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 (54)
  • Unit 2: Thermodynamics (37)
  • Unit 3: Electric Force, Field, and Potential (39)
  • Unit 4: Electric Circuits (49)
  • Unit 5: Magnetism and Electromagnetic Induction (33)
  • Unit 6: Geometric and Physical Optics (37)
  • Unit 7: Quantum, Atomic, and Nuclear Physics (1)
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

Air Velocity Measurement with a Pitot Tube

A Pitot tube is used in a wind tunnel to measure the airspeed. The device records a pressure differe

Medium

Airflow and Aerodynamic Lift

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

Medium

Airfoil Pressure Distribution Study

A series of experiments was conducted in a wind tunnel to measure the pressure distribution along a

Hard

Analyzing Submerged Structures in Fluids

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

Medium

Application of Bernoulli's Equation

In a horizontal pipe, a pump forces water (density $$1000\;kg/m^3$$) from point 1 into a constricted

Hard

Applying Fluid Dynamics to Biological Systems: Blood Flow in Arteries

In a simplified model of an artery, a healthy section has a cross-sectional area of $$1.0\times10^{-

Hard

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 Principle in a Narrowing Horizontal Pipe

Design an experiment to measure the variation in fluid pressure and velocity along a horizontal pipe

Hard

Calculating Buoyant Force

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

Easy

Column Pressure Experiment

A researcher investigates the pressure exerted on the ground by a vertical concrete column. The colu

Medium

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 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 in Pipe Flow

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

Medium

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

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

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

Discrepancies in Pipe Flow Measurements

In an experiment to measure water velocity in a pipe, the predicted velocity in a constricted (narro

Medium

Effect of Altitude on Atmospheric Pressure and Buoyancy

An experiment is conducted to measure the effects of altitude on atmospheric pressure. At sea level,

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 Temperature Effects on Density and Pressure

A fluid contained in a sealed vessel is heated from $$20^\circ C$$ to $$80^\circ C$$. At $$20^\circ

Medium

Experimental Analysis of Lift Generation

In wind tunnel experiments, an airfoil is tested under varying flow speeds. A table gives measured d

Hard

Flow Rate in a Non-uniform Pipe

A researcher examines fluid flow through a non-uniform circular pipe where the fluid is assumed to b

Medium

Flow Regimes: Laminar vs. Turbulent Flow and Continuity Equation

In a fluid dynamics experiment, students observe a smooth transition from laminar to turbulent flow

Extreme

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 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 Pressure in a Rotating System

In a rotating cylindrical container, a fluid forms a parabolic free surface due to the centrifugal e

Hard

Gauge and Absolute Pressure Measurements

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

Medium

Graphical Analysis of Flow Continuity

This problem uses a provided graph to analyze the relationship between flow speed and pipe cross-sec

Medium

Graphical Analysis of Flow Speed Variation

A researcher has collected experimental data on the relationship between a pipe's cross-sectional ar

Medium

Hydraulic Press and Force Amplification

A hydraulic press consists of two pistons connected by an incompressible fluid. The larger piston ha

Easy

Hydrostatic Pressure Miscalculation Experiment

A student sets up an experiment to measure the pressure at the bottom of a water tank. The student f

Easy

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

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 Pressure Differences in Fluid Circuits

A U-shaped tube contains a fluid with a density of 1200 kg/m³. A small height difference between the

Easy

Mapping Fluid Pressure Distribution Using Sensors

Design an experiment to map the pressure distribution within a fluid container by using multiple pre

Medium

Measurement Uncertainty in Fluid Density

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

Medium

Measuring Flow Rate in Open Channels via Floating Objects

Design an experiment to measure the flow rate of a liquid in an open channel using the float method.

Medium

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

Optimization of Fluid Flow in Industrial Piping Systems

An industrial piping system includes a segment where the pipe narrows from a diameter of 0.3 m to a

Extreme

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

Pipe Flow Continuity

An experiment examines fluid flow through a pipe with a constricted section. The following table sho

Easy

Pressure and Buoyancy in Submerged Particles

Consider two small particles submerged in the same fluid. Particle A has a density slightly greater

Medium

Pressure Distribution in a Fluid at Rest

Consider a tank filled with a liquid of density $$\rho$$. The pressure at a given depth is described

Medium

Pressure Measurement in a Fluid Column with Temperature Gradient

A student conducts an experiment to measure the pressure at various depths in a tall column of oil.

