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 (63)
  • Unit 2: Thermodynamics (39)
  • Unit 3: Electric Force, Field, and Potential (30)
  • Unit 4: Electric Circuits (37)
  • Unit 5: Magnetism and Electromagnetic Induction (41)
  • Unit 6: Geometric and Physical Optics (38)
  • 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 over an Airfoil Experiment

A wind tunnel experiment investigates the pressure distribution on an airfoil. Sensors along the cho

Hard

Ballast Systems in Submarines: Buoyancy Control

A submarine uses ballast tanks to adjust its buoyancy. Consider a submarine with an overall volume o

Extreme

Bernoulli's Data Analysis

An experiment is conducted where a fluid flows through a horizontal pipe. A graph showing the variat

Medium

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 Application

A horizontal pipe has a constriction such that the cross-sectional area at Section 2 is one-third of

Hard

Bernoulli's Equation in a Constricting Pipe

In a pipe system, water is pumped at a constant flow rate. The pipe gradually constricts so that at

Medium

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 Pressure-Velocity Experiment

An experiment was conducted on fluid flow in a pipe with varying cross-sectional areas. The table be

Hard

Bernoulli’s Principle in Spillway Flow

This problem applies Bernoulli’s principle to analyze water flow over a spillway and to discuss ener

Hard

Buoyancy Analysis of a Floating Object

An object with a mass of 150 kg and a volume of 0.75 m³ is placed in a fluid. Consider a fluid with

Easy

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

Buoyant Force Measurement Experiment

In an experiment designed to measure buoyant force, the weights of submerged objects were recorded.

Medium

Calculating Buoyant Force

An irregular object is completely submerged in water (density $$1000\;kg/m^3$$) and displaces a volu

Easy

Comparing Flow Rates in Different Pipes

A fluid flows through a pipe system that splits into two branches. Branch A has a circular cross-sec

Medium

Comparing Fluid Pressures in Different Media

Two open-top tanks contain different fluids. Tank 1 is filled with water (density = $$1000 \cdot kg/

Easy

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 in a Variable Diameter Pipe

A circular pipe carries water with an initial section having a radius of 2 cm and a flow speed of 6

Easy

Continuity Equation: Flow in a Pipe

A horizontal pipe carries water and has a section where its cross-sectional area changes. At Point 1

Medium

Density and Pressure of a Cement Column

A vertical cement column with a base area of $$0.5 \cdot m^2$$ and a height of $$2 \cdot m$$ is cons

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 by Immersion Experiment

A student conducts an experiment to determine the density of a metal cylinder by measuring the chang

Medium

Density Determination Using a Hydrometer Experiment

In an experiment to determine the density of various liquids, a hydrometer is used. The operating pr

Easy

Density Variation with Temperature in Liquids

A researcher measures the density of water at different temperatures and obtains the following data:

Easy

Determining Object Volume through Fluid Displacement

A student in a laboratory measures the volume of an irregularly shaped stone by submerging it in wat

Easy

Diver's Pressure: Hydrostatic and Atmospheric Contributions

A diver descends to a depth of 30 m in seawater with a density of 1025 kg/m³. The atmospheric pressu

Medium

Effect of Temperature on Fluid Density and Hydrostatic Pressure

Design an experiment to measure how the density of a fluid changes with temperature and how these ch

Hard

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

Evaluating Fluid Pressure under Variable Density Conditions

In an experimental setup, the fluid density varies with depth according to $$\rho(y) = \rho_0 + k *

Extreme

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

Flow Rate Analysis in Variable Cross-Section Pipes

A water flow experiment is conducted using a pipe with two sections of different diameters. The meas

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

Fluid Compressibility and Breakdown of Bernoulli's Equation

Bernoulli's equation assumes that fluids are incompressible. In high-speed flows, however, compressi

Extreme

Fluid Density and Hydrostatic Pressure Calculation

A liquid sample has a mass of $$0.8 \; kg$$ and occupies a volume of $$10^{-3} \; m^3$$. In a separa

