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AP Physics 2 Hard practice

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Hard practice

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Question 1

In the Compton effect, an X-ray photon of wavelength $λ_{0}$ scatters off a free electron and the scattered photon has a longer wavelength $λ^{'}$ . The Compton shift $Δ λ = λ^{'} - λ_{0}$ depends on:

A.The initial wavelength

λ_{0}

of the photon onlyB.The scattering angle

θ

only (and fundamental constants)C.Both the initial wavelength and the scattering angleD.The mass of the photon and the electron mass

Question 2

A fully charged capacitor ( $C = 100 μ F$ , $V_{0} = 10 V$ ) is connected in series with a resistor $R = 2 k Ω$ with no battery. After the switch is closed, what is the current through the resistor at $t = 0$ (immediately after closing)?

I_{0} = 0

I_{0} = 5 mA

I_{0} = 50 mA

I_{0} = 1 A

Question 3

A square loop of side $s = 0.2 m$ and resistance $R = 4 Ω$ is in a magnetic field that is increasing at $d B / d t = 50 T/s$ perpendicular to the loop. What is the power dissipated in the loop?

P = 0.25 W

P = 1.0 W

P = 16 W

P = 0.5 W

Question 4

Two capacitors, $C_{1} = 4 μ F$ and $C_{2} = 12 μ F$ , are connected in series across a $24 V$ battery. What is the charge on $C_{1}$ ?

Q_{1} = 96 μ C

Q_{1} = 288 μ C

Q_{1} = 72 μ C

Q_{1} = 18 μ C

Question 5

A parallel-plate capacitor with plate separation $d$ is connected to a battery maintaining voltage $V_{0}$ . A conducting slab of thickness $d /2$ is inserted between the plates (not touching either plate). How does the capacitance change?

A.The capacitance is unchanged.B.The capacitance doubles.C.The capacitance is halved.D.The capacitance increases by a factor of 4.

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Question 6

Three resistors are connected between nodes A, B, and C: $R_{A B} = 3 Ω$ (directly between A and B), $R_{B C} = 3 Ω$ (between B and C), and $R_{A C} = 6 Ω$ (between A and C). A $12 V$ battery is connected between A and B. What is the total current delivered by the battery?

I = 4 A

I = 5.33 A

I = 1 A

I = 2.67 A

Question 7

In single-slit diffraction, the first minimum occurs at angle $θ$ given by $a sin θ = λ$ , where $a$ is the slit width. If the slit width is doubled while keeping the wavelength constant, the central diffraction maximum becomes:

A.Twice as wide and half as brightB.Half as wide and more brightC.The same width but twice as brightD.Half as wide and half as bright

Question 8

An electron enters a region with both a uniform electric field $E = 1000 V/m$ pointing upward and a uniform magnetic field $B = 0.02 T$ pointing out of the page. The electron moves horizontally to the right without deflection. What must be the speed of the electron?

v = 5 \times 1 0^{4} m/s

v = 2 \times 1 0^{- 5} m/s

v = 5 \times 1 0^{4} m/s

in a specific direction onlyD.

v = 2 \times 1 0^{7} m/s

Question 9

A thin film of soap ( $n = 1.35$ ) in air has a thickness $t = 350 nm$ . For what wavelength of visible light (in air) does the film appear brightest (constructive interference in reflection)?

λ = 945 nm

(infrared — not visible)B.

λ = 630 nm

(orange-red)C.

λ = 472.5 nm

(blue-violet)D.

λ = 315 nm

(ultraviolet — not visible)

Question 10

An electron is fired horizontally into a uniform electric field directed vertically downward with magnitude $E = 500 N/C$ . The electron has initial speed $v_{0} = 2.0 \times 1 0^{6} m/s$ . What is the magnitude of the electron's acceleration? ( $m_{e} = 9.11 \times 1 0^{- 31} kg$ , $e = 1.6 \times 1 0^{- 19} C$ )

a \approx 8.8 \times 1 0^{13} m/ s^{2}

a \approx 4.4 \times 1 0^{13} m/ s^{2}

a \approx 8.8 \times 1 0^{10} m/ s^{2}

a \approx 5.5 \times 1 0^{14} m/ s^{2}

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Question 11

An ideal gas undergoes the following four-step cycle: (1) isobaric expansion at $P_{H}$ , (2) isochoric pressure drop to $P_{L}$ , (3) isobaric compression at $P_{L}$ , (4) isochoric pressure rise back to $P_{H}$ . If the volume changes from $V_{1}$ to $V_{2} > V_{1}$ , what is the net work done by the gas per cycle?

W_{net} = P_{H} V_{2} - P_{L} V_{1}

W_{net} = (P_{H} - P_{L}) (V_{1} + V_{2})

W_{net} = (P_{H} - P_{L}) (V_{2} - V_{1})

W_{net} = P_{H} (V_{2} - V_{1}) - P_{L} (V_{2} - V_{1}) /2

Question 12

An RC circuit has a capacitor $C = 200 μ F$ in series with a resistor $R = 5 k Ω$ and a $12 V$ battery. The capacitor is initially uncharged. Approximately how long after the switch is closed does the voltage across the capacitor reach $7.6 V$ ? (Use $e \approx 2.718$ , so $1 - e^{- 1} \approx 0.632$ .)

t \approx 0.5 s

t \approx 1.0 s

t \approx 2.0 s

t \approx 0.1 s

Question 13

A conducting rod of length $L = 0.5 m$ slides along frictionless rails at constant velocity $v = 4 m/s$ in a uniform magnetic field $B = 0.3 T$ perpendicular to the plane of the rails. The resistance of the circuit is $R = 0.6 Ω$ . What external force is needed to maintain constant velocity?

F = 0.15 N

F = 0

F = 0.6 N

F = 0.30 N

Question 14

A fish is $1.0 m$ below the surface of water ( $n_{w} = 1.33$ ). A person looks straight down at the fish from air ( $n_{air} = 1.0$ ). Due to refraction, the fish appears to be at what depth below the surface?

d_{apparent} \approx 0.75 m

d_{apparent} \approx 1.33 m

d_{apparent} = 1.0 m

(no distortion)D.

d_{apparent} \approx 0.50 m

Question 15

A nuclear reaction fuses two deuterium nuclei to produce helium-3 and a neutron:
$_{1}^{2} H +_{1}^{2} H \to_{2}^{3} He +_{0}^{1} n$
Given that the mass defect is $Δ m = 3.3 \times 1 0^{- 30} kg$ , how much energy is released? ( $c = 3 \times 1 0^{8} m/s$ )

E \approx 2.97 \times 1 0^{- 13} J

E \approx 9.9 \times 1 0^{- 22} J

E \approx 3.0 \times 1 0^{- 13} J

E \approx 9.9 \times 1 0^{- 13} J

AP Physics 2 Hard practice — Free with Answer Explanations | Test Practice Hub