Medium

Pressure on Submerged Structures: Dam Windows

A dam features rectangular windows through which engineers measure the pressure exerted by the water

Hard

Pump System Analysis for Fluid Delivery

A researcher is designing a pump system to deliver water through a network of pipes with varying dia

Extreme

Pump Work Analysis in a Closed Fluid Circuit

In a closed fluid circuit, a pump is used to circulate water so that it maintains a constant flow ra

Extreme

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

Static vs Dynamic Pressure in Pipe

An experiment was conducted to measure the pressure components in a streamlined flow within a horizo

Extreme

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
Unit 2: Thermodynamics

Analysis of Thermodynamic Processes on a P–V Diagram

A researcher examines four thermodynamic processes (isothermal, adiabatic, isobaric, and isochoric)

Medium

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

Comparing Real and Ideal Gas Behavior

Discuss the limitations of the Ideal Gas Law and explain the necessary corrections for real gases us

Hard

Cyclic Heat Engine Efficiency and Work

A cyclic heat engine operates on a simplified cycle consisting of four segments: 1. Isothermal expa

Extreme

Designing a Heat Engine for Maximum Efficiency

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

Easy

Designing an Experiment on Gas Pressure and Temperature

Design an experiment to verify the Ideal Gas Law using a sealed syringe. The aim is to observe the r

Medium

Designing an Experiment to Measure Thermal Conductivity

Outline an experimental design to measure the thermal conductivity (k) of an unknown material using

Medium

Effect of Molar Mass on Gas Velocity

The relation $$v_{rms} = \sqrt{\frac{3 * k_{B} * T}{m}}$$ indicates that the molar mass of gas molec

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

Effect of Temperature on rms Velocity

An experiment is conducted to investigate how changes in temperature affect the root mean square (rm

Easy

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

Entropy and the Second Law

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

Medium

Entropy Change and the Second Law of Thermodynamics

During a reversible isothermal expansion of an ideal gas, the entropy change is described by the equ

Medium

Entropy Change in a Thermodynamic Cycle

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

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

Exploring Adiabatic Cooling and Heating in Atmospheric Processes

Adiabatic processes are crucial for understanding weather phenomena. When air parcels rise, they exp

Medium

First Law of Thermodynamics in a Closed System

Consider a closed system in which energy changes occur solely through heat transfer and work. The fi

Easy

First Law of Thermodynamics in a Closed System

An experiment on a closed system records the changes in internal energy, heat added, and work done o

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

Heat Engine Efficiency and Work Output

A heat engine undergoes a cyclic process where it absorbs 800 J of heat from a high-temperature sour

Medium

Heat Engine Efficiency Experiment Error

In an experiment designed to measure the efficiency of a heat engine, a student records the amount o

Hard

Heat Engines: Efficiency and Work Calculations

A heat engine operates in a cycle, drawing 800 J of heat from a high-temperature source and rejectin

Easy

Heat Transfer by Radiation

Unlike conduction and convection, heat transfer by radiation involves electromagnetic waves. (a) Wri

Easy

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

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 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 Process and Work Calculation

For an ideal gas undergoing an isothermal process (constant temperature), the work done is given by

Hard

Kinetic Energy and Molecular Speeds

The average kinetic energy of gas molecules is given by $$K_{avg} = \frac{3}{2} k_B T$$. (a) Derive

Easy

Kinetic Energy and Temperature Relationship

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

Medium

Real vs. Ideal Gas Behavior

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

Extreme

Refrigerator Cycle and Coefficient of Performance

A refrigerator operates on a reversed Carnot cycle. (a) Draw a schematic diagram (P–V or T–S) of th

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

Temperature Change and Molecular Speed Distribution

The root mean square speed of gas molecules is given by $$v_{rms} = \sqrt{\frac{3 * k_{B} * T}{m}}$$

Easy

Thermal Equilibrium and the Zeroth Law

In an experiment, two objects (A and C) both have temperatures measured at $$300\;K$$. A third objec

Easy

Thermodynamic Processes and Energy Changes

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

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 in Thermodynamic Processes

A gas undergoes two different expansion processes between the same initial and final states as descr

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

Analysis of Electric Dipole Field Measurements

An experimental setup measures the electric field magnitude at various distances along the perpendic

Medium

Analyzing Electric Field Variation Above a Charged Plate

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

Easy

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

Balancing Forces in a Uniform Electric Field

An object of mass $$5.0 \; g$$ (0.005 kg) is placed 2.0 cm above a large, positively charged horizon

Easy

Balancing Gravitational and Electric Forces

A small object of mass 5 g is placed at a distance of 2 cm above a large positively charged plate, w

Easy

Capacitance Measurement via Frequency-Dependent Response

A student performs an experiment to determine the capacitance of a capacitor by analyzing its respon