Easy

Fluid Depth Pressure Graph Analysis

A pressure sensor is used to measure the pressure at different depths in a water tank. The following

Medium

Fluid Flow in Industrial Piping Systems

In an industrial setup, water is transported through pipes with varying diameters. Measurements for

Hard

Fluid Flow Through an Orifice

A large tank drains water through a small orifice at its bottom. According to Torricelli’s law, the

Medium

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

Fluid Flows in Microgravity

A physics laboratory aboard an orbital space station is investigating how fluids behave in micrograv

Extreme

Fluid Force on a Submerged Surface

A civil engineering team is studying the pressure distribution on a dam wall due to the water it hol

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

Graphical Analysis of Fluid Flow Data

A team of students measures the fluid velocity at various positions along a pipe with a varying cros

Medium

Hydrostatic Pressure Analysis

A researcher investigates hydrostatic pressure in a fluid system. In an experiment conducted with wa

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 Density on Buoyancy Forces

A block of wood with a volume of 1.0 m³ and a density of 600 kg/m³ floats in freshwater (density 100

Medium

Interpretation and Analysis of a Fluid Flow Schematic

A schematic diagram is provided that represents fluid flow in a horizontal pipe system. The diagram

Extreme

Investigating Pressure-Volume Relationships in Sealed Systems

Design an experiment to investigate the relationship between pressure and volume in a sealed contain

Medium

Manometer Pressure Measurements

An experiment uses a U-tube manometer filled with water to measure pressure differences in a fluid s

Easy

Measurement of Flow Rate in a Venturi Meter

A venturi meter is installed in a pipeline to measure flow rate by producing a pressure drop at the

Medium

Measurement Uncertainty in Fluid Density

In a laboratory experiment, the density of an unknown fluid is measured using a pycnometer. The mass

Medium

Oil-Water Separation in Multi-Phase Fluid Systems

An experiment is conducted in a container to investigate oil-water separation based on density diffe

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

Oscillatory Flow in a U-Tube

A U-tube with a uniform cross-sectional area contains water (density = 1000 kg/m³) such that the tot

Hard

Pipeline Flow Optimization in a Water Treatment Facility

A water treatment facility operates a pipeline that has three sections with varying diameters. The f

Hard

Pressure Distribution in a Multi-fluid Container

A container is divided by a removable partition into two sections. One section contains water (densi

Extreme

Pressure on a Vertical Column

A cylindrical concrete pillar has a base area of $$0.75\,m^2$$, a height of $$3.0\,m$$, and a densit

Medium

Pressure Variations in a Natural Lake

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

Medium

Reynolds Number and Flow Regime Analysis

In an experiment, water flows through a pipe with a diameter of $$0.05\,m$$ at a velocity of $$2.0\,

Hard

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

Solid Column Pressure Calculation

A vertical column made of cement is used in a structural experiment. The column has a uniform cross-

Easy

Static Fluid Pressure in a Tank

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

Medium

Viscosity Impact on Pipe Flow Rates

An experiment was conducted to investigate the effect of fluid viscosity on flow rates in identical

Extreme
Unit 2: Thermodynamics

Adiabatic Process Analysis: Measuring Temperature and Work in Rapid Gas Expansion

Adiabatic processes occur with no heat transfer. Design an experiment to analyze a rapid gas expansi

Medium

Adiabatic Process Work Calculation

A researcher analyzes an expansion process of a gas that is performed adiabatically (i.e., no heat e

Hard

Adiabatic vs. Isothermal Transition Timing Experiment Error

A student designs an experiment to compare adiabatic and isothermal expansions of a gas by rapidly m

Hard

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

Analyzing Energy Balance in a Calorimetry Experiment

In a calorimetry experiment, a water bath is used to measure the energy transfer. The specific heat

Easy

Analyzing Gas Mixtures with Dalton's Law

In a container, two different ideal gases are mixed together. Dalton's Law of Partial Pressures stat

