a uniform magnetic field, where its ve

Medium

Induced EMF in a Rectangular Loop with Changing Area

A rectangular loop of wire has one side that can slide, causing the area of the loop to increase ove

Medium

Induced EMF in a Rotating Loop

A circular loop rotates within a uniform magnetic field, causing the magnetic flux through the loop

Hard

Interaction Between Bar Magnets

Two bar magnets are placed facing each other with like poles (both North) at a separation of $$d = 0

Medium

Investigating Induced EMF and Electrode Separation

An experiment investigates how the induced emf in a rod moving through a magnetic field changes with

Medium

Investigating the Effect of Coil Turns on Induced EMF

An experiment is conducted using solenoids with different numbers of turns to study their effect on

Medium

Investigating the Magnetic Force on a Moving Charge

Design an experiment to test how the magnetic force on a moving charged particle depends on both its

Medium

Lenz’s Law and Induced Current Direction

In an experiment, a coil is subjected to a changing magnetic flux by moving a magnet toward and then

Medium

Magnetic Dipoles: Bar Magnet and Current Loop

A researcher compares the magnetic field produced by a permanent bar magnet with that produced by a

Hard

Magnetic Field Lines Visualization

In this FRQ, you will explore the physical basis and representation of magnetic fields around a bar

Easy

Magnetic Field Mapping with Iron Filings

Permanent magnets produce complex magnetic fields that can be visualized using iron filings. In this

Easy

Magnetic Field vs. Distance from Wire

A long, straight wire carrying a constant current produces a magnetic field whose strength decreases

Hard

Magnetic Flux Through a Rotating Loop

A circular loop of radius $$r = 0.03 \; m$$ is placed in a uniform magnetic field of strength $$B =

Medium

Magnetic Force Cancellation in a U-Shaped Wire

A U-shaped wire is immersed in a uniform magnetic field of $$0.5\;T$$. The report claims that by pas

Medium

Magnetic Force on a Current-Carrying Wire

A current-carrying wire placed in a uniform magnetic field experiences a force. Analyze both the mag

Easy

Magnetic Levitation and Force Equilibrium

Investigate the conditions required for magnetic levitation using magnetic repulsion, and analyze po

Hard

Measurement of Lorentz Force on a Moving Conductor

A laboratory experiment is set up to measure the Lorentz force acting on a copper bar that slides al

Medium

Measurement of Magnetic Fields Using Hall Effect Sensors

The Hall Effect is a valuable tool for measuring magnetic fields. Explain the principle behind Hall

Medium

Measuring Magnetic Permeability via Compass Deflection

An experiment attempts to determine the magnetic permeability of a material by measuring the deflect

Medium

Motional EMF in a Conducting Rod

A conducting rod of length $$l = 0.2$$ m moves at a constant speed $$v = 3.0$$ m/s through a uniform

Medium

Motional EMF in a Moving Conductor

A conducting rod moving through a magnetic field develops an induced emf due to magnetic forces on f

Medium

Rotating Coil and Faraday's Law

A circular coil rotates at a constant angular speed within a uniform magnetic field. During rotation

Medium

Rotating Coil and Faraday’s Law Experiment

Design an experiment to test Faraday’s Law of electromagnetic induction by using a coil rotating in

Hard

Solenoid Magnetic Field

This FRQ explores the magnetic field inside a solenoid through derivations, calculations, and concep

Medium

Theoretical Exploration of Hypothetical Magnetic Monopoles

Although magnetic monopoles have not been observed, suppose that a magnetic monopole with magnetic c

Extreme

Uniform Field of a Solenoid

A researcher studies the magnetic field produced by a solenoid. Measurements of the magnetic field a

Medium

Uniform Magnetic Field Inside a Solenoid

A solenoid is constructed with 400 turns and has a length of 0.25 m. It carries a current of 2 A. An

Easy

Verification of Right-Hand Rule Using Compass Readings

An experiment is conducted where students use a current-carrying wire to generate a magnetic field a

Easy
Unit 6: Geometric and Physical Optics

Calculating Lens Power from Image Magnification

The power of a lens is defined as the reciprocal of its focal length (in meters). Analyze an example

Easy

Comparative Analysis of Concave and Convex Mirrors

An object is placed 24 cm from a mirror. Two mirrors are considered: a concave mirror with a focal l

Medium

Comprehensive Analysis of Optical Imaging Systems

Design an experiment that integrates lenses and mirrors to project an image onto a screen. This comp

Extreme

Concave Mirror Image Analysis

An object of height $$4 \text{ cm}$$ is placed $$30 \text{ cm}$$ in front of a concave mirror with a

Medium

Concave Mirror: Real vs. Virtual Image Error Analysis

A student performs an experiment using a concave mirror to form an image of an object. The experimen

Medium

Convex Mirror Image Analysis

A researcher is examining a convex mirror. An object of height 5 cm is placed 40 cm in front of a co

Medium

Convex Mirror Image Formation

An object of height $$h_o = 5 \ cm$$ is placed at a distance of $$d_o = 25 \ cm$$ in front of a conv

Medium

Diffraction Comparison: Single vs. Double Slit

In this question, you will compare the diffraction pattern produced by a single slit with the interf

Extreme

Diffraction Grating Analysis

A diffraction grating with 5000 lines per centimeter is used to analyze light of wavelength $$650*10

Hard

Diffraction Grating Experiment: Determining Wavelength of Light

Design an experiment using a diffraction grating to determine the wavelength of a light source. Your

