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 (62)
  • Unit 2: Thermodynamics (38)
  • Unit 3: Electric Force, Field, and Potential (48)
  • Unit 4: Electric Circuits (30)
  • Unit 5: Magnetism and Electromagnetic Induction (42)
  • Unit 6: Geometric and Physical Optics (28)
  • Unit 7: Quantum, Atomic, and Nuclear Physics (2)
Unit 1: Fluids: Pressure and Forces

Adjustable Pipe Flow Experiment

In an experiment, water flows through a pipe whose cross-sectional area can be mechanically adjusted

Medium

Airflow and Aerodynamic Lift

A researcher investigates the role of airflow in generating lift over an airplane wing using Bernoul

Medium

Airflow and Lift over an Airfoil

An experimental report claims that the difference in airspeed over the top and bottom surfaces of an

Hard

Analysis of a Fluid Flow Experiment with a Differential Pressure Sensor

In a horizontal pipe, a differential pressure sensor records the pressure at various measurement poi

Medium

Analysis of Flow in a Curved Pipe

Water flows through a curved pipe, where the curvature induces additional centrifugal effects.

Hard

Analyzing a Pressure-Flow Graph for a Fluid Pipe System

A graph is provided showing the relationship between pressure and flow rate in a controlled pipe sys

Medium

Analyzing Flow Rate Data from a Pipe

An experiment measures water flow through a pipe of varying diameters. The following data table show

Medium

Analyzing Submerged Structures in Fluids

A marine structure is designed to float partially submerged in a lake. The structure has a total mas

Medium

Average Hydrostatic Pressure on a Submerged Plate

A rectangular plate measuring 2 m in width and 1.5 m in height is submerged vertically in water (den

Extreme

Bernoulli's Equation and Pressure Variation in a Constricted Pipe

A pump forces water (with density $$1000\;kg/m^{3}$$) through a pipe that gradually narrows. At poin

Hard

Bernoulli’s Equation and Venturi Meter

A Venturi meter is installed in a pipe to measure fluid flow. The meter provides different pressure

Hard

Bernoulli's Equation in a Pumped Pipeline

A pump forces water through a pipeline that undergoes a decrease in cross-sectional area by a factor

Hard

Bernoulli's Equation in a Venturi Meter Experiment

An engineer uses a Venturi meter to measure the flow speed of water in a horizontal pipe. The meter

Medium

Bernoulli's Equation with Elevation Change

Water flows from a pump at point 1 where the speed is 1 m/s (elevation 0). It then flows to point 2,

Medium

Buoyancy Experiment: Verifying Archimedes' Principle

Design an experiment to measure the buoyant force on objects immersed in different fluids and thereb

Hard

Centrifugal Effects on Fluid Pressure Distribution

A fluid with density $$\rho = 800 \; kg/m^3$$ is contained in a cylindrical container and rotated wi

Hard

Column of Oil: Density and Pressure

A vertical column of oil with a density of $$800\;kg/m^3$$ is contained in a cylindrical container w

Easy

Continuity Equation and Flow Rate

Water flows through a circular pipe. At Section 1, the pipe has a radius of $$2\,cm$$ and the water

Easy

Continuity Equation Experimental Variation

The continuity equation predicts that the flow rate in a pipe remains constant. An experiment measur

Medium

Continuity Equation in a Non-Uniform Pipe

A researcher is analyzing water flow in a circular pipe whose diameter changes along its length. At

Medium

Continuity Equation in Pipe Flow

A circular pipe with a varying diameter carries water in a steady flow. At one section of the pipe,

Medium

Density Determination and Fluid Identification

This problem focuses on calculating density and using that result to discuss buoyancy. Answer the fo

Easy

Density Determination via Fluid Displacement

Design an experiment to measure the density of an irregularly shaped object using the method of flui

Easy

Designing a Water Distribution System using the Continuity Equation

An engineering water distribution system uses a main pipe which eventually splits into several branc

Hard

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

Determining Fluid Density Experimentally

In a laboratory experiment, a student measures the mass and volume of an unknown fluid. The measurem

Easy

Dynamics of a Floating Body in Fluid

A student investigates the dynamics of a floating object in water. The hypothesis is that when an ob