Easy

Application of the First Law in Gas Expansion

A researcher studies an isobaric expansion of a gas. During the process, the gas absorbs $$250\,J$$

Medium

Comparative Analysis of Heat Engine Cycles

Two heat engines, Engine A and Engine B, operate under different conditions. Their heat inputs and o

Hard

Comparative Study of Heat Transfer Modes in Earth's Atmosphere

Understanding heat transfer in the Earth’s atmosphere is crucial for climate modeling. The three pri

Extreme

Comparing Thermal Conductivity of Materials

A researcher compares the heat conduction properties of copper and aluminum rods of identical dimens

Easy

Conduction Heat Transfer: Experimental Design for Material Thermal Conductivity Measurements

Heat conduction through materials depends on their thermal conductivity. Design an experiment to mea

Medium

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

Designing a Heat Engine for Maximum Efficiency

A researcher is designing an idealized Carnot heat engine operating between a high-temperature reser

Easy

Designing a Thermodynamic Experiment

You are tasked with designing an experiment to measure the effect of temperature on the rate of heat

Medium

Designing a Thermos: Minimizing Heat Transfer

A thermos is designed to keep liquids hot by minimizing heat transfer. Discuss the design features c

Medium

Effect of Molecular Mass on RMS Velocity

Examine how the molecular mass of a gas affects its root mean square velocity, given by the equation

Medium

Energy Conservation in Thermodynamic Processes

For any process, the First Law of Thermodynamics states that $$\Delta U=Q+W$$. (a) Calculate the cha

Easy

Energy Conversion in a Steam Engine

A steam engine operates with an efficiency of 30% and absorbs 2000 J of heat per cycle. (a) Calcula

Medium

Entropy Change in a Thermodynamic Cycle

During a cyclic process, an experiment measures the change in entropy during various stages. Analyze

Hard

Entropy Changes in Thermodynamic Processes

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

Medium

Evaluating a Cooling System's Efficiency

A refrigerator extracts 500 J of heat from its interior and requires 150 J of work input per cycle.

Medium

Gas Particle Collisions and Pressure Derivation

The kinetic theory of gases explains that the pressure exerted by a gas is due to the collisions of

Medium

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 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 and Energy Analysis

A heat engine operates in cycles, drawing heat from a high-temperature reservoir and rejecting part

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

Interpreting a Maxwell-Boltzmann Speed Distribution Graph

Analyze the Maxwell-Boltzmann speed distribution graph provided and answer the following.

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

Kinetic Energy and Temperature Relationship

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

Medium

Modes of Heat Transfer in Composite Materials

Examine the diagram of a composite wall that illustrates conduction, convection, and radiation. Answ

Easy

Net Force on a Confined Gas Container Lid

A cylindrical container holds gas at an internal pressure of $$1.018 \times 10^5\,Pa$$, while the ex

Easy

Radiative Heat Transfer Analysis

A researcher examines the radiative heat transfer between two parallel surfaces acting as black bodi

Hard

Radiative Heat Transfer Experiment Error

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

Hard

Radiative Heat Transfer Trend Analysis

An experiment measures the rate of radiative heat transfer from a heated object as a function of the

Medium

Real Gas Behavior at High Pressures

At high pressures, real gases deviate from ideal gas behavior. (a) Using the van der Waals equation

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

Verification of RMS Speed Dependence on Temperature

An experiment measured the RMS speed of gas molecules at different temperatures, with the following

Medium

Work Done Along Different Thermodynamic Paths

Consider a gas that changes state from a to b via two different paths. Path 1: An isobaric expansion

Medium

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

Analysis of an Electric Dipole Field

An electric dipole consists of two charges, \(+q\) and \(-q\), separated by a distance \(d\). (a) D

Hard

Analyzing the Inverse Square Nature of Electric Fields

A point charge Q produces an electric field that is expected to vary with distance r according to an

Hard

Charge Quantization in Isolated Systems

An isolated metal sphere is charged with a net charge of $$3.2*10^{-9}$$ C. (a) Calculate the numb