Hard

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

Capacitor Voltage and Plate Area Calculation

A parallel-plate capacitor holds a charge of $$50\;\mu C$$ on each plate and has a capacitance of $$

Medium

Capacitor: Potential Difference and Energy Storage

In this problem you will analyze a parallel-plate capacitor by calculating its potential difference

Medium

Charge Transfer and Work Calculation

Consider a system where two fixed charges create an electric potential difference between two points

Easy

Charging Methods Comparison

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

Easy

Comparative Analysis of Charging Methods

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

Easy

Determining Coulomb's Constant Experiment

A series of measurements is conducted to determine Coulomb’s constant $$k$$ by measuring the force b

Hard

Dielectric Effects on Capacitance Experiment

In a parallel-plate capacitor experiment, the capacitance is measured with and without the insertion

Medium

Dielectric Effects on Capacitor Energy

A researcher is studying how the introduction of a dielectric affects the energy stored in a paralle

Medium

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 Analysis in a Uniform Medium

An electric dipole is formed by two point charges, +4.0 nC and -4.0 nC, separated by 6.0 cm in air.

Medium

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 Lines at Media Boundaries

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

Hard

Electric Field Mapping Experiment

A researcher employs a scanning probe to measure the local electric field near a large, charged plat

Medium

Electric Potential Dependence Experiment

An experiment is conducted to measure the electric potential at various distances from a fixed point

Medium

Electric Potential Variation in a Conical Capacitor

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

Hard

Inductive Charging Experiment of Spheres

In an experiment, two identical initially neutral conducting spheres are placed on an insulating sta

Hard

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

Linear Variation of Electric Potential near a Charged Sheet

An experiment measured the electric potential at several distances from an infinite charged sheet. A

Medium

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 Analysis

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

Hard

Potential Difference in a Parallel-Plate Capacitor

A parallel-plate capacitor has plates of area A = 0.05 m² separated by a distance d = 0.001 m and is

Easy

RC Circuit: Charging a Capacitor

A capacitor with a capacitance of $$100\,\mu F$$ is connected in series with a resistor of $$10\,k\O

Medium

Square Charge Configuration

A researcher sets up a square configuration in vacuum with four point charges placed at the corners

Medium

Studying Charge Redistribution through Induction

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

Medium

Superposition in Electric Field Measurement – Data Analysis

In an experiment, a pair of point charges (one positive and one negative, each of magnitude 1.0 × 10

Medium

Superposition of Electric Fields Experiment

Four identical positively charged spheres are fixed at the vertices of a square, and a negatively ch

Medium

Superposition of Forces in a Square Configuration

Four equal positive point charges are placed at the vertices of a square. A negative charge is place

Medium

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 Coulomb’s Law through Force Measurements

An experiment was conducted to verify Coulomb’s Law by measuring the electric force between two char

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
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 Kirchhoff’s Loop and Junction Laws

Consider a circuit with two loops and three resistors arranged as follows: A 12 V battery is connect

Hard

Analyzing Ammeter and Voltmeter Measurements

A circuit is constructed with a battery and a resistor. An ammeter and a voltmeter are connected to

Medium

Application of Kirchhoff’s Junction and Loop Rules

Consider a circuit where three branches intersect at a junction. Two branches carry currents $$I_1$$

Easy

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

Battery and Capacitor in Renewable Energy Applications

In a simplified model of a solar panel energy storage system, a battery with an ideal EMF of 18 V an

Medium

Battery Discharge Rate through a Capacitor-Resistor Network

A student investigates the discharge curve of a capacitor in an RC circuit by recording the voltage

Hard

Battery Internal Resistance Analysis

A battery can be modeled as an ideal EMF in series with an internal resistance r. The following tabl

Hard

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 and Terminal Voltage

A battery can be modeled as an ideal EMF in series with an internal resistance. Consider a battery w

Medium

Capacitor Combinations and Equivalent Capacitance

A circuit contains three capacitors with the following capacitances: 4 μF, 6 μF, and 12 μF. In the c

Medium

Capacitor Modification in an RC Circuit

A capacitor in an RC circuit is initially charged to a voltage $$V_0$$, storing a charge $$Q = C_0 *

Hard

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

Comparative Analysis of Capacitor Charging Profiles

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

Extreme

Current Flow Analysis in a Simple Battery Circuit

A researcher claims that a circuit composed of a 12 V battery and various resistors produces a conti

Easy

Design and Analysis of a Flash Circuit for a Camera

A camera flash circuit uses a capacitor with capacitance $$C = 100\,\mu F$$, charged by a 300 V batt