Easy

Effect of Temperature on Fluid Density and Pressure

A container holds a fluid that is heated from 20°C to 80°C, causing its density to decrease from 100

Medium

Effect of Temperature on Fluid Properties

This problem investigates how temperature changes affect fluid properties such as density and viscos

Medium

Energy Conversion in Hydraulic Systems

Hydraulic systems utilize fluid flow to convert energy and perform work. As fluid flows, energy is t

Extreme

Experimental Determination of Fluid Density

This problem requires designing an experiment using the buoyant force method to determine the densit

Medium

Flow Rate in a Constricted Pipe

Consider a circular pipe carrying water. The pipe has a radius of 2 cm and the water flows at a spee

Easy

Flow Rate in a Constricted Pipe

This question applies the continuity equation to determine flow rates and velocities in a pipe with

Medium

Fluid Dynamics in Natural Systems: River Flow Analysis

A river exhibits variations in cross-sectional area along its course due to natural and man-made con

Hard

Fluid Exit Velocity: An Orifice Flow Experiment

A group of students conducts an experiment to measure the speed of water exiting a small orifice at

Medium

Fluid Jet from a Tank Orifice

Water is flowing out of a small circular hole located near the bottom of a large tank. According to

Easy

Fluid Statics in Two-Layer Immiscible Liquids

A container holds two immiscible liquids. The top liquid (Liquid A) has a density of $$900 \cdot kg/

Medium

Gauge and Absolute Pressure Measurements

In an experiment, a pressure sensor records both gauge pressure and absolute pressure at various dep

Medium

Hydrostatic Pressure Variation

Consider a large open tank filled with water (density = 1000 kg/m³). The atmospheric pressure is giv

Medium

Hydrostatics: Force on Submerged Surfaces

A rectangular plate measuring $$2\,m \times 1\,m$$ is submerged vertically in water (density = 1000

Medium

Impact of Fluid Viscosity on Flow Dynamics

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

Extreme

Inclined Pipe Flow with Incorrect Gravitational Component

A student analyzes fluid flow in an inclined pipe by measuring pressure at the upper and lower secti

Hard

Industrial Fluid Density and Pressure Calculation

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

Easy

Interpretation of a Graph of Fluid Flow vs. Time

The graph below shows the volume flow rate (in $$m^3/s$$) measured in a pipe over a 10-second interv

Medium

Investigating Air Flow and Aerodynamic Lift

Design an experiment using a wind tunnel to investigate how wing curvature affects aerodynamic lift

Hard

Investigating Air Pressure Changes with Altitude

A researcher measures atmospheric pressure at different altitudes to study its variation with elevat

Medium

Investigating Flow Speeds in a Constricted Pipe

A researcher sets up an experiment to study the relationship between pipe cross-sectional area and f

Medium

Investigating Fluid Viscosity Effects on Flow

Fluid viscosity plays a significant role in determining flow characteristics. High viscosity fluids

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

Lift Generation in Airfoils

An airplane wing is designed so that air flows over its upper surface at a higher speed than beneath

Hard

Measurement and Correction of Fluid Pressure

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

Extreme

Mercury Barometer Atmospheric Pressure Measurement

An experiment employs a mercury barometer to measure atmospheric pressure. The claim is that the hei

Easy

Multi-Stage Fluid Dynamics Analysis in a Piping Network

A fluid flows through a piping network with three segments having different diameters and elevation

Hard

Net Force on a Submerged Curved Surface

Consider a dome-shaped, curved window that is fully submerged in water. The pressure on the surface

Extreme

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

Quantitative Analysis of Pressure Distribution in an Accelerating Fluid

A rectangular container with a length of $$2 \cdot m$$ is filled with water (density = $$1000 \cdot

Hard

Real-Time Fluid Pressure Monitoring

In a dynamic fluid system, pressure can vary rapidly with transient changes such as sudden valve clo

Hard

Real-World Application: Fluid Flow in a Piping System

A municipality is evaluating a new water piping system designed to transport water from a reservoir

Medium

Submerged Object Buoyant Force Evaluation

A hollow cylindrical object is partially submerged in water. Its cross-sectional area is 0.1 m² and

Medium

Submerged Object Pressure Analysis

A researcher examines the variation of hydrostatic pressure on an object fully submerged in water.