Easy

Charged Projectile Motion: Vector Decomposition Error

An experiment is set up to study the trajectory of a charged projectile launched horizontally in the

Extreme

Charging an RC Circuit

Consider an RC circuit connected to a 12 V battery. The circuit consists of a resistor with resistan

Medium

Diagram Analysis: Electric Field Lines and Equipotentials in a Dipole

The following diagram represents an electric dipole configuration. It shows two charges located on t

Extreme

Effect of a Dielectric on Capacitor Capacitance

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

Easy

Effect of Temperature on Dielectric Constant in Capacitors

Propose an experimental setup to study how temperature affects the dielectric constant of a capacito

Hard

Effects of Dielectrics on Capacitor Performance

A capacitor with an initial capacitance $$C_0$$ has a dielectric material with a dielectric constant

Medium

Electric Dipole Moment Experiment with External Field Perturbation

In an experiment designed to measure the dipole moment of aligned molecules, a sample is placed in a

Extreme

Electrostatic Shielding in a Conducting Sphere

A hollow metallic sphere carries a net charge on its surface, and a point charge is placed inside th

Hard

Enhancement of Capacitance with a Dielectric

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

Easy

Equipotential Curves for an Electric Dipole

An electric dipole consists of two equal and opposite charges separated by a small distance. (a) S

Hard

Experimental Mapping of Electric Field Lines in a Uniform Field

Design an experiment to map the electric field lines and equipotential regions between two large par

Hard

Force and Potential Energy in the Hydrogen Atom

For a hydrogen atom, consider the proton and electron separated by a distance of 0.5×10^-10 m. Using

Medium

Force Comparison in Hydrogen Atom

A researcher compares the electric and gravitational forces between the proton and electron in a hyd

Easy

Influence of Plate Area on Capacitor Capacitance

Design an experiment to determine how changing the area of the plates of a parallel-plate capacitor

Easy

Investigating the Role of Dielectric Materials in Capacitors

Design an experiment to measure how the capacitance of a parallel-plate capacitor changes with the i

Medium

Kinetic Energy Gain from Electric Potential Energy Loss

A negative charge of magnitude q = -1×10⁻⁸ C is released from rest at a distance of 10 cm from a fix

Medium

Millikan Oil Drop Experiment Analysis

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

Hard

Multiple Charge System: Net Force on a Central Charge

Consider three point charges aligned on a straight line. Let $$Q_1 = +5\;\mu C$$, $$Q_2 = -3\;\mu C$

Medium

Net Force on a Central Charge in a Square Configuration

Four equal positive point charges are placed at the vertices of a square with side length 10 cm, and

Easy

Potential Difference in a Non-Uniform Electric Field

Consider a region where the electric field varies with position according to $$E(x) = 5.0*10^{4} - 2

Extreme

Potential Energy Change in a Non-Uniform Field

A test charge moves in the electric field of a fixed point charge. Using the concept of electric pot

Medium

RC Discharge of a Capacitor

A capacitor charged to an initial potential of 100 V is connected in series with a resistor, forming

Medium

Series and Parallel Capacitor Network Analysis

A capacitor network is constructed by connecting capacitors in both series and parallel arrangements

Hard

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 Done in a Uniform Electric Field

Consider a uniform electric field of magnitude E = 500 N/C. A positive charge q = 0.02 C is moved pa

Easy

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

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 a Circuit with Multiple Loads

A circuit with multiple load components draws power from a battery. The following table presents mea

Medium

Assessing the Impact of Ammeter Internal Resistance

A student measures the current in a DC circuit by inserting an ammeter in series with a resistor and

Medium

Assessing the Validity of the Simple Circuit Model Under High Load Conditions

A report claims that even under high current loads, a simple circuit model (using an ideal battery a

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

Basic Circuit Analysis: Applying Ohm's Law

A battery providing $$9~V$$ is connected to a single resistor with a resistance of $$10~\Omega$$. An