Hard

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

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 Adding a Parallel Resistor in a Series Circuit

Consider a circuit consisting of a 9 V battery connected in series with a 12 Ω resistor. A 24 Ω resi

Easy

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

Effect of Wire Cross-Sectional Area on Resistance

Resistance in a wire is given by the formula $$R = \rho \frac{l}{A}$$, where A is the cross-sectiona

Medium

Electromotive Force and Terminal Voltage under Load

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

Hard

Equivalent Capacitance for Series and Parallel Configurations

Two capacitors, one of $$4 \text{ F}$$ and the other of $$6 \text{ F}$$, are arranged in different c

Medium

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

Evaluation of Circuit Performance with a Faulty Capacitor (Capacitor Failure Analysis)

A capacitor in an RC circuit, which is expected to be 47 μF, is suspected of being faulty due to lea

Hard

Experimental Verification of Ohm’s Law

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

Easy

Exploring Material Conductivity Through Resistivity

A study compares the electrical conductivity of three metals. The table below lists their resistivit

Easy

Impact of Temperature on Resistor Performance

A researcher investigates how the resistance of a metallic resistor changes as the temperature is in

Medium

Investigating Battery Internal Resistance using a Series Circuit

A student designs an experiment to measure the internal resistance (r) of a battery. The setup consi

Medium

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

Investigating Short-Circuit Effects in a Capacitor-Resistor Circuit

Short-circuiting a charged capacitor can lead to extremely high transient currents. Answer the follo

Extreme

Investigation of Capacitor-Battery Interaction under Variable Conditions

In an experiment, a capacitor is charged under two conditions: with the battery connected and with t

Medium

Investigation of Heat Production in Resistive Circuits

Resistors dissipate electrical energy as heat. Answer the following:

Medium

Investigative Lab on Short-Circuiting Capacitors and Resistors

A misconfigured circuit experiment resulted in a capacitor being inadvertently short-circuited by co

Medium

Kirchhoff's Circuit Analysis

A circuit consists of two loops sharing a common resistor. In Loop 1, a 9 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

Kirchhoff’s Laws: Loop and Junction Analysis

An experiment was conducted on a multi-loop circuit to test Kirchhoff's loop and junction rules. The

Medium

Measuring Power Dissipation in Resistive Elements

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

Medium

Mixed Circuit Analysis: Combining Resistors and a Capacitor

A circuit contains an EMF source with an internal resistance of 1 Ω, a 10 Ω resistor in series, and

Extreme

Quantitative Analysis of Voltage Drops in a Multi-Loop Circuit

A complex circuit is built with two loops sharing a common resistor. The circuit includes two 12 V b

Extreme

Resistor Network Analysis

A circuit consists of three resistors. Resistor $$R_1$$ has a resistance of $$100\,\Omega$$ and is c

Medium

Role of Resistivity in Material Conduction

The resistance of a wire is given by the equation $$R = \rho \frac{l}{A}$$. A table below provides p

Medium

Series vs. Parallel Resistor Behavior

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

Medium

Studying the Transient Response in an RC Circuit with a Variable Resistor

A student investigates the charging process of a capacitor in an RC circuit by connecting a 12 V bat

Extreme

Switching Dynamics in Direct Current Circuits

Direct current circuits often include switches that change the circuit configuration. Consider a cir

Hard

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

Transient Analysis in an RC Circuit

A circuit with a resistor of $$200\,\Omega$$ and a capacitor of $$50\,\mu F$$ is connected to a $$12

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

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

Application of the Right-Hand Rule in 3D

The direction of the magnetic force on a moving charge is determined using the right-hand rule. Answ

Easy

Balancing Forces on a Current-Carrying U-Shaped Wire

In a laboratory experiment, a U-shaped wire is immersed in a region with a uniform magnetic field th

Medium

Current-Carrying Wire in Variable Magnetic Field

A researcher studies a straight wire of length $$\ell$$ carrying a current $$I$$, placed in a magnet

Extreme

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

Effect of Magnetic Field Strength on Induced Current

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

Hard

Electromagnetic Induction in a Rotating Loop

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

Hard

Experimental Design for Faraday's Law Validation

You are tasked with designing an experiment to validate Faraday's law of electromagnetic induction.