Medium

Temperature Effects on Fluid Pressure

Changes in temperature can affect the density of a fluid, and therefore the hydrostatic pressure at

Hard

Temporal Flow Rate Analysis from an Experimental Graph

A student records the flow speed of water through a pipe over a 30-second interval. The graph shows

Easy
Unit 2: Thermodynamics

Analysis of a Composite Thermodynamic Cycle

A gas undergoes a composite cycle consisting of an isobaric expansion, an adiabatic compression, and

Hard

Analysis of Conduction, Convection, and Radiation in Heat Transfer Experiment

An experiment is designed to study different modes of heat transfer. In one part of the experiment,

Medium

Analyzing Deviations from the Ideal Gas Law

A researcher measures the pressure of a gas at various volumes and observes deviations from the Idea

Hard

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

Comparison of Isothermal and Adiabatic Processes

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

Extreme

Derivation of the Root Mean Square Velocity

Starting from the average kinetic energy equation $$\frac{1}{2} m(v^2)_{avg} = \frac{3}{2} k_B T$$,

Medium

Designing an Experiment to Measure Convective Heat Transfer

A researcher aims to measure the convective heat transfer coefficient in a fluid flowing over a heat

Hard

Entropy and the Second Law

The Second Law of Thermodynamics introduces the concept of entropy, which is often associated with t

Medium

Entropy Change in Gas Mixing

A researcher investigates the change in entropy when two different ideal gases, initially separated,

Extreme

Entropy Changes in an Irreversible Process with Friction

Consider an ideal gas in a piston that is being compressed irreversibly. Due to friction in the pist

Extreme

Entropy Changes in Thermodynamic Processes

A researcher examines a system that undergoes two processes: the system absorbs heat and then reject

Medium

Entropy Changes in Thermodynamic Processes

A system undergoes an irreversible expansion followed by a reversible compression. Analyze and evalu

Hard

Error Analysis in Pressure and Temperature Measurements

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

Hard

Experimental Design for Gas Effusion

Graham's law states that the rate of effusion of a gas is inversely proportional to the square root

Medium

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

Gas Flow Rate and Viscous Losses Experiment Error

A student sets up an experiment to study the relationship between gas flow rate and pressure drop th

Medium

Gas Pressure in Constant Volume Experiment

In a constant-volume experiment, a sealed container is heated and the resulting pressure is measured

Easy

Heat Conduction Through Materials

Heat conduction in a material is governed by the equation $$\frac{Q}{\Delta t} = \frac{k * A * \Delt

Medium

Heat Engine Efficiency Analysis

A heat engine operates by drawing heat from a high-temperature source and rejecting part of it as ex

Hard

Heat Engine Efficiency and Cycle Analysis

A heat engine operates in a cyclic process. In one cycle, it draws 1000 J of heat from a high-temper

Medium

Heat Engine Efficiency in Different Thermal Reservoir Conditions: Experimental Design

The efficiency of a heat engine depends on the temperatures of its high-temperature and low-temperat

Hard

Influence of Molecular Mass on Gas Pressure and Speed

Two gases are each confined in identical rigid containers. Both contain the same number of molecules

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 Thermodynamic Processes: Isobaric vs Isochoric

In a controlled experiment, a gas undergoes two distinct processes: an isobaric expansion followed b

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

A sample of an ideal gas is described by the kinetic theory: $$v_{rms} = \sqrt{\frac{3 * k_{B} * T}{

Medium

Maxwell-Boltzmann Distribution Analysis

The Maxwell-Boltzmann distribution provides a statistical description of the speeds of molecules in

Hard

Maxwell-Boltzmann Distribution Analysis Experiment Error

A student conducts an experiment to validate the Maxwell-Boltzmann distribution by measuring the fli

Extreme

Pressure Sensor Calibration Error in Gas Experiment

In an experiment intended to verify the Ideal Gas Law, a student uses a pressure sensor to record th