Easy

Battery Internal Resistance Analysis

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

Easy

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

Circuit Analysis: Series and Parallel Resistors

In an experiment, a circuit is assembled using a battery with voltage $$V$$ and a network of resisto

Medium

Circuit Behavior with Variable Resistor Values

An experiment is performed where a resistor of varying value is connected to a battery, and the curr

Extreme

Circuit Diagram Analysis

Examine the following circuit diagram and answer the questions below. The diagram is meant to repres

Hard

Data Analysis of Electric Circuit Measurements

In a laboratory experiment, students measured the voltage drop across a resistor at various currents

Easy

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

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

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 the Impact of Incorrect Ammeter Placement on Circuit Readings

A circuit is designed with a 12 V battery and a resistor of 10 Ω. An ammeter with an internal resist

Medium

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 a Variable Resistor on Circuit Behavior

A variable resistor is used in a series circuit powered by a 15V battery.

Easy

Electromotive Force and Terminal Voltage under Load

This problem explores the relationship between a battery's true electromotive force (EMF), its inter

Hard

Equivalent Resistance in Complex Resistor Networks

A circuit consists of five resistors arranged as follows: Resistors $$R_1$$ and $$R_2$$ (each $$10\,

Hard

Evaluation of Charging Rates in Varied Capacitor Designs

Two different capacitor designs are tested in an RC circuit. Capacitor A has a plate area of $$0.01\

Medium

Experimental Circuit Measurements Analysis

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

Extreme

Experimental Verification of Ohm's Law in Domestic Appliances

A news report claims that voltage and current measurements taken from a household appliance support

Easy

Graph Analysis: Charging Behavior in an RC Circuit

A graph is provided showing the voltage across a capacitor as a function of time while it charges in

Medium

Investigating the Effect of Capacitor Dielectric Constant on Capacitance

In a laboratory experiment, capacitors are built using different dielectric materials. The capacitan

Medium

Investigation of Non-Ohmic Behavior

A filament lamp exhibits non-ohmic behavior. The following graph shows its voltage versus current re

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

Kirchhoff's Laws in Multi-Loop Circuits

In a multi-loop circuit, measurements of current at various junctions are taken. Use Kirchhoff’s law

Hard

Measuring Power Dissipation in Resistive Elements

Power dissipation in a resistor is an important factor for both performance and safety. Given the fo

Medium

Microcontroller-Based Circuit Measurement Setup

Design a circuit that integrates a microcontroller to continuously measure the current and voltage i

Extreme

Multi-Loop Circuit Analysis Using Kirchhoff’s Laws

A circuit consists of two loops sharing a common resistor. Loop 1 contains a battery of $$10 \text{

Hard

Ohm's Law and Circuit Analysis

A circuit consists of an ideal battery with an EMF of 12 V and a resistor of 6 Ω. First, assume the

Medium

Parallel Resistors and Junction Rule Application

A 12 V battery is connected to a network of three parallel resistors with values $$R_1 = 30\,Ω$$, $$

Easy

Power Dissipation in Circuit Components

A simple circuit consists of a resistor connected to a battery. Consider a scenario where a 9 V batt

Easy

Transient Analysis with a Pulse Input in an RC Circuit

An RC circuit is subjected to a pulse input voltage that is maintained at $$10 \text{ V}$$ from $$t

Extreme

Transient Behavior in RC Circuit: Initial vs Steady-State

An RC circuit is constructed with a $$12~V$$ battery, and two branches: one branch contains a $$6~\O

Medium
Unit 5: Magnetism and Electromagnetic Induction

AC Generator: Maximum Induced EMF Calculation

In a simple AC generator, a coil with 50 turns and an area of 0.2 m² rotates in a uniform magnetic f

Medium

Analysis of Magnetic Field vs. Distance for a Current-Carrying Wire

An experiment measures the magnetic field at various distances from a long, straight current-carryin

Hard

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

Charged Particle in a Non-Uniform Magnetic Field

A charged particle with charge $$q = 2 \times 10^{-6}$$ C moves along the x-axis at a constant speed