Hard

Diverging Thin Lens Analysis

A researcher examines a diverging lens with a focal length of $$-20$$ cm. An object of height 8 cm i

Medium

Electromagnetic Spectrum Frequency Comparison

Electromagnetic waves cover a wide range of wavelengths. Consider the following: a radio wave with a

Easy

Electromagnetic Wave Oscillations

Describe how an oscillating charge produces an electromagnetic wave and explain the relationship bet

Easy

Electromagnetic Wave Propagation in Different Media

An experiment measured the speed of light in various media. The table below presents the recorded sp

Easy

Frequency Determination of Green Light: Speed of Light Misassumption

A student attempts to calculate the frequency of green light by measuring its wavelength with a spec

Easy

Image Formation by Convex Mirrors

A convex mirror has a focal length of $$20\,cm$$. An object is placed $$30\,cm$$ in front of the mir

Medium

Interference and Superposition of EM Waves

Two coherent electromagnetic waves interfere in a region of space. The first wave has an electric fi

Extreme

Interference from Coherent Light Sources

Two coherent, monochromatic light sources produce an interference pattern on a distant screen. Answe

Medium

Magnification in Diverging Lens: Formula Misapplication Error Analysis

A student performs an experiment with a diverging lens by measuring object height, image height, obj

Medium

Measuring the Speed of Light in a Transparent Medium

A student hypothesizes that while the speed of light in a vacuum is constant ($$c = 3.0*10^{8}\, m/s

Medium

Optical Fibers and Total Internal Reflection

Optical fibers use total internal reflection to guide light over long distances. Consider an optical

Hard

Plane Mirror Image Formation

An object is placed 25 cm in front of a plane mirror. (a) Determine the distance of the image from

Easy

Radio Waves in Communication

Radio communications often use electromagnetic waves with wavelengths on the order of meters. (a) C

Easy

Reflection and Refraction at a Glass Surface

A beam of light traveling in air is incident on a flat glass surface at an angle of $$30^\circ$$ rel

Easy

Reflection and Refraction: Application of Snell’s Law

This question examines the application of Snell's law to a light beam incident on a glass surface an

Easy

Reflection and Refraction: Snell's Law

A beam of light traveling in air (with an index of refraction, n = 1.0) strikes a glass surface (n =

Easy

Single Slit Diffraction Analysis

In this question, you will derive the condition for minima in a single slit diffraction pattern and

Medium

Single Slit Diffraction Experiment

A laser with a wavelength of $$632.8*10^{-9}\,m$$ is incident on a single slit of width $$a = 0.2*10

Medium

Snell's Law and Critical Angle: Measuring Refractive Indices

An experiment measured the critical angles for total internal reflection for two different media. Th

Easy

Thin Lenses: Converging Lens Analysis

In an experiment involving a converging lens, measurements were taken for various object distances.

Medium

Thin Lenses: Diverging Lens Analysis

A diverging lens experiment produced the following measurements. Given an object placed 48 cm from a

Medium

Total Internal Reflection and Critical Angle

Consider a beam of light traveling within water (with index of refraction $$n_{water} = 1.33$$) that

Easy

Total Internal Reflection in Prisms

A triangular prism made of glass with an index of 1.6 is used to redirect a light beam. A light ray

Medium

Young's Double Slit Experiment Analysis

In a Young's double slit experiment, monochromatic light of wavelength $$589 \times 10^{-9}\,m$$ pas

Medium

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Need to review before working on AP Physics 2: Algebra-Based FRQs?

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Where can I find practice free response questions for the AP Physics 2: Algebra-Based exam?
The free response section of each AP exam varies slightly, so you’ll definitely want to practice that before stepping into that exam room. Here are some free places to find practice FRQs :
  • Of course, make sure to run through College Board's past FRQ questions!
  • Once you’re done with those go through all the questions in the AP Physics 2: Algebra-BasedFree Response Room. You can answer the question and have it grade you against the rubric so you know exactly where to improve.
  • Reddit it also a great place to find AP free response questions that other students may have access to.
How do I practice for AP AP Physics 2: Algebra-Based Exam FRQs?
Once you’re done reviewing your study guides, find and bookmark all the free response questions you can find. The question above has some good places to look! while you’re going through them, simulate exam conditions by setting a timer that matches the time allowed on the actual exam. Time management is going to help you answer the FRQs on the real exam concisely when you’re in that time crunch.
What are some tips for AP Physics 2: Algebra-Based free response questions?
Before you start writing out your response, take a few minutes to outline the key points you want to make sure to touch on. This may seem like a waste of time, but it’s very helpful in making sure your response effectively addresses all the parts of the question. Once you do your practice free response questions, compare them to scoring guidelines and sample responses to identify areas for improvement. When you do the free response practice on the AP Physics 2: Algebra-Based Free Response Room, there’s an option to let it grade your response against the rubric and tell you exactly what you need to study more.
How do I answer AP Physics 2: Algebra-Based free-response questions?
Answering AP Physics 2: Algebra-Based free response questions the right way is all about practice! As you go through the AP AP Physics 2: Algebra-Based Free Response Room, treat it like a real exam and approach it this way so you stay calm during the actual exam. When you first see the question, take some time to process exactly what it’s asking. Make sure to also read through all the sub-parts in the question and re-read the main prompt, making sure to circle and underline any key information. This will help you allocate your time properly and also make sure you are hitting all the parts of the question. Before you answer each question, note down the key points you want to hit and evidence you want to use (where applicable). Once you have the skeleton of your response, writing it out will be quick, plus you won’t make any silly mistake in a rush and forget something important.