Easy

Real vs. Ideal Gas Behavior

While the Ideal Gas Law $$PV = nRT$$ describes the behavior of gases under many conditions, real gas

Extreme

Reversibility and Work in Thermodynamic Cycles

A reversible thermodynamic cycle is performed, and a P–V diagram of the cycle is recorded. Use the d

Hard

Temperature and Kinetic Energy Relations

This experiment investigates the relationship between temperature and the average kinetic energy of

Medium

Thermodynamic Process Data Analysis: Evaluating P–V and T–S Diagrams

Graphs such as P–V and T–S diagrams provide insight into the energy changes in a system during therm

Extreme

Thermodynamic Processes and Energy Changes

Many thermodynamic processes involve changes in volume, pressure, and temperature. Consider an ideal

Hard

Time-Resolved Thermal Imaging Experiment Error

A student uses a thermal imaging camera to study the cooling rates of a heated brick as it returns t

Hard

Work and Heat in an Isobaric Process

Consider an ideal gas expanding at a constant pressure of $$1.5\times10^5\;Pa$$ from an initial volu

Medium

Work Done in a Non-Constant Pressure Process

An ideal gas is compressed in a cylinder by a piston, and the pressure inside the cylinder varies wi

Hard

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 Field Variation Above a Charged Plate

An experiment measured the electric potential at various distances from a large, uniformly charged p

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 Network Analysis in Series and Parallel

In a circuit, three capacitors are connected as follows: capacitor C1 (4 μF) is connected in series

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 Oil Drop Experiment: Uniform Field and Drag Force Error

In a modified oil drop experiment intended to verify the quantization of electric charge, tiny oil d

Medium

Charging and Discharging of a Capacitor – Time Response Analysis

This problem examines the time-dependent behavior of a capacitor in an RC circuit and requires you t

Medium

Charging Methods Comparison

A researcher conducts two experiments to charge a neutral metal sphere. In Experiment 1, the sphere

Easy

Comparing Charging Methods: Friction, Conduction, and Induction

Design an experiment to compare the efficiency and outcome of charging objects through friction, con

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 Pendulum Experiment Error Analysis

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

Easy

Determining Coulomb's Constant Experiment

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

Hard

Effect of a Dielectric on Capacitor Capacitance

A parallel-plate capacitor with capacitance C₀ is filled with vacuum. (a) If a dielectric material

Easy

Electric Dipole Torque in a Uniform Field

An electric dipole with dipole moment $$p = 3.0 \times 10^{-29}\,C\cdot m$$ is placed in a uniform e

Medium

Electric Field due to a Point Charge in Different Media

Consider a point charge Q = 2.0 × 10⁻⁹ C placed in free space.

Medium

Electric Field Lines and Equipotential Mapping Misinterpretation

In a laboratory experiment, a student is tasked with mapping electric field lines and equipotential

Hard

Electric Field Mapping and Equipotential Surfaces

In an experiment, equipotential maps are generated for a charge configuration. These maps illustrate

Medium

Electric Field Variation with Distance

A researcher measures the strength of the electric field produced by a point charge of $$+2.0 \times

Medium

Electric Potential Due to a Point Charge

A point charge of $$+2.0*10^{-9}$$ C creates an electric potential in the surrounding space. (a) Ca

Medium

Electric Potential Due to a Point Charge

Given a point charge Q = 2×10⁻⁹ C, determine the electric potential at a point located 2 cm from the

Easy

Electric Potential Energy in Uniform Field

A researcher moves a charge $$q$$ along the direction of a uniform electric field $$E$$. The displac

Easy

Electric Potential Variation in a Conical Capacitor

A non-standard capacitor is constructed with one plate conically shaped, leading to non-uniform sepa

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

Enhancement of Capacitance with a Dielectric

A capacitor with an initial capacitance of C₀ is filled with a dielectric material having a dielectr

Easy

Evidence of Charge Quantization in Oil-Drop Experiment

An experiment modeled after Millikan's oil-drop experiment produced the following measurements for t

Easy

Experimental Analysis of Charge Quantization

Design an experiment that demonstrates the quantization of electric charge using either the oil drop

Hard

Force Comparison in Hydrogen Atom

An experiment is conceptually designed to compare the magnitude of the electric force to the gravita