Hard

Comparative Analysis of Induced Currents

A physics laboratory is set up to compare three different methods of inducing a current in a wire lo

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

Critical Angle for Maximal Magnetic Force

A researcher investigates the dependence of the magnetic force on a charged particle with the equati

Hard

Designing a Magnetic Levitation Experiment

A researcher aims to levitate a small object using a combination of current-carrying coils and perma

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

Dynamic Analysis of Induced EMF in a Rotating Multi-turn Coil

A coil comprising $$N = 50$$ turns, each with an area of $$A = 0.02 \; m^2$$, rotates in a uniform m

Extreme

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 Field Strength on Induced Current

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

Hard

Energy Dissipation in Resistive Magnetic Systems

An experiment investigates energy dissipation in a circuit where an induced current flows through a

Extreme

Evaluating Magnetic Forces on a Current-Carrying Wire

An experiment investigates the net magnetic force on a U-shaped current-carrying wire immersed in a

Hard

Experimental Investigation of Lenz's Law

A researcher sets up an experiment where the area of a coil is rapidly decreased while the coil is p

Medium

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 and Rotating Loop

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

Hard

Force Cancellation in a U-Shaped Conductor

Design an experiment to investigate the conditions under which the net magnetic force on a U-shaped

Extreme

Force Comparison: Permanent vs. Electromagnets

In a laboratory experiment, the attractive force between a fixed magnet and a piece of iron is measu

Hard

Force on a Moving Charge in a Magnetic Field

A charged particle moves through a uniform magnetic field. Analyze the factors affecting the magnitu

Medium

Force on a Moving Charge in a Magnetic Field

A charged particle moves through a uniform magnetic field. Determine the magnetic force acting under

Easy

Impact of Magnetic Field Reversal on Induced EMF

Consider a single-turn loop in which the magnetic flux initially is $$\Phi_i = B*A$$. If the externa

Hard

Induced EMF in a Rectangular Loop Under Rotation

A rectangular loop of wire measuring 0.1 m by 0.2 m is placed in a uniform magnetic field of 0.5 T.

Medium

Investigating Motional EMF in a Moving Conductor

In an experiment, a conducting rod of length $$\ell = 0.5\;m$$ is moved at a constant velocity throu

Medium

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 on a U-Shaped Current-Carrying Wire

A U-shaped conducting wire of mass $$m$$ is partially immersed in a uniform magnetic field of magnit

Medium

Magnetic Force on Moving Charge Experiment

A group of students designs an experiment to measure the magnetic force on electrons that are emitte

Medium

Magnetic Materials and Field Distribution

A researcher compares soft iron and hard steel as core materials in electromagnets. The magnetic per

Medium

Mapping Magnetic Field Lines

A researcher is investigating the spatial distribution and behavior of magnetic fields around a perm

Easy

Mapping Magnetic Field Lines using Computer Simulation

Students use a computer simulation to model the magnetic field lines around a bar magnet and analyze

Extreme

Mapping Magnetic Field Lines using Iron Dust

In an experiment, a bar magnet is placed on a sheet and iron dust is sprinkled over it to visualize

Easy

Measurement of Induced Current in a Transformer Experiment

A group of students builds a simple transformer and measures the induced current in the secondary co

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

Motional EMF in a Conducting Rod

This FRQ focuses on the phenomenon of motional electromotive force (emf) generated in a moving rod w

Easy

Qualitative Analysis of Magnetic Field Lines Using Iron Dust Technique

A scientist uses finely milled iron dust to visualize the magnetic field lines around a permanent ba

Easy

Solenoid and Uniform Magnetic Field

Investigate the magnetic field inside a solenoid and the assumption of its uniformity.

Medium

Uniform Magnetic Field in a Solenoid Experiment

An experiment is conducted using a solenoid as an electromagnet, and it is claimed that the magnetic

Hard

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

Zero Net Force in U-Shaped Wire Experiment

In a controlled experiment, a U-shaped wire with three segments is partially immersed in a magnetic

Medium
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

Brewster's Angle and Reflective Polarization

At the interface of air and glass, light can become polarized upon reflection.