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

Faraday’s Law and the Rotating Loop

A circular loop of radius 0.05 m rotates in a uniform magnetic field of 0.3 T. The loop rotates with

Hard

Force on a Current-Carrying Wire

Consider a U-shaped wire placed in a uniform magnetic field that is directed out of the page. A curr

Medium

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

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 Field Mapping with Iron Filings

A permanent magnet’s surrounding region is investigated using iron filings. Explain how iron filings

Easy

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 Force on a Current-Carrying Wire in a U-Shaped Conductor

This FRQ examines the application of the magnetic force formula on current-carrying conductors and e

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 Levitation System Design

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

Extreme

Magnetic Materials and Field Distribution

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

Medium

Mapping Magnetic Fields around a Bar Magnet

A researcher is studying the magnetic field of a standard bar magnet in a controlled laboratory sett

Easy

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

Measurement of Magnetic Field Gradient near an Electromagnet

A research team uses a magnetic field probe to measure the gradient of the magnetic field in the vic

Medium

Motional EMF and Energy Conversion Analysis

A conducting rod of length $$l = 0.8 \; m$$ moves to the right at a constant speed of $$v = 4 \; m/s

Hard

Motional EMF in a Sliding Rod Experiment

In this experiment, a conducting rod is made to slide along parallel rails within a uniform magnetic

Hard

Right-Hand Rule Applications in Magnetic Force Directions

Using the right-hand rule, determine the direction of the force on charged particles moving in a mag

Medium

Testing the Right-Hand Rule for Magnetic Force Directions

An experiment is performed where charged particles are propelled in known directions through a unifo

Medium

Theoretical Exploration of Hypothetical Magnetic Monopoles

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

Extreme

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

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

Brewster's Angle and Reflective Polarization

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

Medium

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

Coherence in Interference Patterns

A student compares the interference patterns produced by a coherent laser light source and an incohe

Medium

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

Comparative Analysis of Double-Slit and Single-Slit Diffraction Patterns

Both double-slit interference and single-slit diffraction produce characteristic patterns on a scree

Hard

Concave Mirror Image Characteristics

Concave mirrors can produce images that are real or virtual depending on the object position. Analyz

Medium

Converging Lens Ray Tracing

A converging lens has a focal length of $$15\,cm$$. An object is placed $$20\,cm$$ from the lens. An

Easy

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

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

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 Spectrum and Frequency

Green light has a wavelength of 550 nm. Answer the following: (a) Calculate its frequency using $$v

Medium

Electromagnetic Wave Propagation in a Vacuum

Maxwell's equations imply that electromagnetic waves propagate in a vacuum at a constant speed $$c$$

Hard

Experimental Verification of Snell's Law via Measured Data

This question involves analyzing experimental data of incident and refracted angles to verify Snell'

Hard

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 from Multiple Sources

Three coherent light sources, each emitting light of wavelength $$\lambda = 650 * 10^{-9}$$ m, are a

Hard

Interference Patterns in Thin Films

A thin oil film (with refractive index n = 1.3) lies on water (n = 1.33) and is illuminated with whi

Hard

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

Light Refraction through Multiple Media Interfaces

Light may pass through several media in succession, undergoing refraction at each interface. Analyze

Hard

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

Optical Data Analysis from Spherical Mirror Measurements

An experiment is conducted where an object is placed at various distances from a concave mirror, and

Medium

Polarization and Electromagnetic Wave Behavior

In an experiment testing polarization, a polarizer is rotated and the transmitted light intensity is

Medium

Polarization and Intensity of EM Waves

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

Medium

Polarization and Light Intensity Experiment

A student in an optics lab investigates the effect of polarization on light transmission. The experi

Hard

Polarization and Wave Interference

Light that is initially unpolarized is passed through a series of polarizing filters. Answer the fol

Easy

Ray Tracing Verification for Spherical Mirrors

Design an experiment to verify the mirror equation using ray tracing with a concave spherical mirror

Hard

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

Reflection and Refraction: Measuring Indices of Refraction

An experiment is conducted where a light ray passes from air into an unknown medium, and the followi

Medium

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 of width $$a = 0.1\,mm$$ is illuminated by monochromatic light with a wavelength of $$

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

Thin Diverging Lens Imaging

A diverging lens with a focal length of -15 cm is used to form an image of an object 9 cm tall place

Medium

Thin Lens and Magnification Analysis

An object of height $$h_o = 6 \ cm$$ is placed at a distance of $$d_o = 20 \ cm$$ in front of a conv

Medium

Total Internal Reflection Analysis

A light beam travels in water (index of refraction $$n=1.33$$) and approaches the water-air boundary

Easy

Total Internal Reflection and Critical Angle Calculation

Total internal reflection occurs when light travels from a medium with a higher index of refraction

Easy

Total Internal Reflection in Optical Fibers

A set of experiments investigates the conditions under which total internal reflection (TIR) occurs

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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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.