Medium

Impact of Dielectrics on Capacitance

A recent report claims that inserting a dielectric with a dielectric constant of 3 into a parallel-p

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

Kinetic Energy Gain of a Test Charge in a Non-Uniform Electric Field

A test charge of $$q = +5.0 \times 10^{-9}\,C$$ is released from rest at a distance of $$0.20\,m$$ f

Hard

Measuring Coulomb Force Experiment

A scientist is investigating the validity of Coulomb's Law by measuring the force between two charge

Medium

Millikan Oil-Drop Experiment

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

Hard

Motion of a Charged Particle in a Non-Uniform Electric Field

A particle with charge \(q\) and mass \(m\) moves into a region where the electric field varies with

Hard

Net Force on Central Charge in a Square Configuration

Four equal positive point charges (each of magnitude Q) are placed at the vertices of a square with

Medium

Parallel-Plate Capacitor Characteristics and Energy Storage

A parallel-plate capacitor has a capacitance of $$10\,nF$$ and stores a charge of $$50\,\mu C$$ on e

Medium

Polarization Effects in Conductors vs. Insulators

A positively charged rod is brought near two initially uncharged spheres: Sphere A (a conductor) and

Extreme

Proton-Electron Force Comparison

This question examines the forces between a proton and an electron in a hydrogen atom and requires y

Medium

Quantisation of Electric Charge

In a modern reinterpretation of the Millikan oil drop experiment, oil drops are observed to remain s

Hard

RC Circuit Charging

A researcher investigates the charging behavior of a capacitor in an RC circuit. The circuit contain

Medium

Studying Charge Redistribution through Induction

Design an experiment to demonstrate charge redistribution on conductors using the principle of induc

Medium

Three-Dimensional Vector Addition of Electric Forces

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

Extreme

Vector Addition of Electric Forces in a Linear Three-Charge System

Three point charges are aligned on a straight horizontal line. Their positions and charges are as fo

Hard

Verification of the Inverse Square Law for Electric Forces

An experiment measured the electric force between two charged objects as the distance between them w

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 and Potential Difference in a Uniform Electric Field

A positive charge of $$+1.0*10^{-2}$$ C is moved a distance of 0.15 m in the direction of a uniform

Medium

Work Done and Change in Electric Potential Energy

A particle with charge $$q = +3.0 \times 10^{-9} \; C$$ is displaced by $$0.05 \; m$$ in the directi

Easy

Work Done in a Non-uniform Electric Field

A charged particle experiences a non-uniform electric field given by $$E(y) = 200 \; y \quad (N/C)$$

Medium

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

Advanced Analysis of Battery Internal Resistance with External Loads

A battery with an internal resistance r is connected to various external load resistors. The table b

Extreme

Analyzing Kirchhoff’s Laws in a Complex Circuit

A circuit is constructed with a 15 V battery that feeds into three branches: one with a 5 Ω resistor

Hard

Analyzing Power Dissipation with a Variable Resistor

A resistor with a variable resistance ranging from 5 Ω to 20 Ω is connected to a constant 12 V sourc

Medium

Analyzing Power Efficiency in Batteries with Internal Resistance

A battery with an EMF of 15 V and internal resistance $$r = 0.5\,Ω$$ is connected to a load resistor

Medium

Battery Internal Resistance Analysis

A battery with an ideal electromotive force (EMF) of $$12\,V$$ has an internal resistance of $$1\,\O

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

Battery Internal Resistance: Terminal Voltage Measurement

A battery with an ideal electromotive force (EMF) of 9 V is connected to a resistor of 10 Ω. Due to

Medium

Capacitor Charging and Discharging in RC Circuits

An experiment claims that when a charged capacitor discharges through a resistor, the voltage across

Hard

Capacitor Charging Experiment in an RC Circuit

A student assembles an RC circuit that includes a 12 V battery, a 3 Ω resistor, and an initially unc

Medium

Capacitor Charging in an RC Circuit

In an RC circuit, a capacitor is charged by connecting it to a battery through a resistor. Consider

Medium

Comparative Analysis of Capacitor Charging Profiles

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

Extreme

Deriving Equivalent Resistance for a Mixed Circuit

Consider a circuit comprised of four resistors arranged as follows: Resistors R₁ = 100 Ω and R₂ = 15

Medium

Determining Equivalent Resistance in Mixed Resistor Networks

A circuit is constructed using three resistors: one resistor of 100 \(\Omega\), one of 200 \(\Omega\

Medium

Determining Resistivity from Measured Data

A student measures several parameters of a wire in order to calculate its resistivity.