Medium

Concave Mirror Image Analysis

An object of height $$h_o = 4 \ cm$$ is placed at a distance of $$d_o = 30 \ cm$$ in front of a conc

Medium

Converging Lens Magnification Experiment

A student performs an experiment with a converging (bi-convex) lens. In this setup, an object is pla

Medium

Converging Lens Power Determination

A converging lens forms a real image that is twice the height of the object. When an object is place

Medium

Converging Lens Power Measurement: Magnification Error Analysis

A student uses a converging lens to form a real image of an object, records the object and image dis

Hard

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 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 white light. Consider the fi

Medium

Diffraction Limits in Optical Instruments

The resolving power of optical instruments is limited by diffraction. Answer the following:

Extreme

Diverging Lens Image Formation

A student investigates the behavior of a diverging (concave) lens. In the experiment, an object with

Hard

Double Slit Interference Experiment: Measuring Green Light Wavelength

Design an experiment using a double slit apparatus to measure the wavelength of green light. Your de

Medium

Effect of Medium on EM Wave Propagation: Frequency Invariance Error Analysis

A student investigates the propagation of electromagnetic waves through air with varying humidity le

Medium

Electromagnetic Wave Propagation Analysis

Electromagnetic waves consist of oscillating electric and magnetic fields and travel through a vacuu

Easy

Experimental Interference Pattern Analysis

This question requires you to analyze experimental data from an interference experiment and evaluate

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

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

Image Formation in Plane Mirrors

Consider a scenario where a person stands in front of a plane mirror at a distance $$d$$ from the mi

Easy

Image Formation in Plane Mirrors

A set of measurements has been taken using a plane mirror to form images. The data below compares ob

Easy

Image Formation with a Concave Mirror

A concave mirror has a focal length of 10 cm. An object 5 cm tall is placed 20 cm in front of it. Us

Medium

Interference from Coherent Light Sources

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

Medium

Interference in Young's Double Slit Experiment

A student investigates interference patterns using a double-slit setup in a controlled laboratory ex

Medium

Investigating the Law of Reflection with a Plane Mirror

Develop an experiment to verify the law of reflection using a plane mirror. Your design should inclu

Easy

Lens Power Determination Based on Image Size

This question requires you to determine the power of a converging lens based on the magnification ob

Medium

Optical Fibers and Total Internal Reflection

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

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

Optical Sensors in Environmental Monitoring

Environmental scientists are developing optical sensors to monitor particulate matter in water. The

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

Radio Wave Wavelength Determination

A radio transmitter emits electromagnetic waves with a frequency of $$f = 100*10^{6} \ Hz$$.

Easy

Ray Tracing for Converging Lenses and Mirrors

This question involves constructing ray diagrams for optical instruments. (a) Draw and label a ray

Extreme

Scattering of Light: Rayleigh Scattering

A graph from an experiment shows how the intensity of scattered light varies with wavelength due to

Medium

Single Slit Diffraction Analysis

A single slit diffraction experiment is performed with a slit width of $$a = 0.1 * 10^{-3}$$ m, a sc

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

Spherical Mirrors - Convex Mirror Analysis

An object of height 5 cm is placed 20 cm in front of a convex mirror with a focal length of -15 cm.

Medium

Spherical Mirrors: Concave Mirror Analysis

An object of height 4 cm is placed 30 cm in front of a concave mirror with a focal length of 10 cm.

Medium

Young's Double Slit Experiment Analysis

A coherent monochromatic light source with wavelength $$λ = 589*10^{-9} \ m$$ illuminates a barrier

Medium

Young's Double Slit Experiment Analysis

In Young's double slit experiment, coherent light passing through two closely spaced slits produces

Medium

Young’s Double Slit Experiment Analysis

A double slit experiment is set up with two narrow slits separated by $$d = 1.5 * 10^{-3}$$ m, a scr

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.