Hard

Effect of Dielectric on Capacitance in a Parallel-Plate Capacitor

A parallel-plate capacitor with plate area A and separation d is initially filled with air (dielectr

Hard

Effects of Altering Capacitance in a Charged Capacitor Circuit

A capacitor is first charged in a circuit with a battery connected, and then the battery is disconne

Medium

Energy Storage Analysis in Capacitors

A capacitor stores energy according to the formula $$E = \frac{1}{2} C V^2$$. Consider a capacitor w

Easy

Evaluating a Modified Ammeter Design for Improved Accuracy in Low-Current Measurements

A claim has been made that a newly designed ammeter with ultra-low internal resistance provides sign

Hard

Evaluating Conductance and its Relationship to Resistance

Electrical conductance, the reciprocal of resistance, is an important parameter in circuit analysis.

Easy

Experimental Circuit Measurements Analysis

A researcher records experimental data from a circuit using a voltmeter and an ammeter. The data is

Extreme

Heat Generation and Power Dissipation in Resistors

A circuit experiment provides measurements of voltage and current for different resistors. Use the d

Medium

Impact of Resistor Network Configuration on Circuit Performance

A circuit is composed of a resistor network where two $$8 \Omega$$ resistors are connected in series

Hard

Investigating Charge Leakage Effects in Capacitor Charging Experiment

A student studies the charging curve of a capacitor in an RC circuit by recording the voltage over t

Medium

Investigating the Effect of Series and Parallel Resistor Arrangements on Circuit Efficiency

A circuit is configured in two ways using three resistors with values 100 Ω, 150 Ω, and 250 Ω. In Co

Hard

Multi-branch Circuit Analysis

A complex circuit consists of two branches: Branch A contains two resistors (4 Ω and 3 Ω) in series,

Hard

Power Dissipation in Resistors

In circuits, resistors convert electrical energy into heat. This problem explores the concept of pow

Medium

RC Circuit Response and Steady State Behavior

Consider an RC circuit containing a battery, a resistor, a capacitor, and an additional resistor in

Medium

RC Circuit Response to Voltage Change

Consider an RC circuit consisting of a resistor of $$100\,\Omega$$ and a capacitor of $$100\,\mu F$$

Hard

Series and Parallel Resistor Analysis

This question examines the behavior of resistors arranged in series and parallel in simple circuits.

Easy

Series-Parallel Circuit with Capacitors and Resistors

A complex circuit is built with both resistor and capacitor networks. In the resistor network, resis

Extreme
Unit 5: Magnetism and Electromagnetic Induction

Analysis of Electromagnetic Induction in a Rotating Coil

A circular coil rotates in a magnetic field and experiences an induced emf. Analyze the instantaneou

Hard

Analysis of Magnetic Torque on a Current Loop

A rectangular loop carrying a current $$I = 2.0$$ A is placed in a uniform magnetic field of strengt

Hard

Calculating Magnetic Force on a Moving Charge

A charged particle moves through a uniform magnetic field. Use the information provided to answer th

Easy

Circular Motion of a Charged Particle in a Magnetic Field

A charged particle enters a uniform magnetic field perpendicular to its velocity and undergoes unifo

Hard

Comparative Analysis of Magnetic Forces on Oppositely Charged Particles

Two particles, one with a positive charge of $$q_1 = +2 \times 10^{-6} \; C$$ and the other with a n

Medium

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

Determining Magnetic Permeability via Solenoid Insertion

Design an experiment to determine the magnetic permeability of a material by inserting it into a sol

Hard

Effect of Magnetic Field Strength on Induced Current

Design an experiment to explore how varying the magnetic field strength affects the induced current

Hard

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 a Rotating Loop

A circular loop rotates in a uniform magnetic field, causing a time-varying magnetic flux and induce

Hard

Energy Storage in an Inductor

In an electrical circuit, an inductor with inductance $$L = 0.5 H$$ carries a current of $$I = 3 A$$

Medium

Evaluating Magnetic Flux Change in a Rotating Loop

A circular loop of wire is rotated in a uniform magnetic field. The change in orientation causes the

Easy

Evaluating Solenoid Field Uniformity

In an experiment, the magnetic field inside a solenoid is measured at different positions along its

Hard

Experimental Verification of Lenz's Law

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

Hard

Exploring Eddy Currents and Energy Dissipation

Eddy currents are induced in conductors when exposed to changing magnetic fields, and they can lead

Hard

Faraday’s Law and Induced EMF

An experiment uses a coil with a fixed number of turns, where the external magnetic field strength i

Extreme

Faraday's Law and Rotating Loop

This FRQ requires applying Faraday's law to a rotating circular loop in a uniform magnetic field.

Hard

Force on a Proton Near a Current-Carrying Wire

A proton moves near a long, straight wire that carries a constant current. Analyze the magnetic fiel

Medium

Graph Analysis: Magnetic Force vs. Velocity

An experiment investigates the relationship between the velocity of a charged particle and the magne

Hard

Induced EMF in a Rotating Rod

A conducting rod of length $$L = 0.4 m$$ rotates about one end in a uniform magnetic field $$B = 0.3

Hard

Induced EMF in a Sliding Rod Circuit

Consider a circuit formed by a sliding rod of length $$\ell$$ that moves on conducting rails, comple

Hard

Magnetic Braking in a Rotating Metal Disk

A metal disk is set into rotation and brought near a set of fixed magnets arranged so that eddy curr

Hard

Magnetic Field Visualization

This FRQ explores the nature of magnetic fields and how magnetic field lines are used to represent t

Easy

Magnetic Flux and Loop Angle

A circular loop of wire is placed in a uniform magnetic field. Its orientation relative to the field

Easy

Magnetic Flux Change in a Rotating Loop

A circular loop of wire is rotating in a uniform magnetic field, causing a time-dependent change in

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 Levitation System Design

A researcher is tasked with designing a magnetic levitation system to suspend a small object. The go

Extreme

Magnetic Permeability and Field Mapping

A researcher investigates the effect of material magnetic permeability on the distribution of magnet

Medium

Mapping Magnetic Field Lines with Iron Dust

A recent experimental report claims that by sprinkling iron dust on a piece of paper placed over a b

Easy

Mapping Magnetic Field Lines with Iron Filings

A bar magnet is placed on a flat surface and iron filings are sprinkled around it. Describe how yo

Easy

Mapping Magnetic Field Strength vs. Distance

Design an experiment to map how the magnetic field strength decreases with distance from a magnet. Y

Medium

Mapping the Magnetic Field Around a Straight Current-Carrying Wire

In this experiment, students use a Hall sensor to measure the magnetic field (B) at various distance

Easy

Measuring the Magnetic Field Inside a Solenoid

A solenoid in a laboratory has 500 turns and a length of $$L = 0.5 \; m$$ and carries a current of $

Hard

Motional EMF and Velocity

In an experiment, a conducting rod moves perpendicular to a uniform magnetic field at various speeds

Medium

Motional EMF in a Sliding Bar Circuit

A U-shaped rail of length 1 m is connected by a sliding conductive bar, forming a rectangular circui

Medium

Net Force on a Current-Carrying U-shaped Wire

Consider a U-shaped wire immersed in a uniform magnetic field of magnitude $$B = 0.2 \; T$$ directed

Medium

Power and Energy Conversion in Motional EMF

A conducting rod of length $$L = 0.5 m$$ moves at a constant speed of $$v = 3 m/s$$ through a unifor

Medium

Right-Hand Rule Application in a Multi-Charge System

Three particles are moving in a uniform magnetic field of $$0.4$$ T with the following properties: •

Medium

Temperature Effects on Magnetic Permeability in Materials

Researchers aim to study how temperature influences the relative magnetic permeability of ferromagne

Hard

Time-Dependent Induced EMF in a Rotating Loop

Design an experiment to investigate how the induced emf in a rotating loop varies over time, particu

Extreme

U-Shaped Wire and Magnetic Force Equilibrium

A U-shaped wire with a mass of $$m = 0.2 kg$$ has a horizontal middle segment of length $$L = 0.4 m$

Medium

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

Advanced Thin Lens Systems in Compound Microscopes

A compound microscope uses two converging lenses: an objective lens with a focal length of $$f_o = 0

Extreme

Combined Mirror-Lens System Analysis

An optical system is constructed using a converging lens and a concave mirror arranged along a commo

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

Convex Mirror Image Analysis

An object is positioned 30 cm in front of a convex mirror with a focal length of -15 cm. Answer the

Easy

Convex Mirror Image Formation

This question examines the properties of images formed by convex mirrors and requires you to perform

Easy

Curved Mirror and Lens Combination in Optical Instruments

Design a simplified optical instrument that incorporates a concave mirror and a converging lens. Ans

Extreme

Determining Indices and Critical Angles

Light travels from a glass medium into air. In one experiment, a beam in glass strikes the interface

Medium

Determining Slit Separation from Fringe Spacing

In a Young's double slit experiment, the measured fringe spacing on the screen is $$\Delta y = 2.5 \

Medium

Diffraction Grating Analysis

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

Hard

Diffraction Gratings Analysis

A diffraction grating with 5000 lines per centimeter is used to analyze sodium light with wavelength

Hard

Diverging Lens and Virtual Image Formation

Diverging lenses produce virtual, diminished, and upright images. Analyze the image formation by a d

Medium

Effects of Wavelength Change in Interference Patterns

This question examines the effect of changing the wavelength of light on the interference patterns p

Hard

Experimental Verification of the Law of Reflection

The law of reflection states that the angle of incidence equals the angle of reflection. This questi

Easy

Extended Analysis in Young's Double Slit Experiment with Changing Wavelength

A researcher performs Young's double slit experiment with a slit separation of $$d = 0.5*10^{-3}$$ m

Medium

Fiber Optics and Total Internal Reflection

An optical fiber operates on the principle of total internal reflection. The core of the fiber has a

Extreme

Image Formation by Concave Mirrors

A concave mirror has a focal length of $$10\,cm$$. An object of height $$4\,cm$$ is placed $$30\,cm$

Medium

Impact of Wavelength on Single Slit Diffraction Patterns

In an experiment, a student investigates how changing the light's wavelength affects the diffraction

Easy

Interference with Variable Slit Separation: Observing the Changes in Fringe Spacing

Design an experiment to investigate how varying the separation between slits in a double slit appara

Extreme

Laser Interferometry and Fringe Shift Analysis

A student employs a Michelson interferometer with a coherent laser source (wavelength $$\lambda = 63

Extreme

Lens Power Calculations and Image Magnification

In a converging lens experiment, an object placed 10 cm from the lens produces a real image that is

Medium

Multiple Interfaces: Sequential Refraction

A light ray passes through a system consisting of three media with refractive indices: air ($$n_1 =

Hard

Optical Instruments - Microscope Lens System

A compound microscope uses two converging lenses. The objective lens has a focal length of 0.8 cm, a

Hard

Plane Mirror Reflection: Image Formation Error Analysis

A student designs an experiment to study image formation using a plane mirror. The setup involves an

Easy

Polarization and Intensity of EM Waves

A beam of unpolarized light passes through a polarizing filter, emerging as linearly polarized light

Medium

Reflection and Refraction at an Interface

A beam of light traveling in air (index of refraction $$n_1 = 1.0$$) strikes the surface of a glass

Easy

Single Slit Diffraction Experiment: Determining Slit Width

Design an experiment to measure the width of a single slit by analyzing its diffraction pattern. You

Medium

Thin Film Interference and Optical Coatings

A thin film coating on a glass surface is designed to produce constructive interference for light of

Hard

Young's Double Slit Experiment: Fringe Analysis

This question explores the interference patterns observed in Young's double slit experiment and inve

Medium

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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.