Practice Post UTME COAL CITY UNIVERSITY physics 2023 Past Questions

Question 1

A 2.5 m long wire has a resis\tance of 3.2 Ω. If a potential difference of 12 V is applied across it, what is the current flowing through it?

A. 2.5 A

B. 3.2 A

Correct C. 4.8 A

D. 6.4 A

Correct Answer: C

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Question 2

A particle is projected from the origin with an initial velocity of 20 m/s at an angle of 60° to the horizontal. What is the time of flight?

A. 1.5 s

Correct B. 2.0 s

C. 2.5 s

D. 3.0 s

Correct Answer: B

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Question 3

A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in series. If a potential difference of 12 V is applied across the circuit, what is the current flowing through the 10 Ω resistor?

Correct A. 0.8 A

B. 1.2 A

C. 1.6 A

D. 2.0 A

Correct Answer: A

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Question 4

A 5 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is the maximum speed of the block?

A. 2.0 m/s

B. 3.0 m/s

Correct C. 4.0 m/s

D. 5.0 m/s

Correct Answer: C

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Question 5

A 10 μF capacitor is connected in series with a 20 Ω resistor. If a potential difference of 12 V is applied across the circuit, what is the current flowing through the resistor?

A. 0.6 A

Correct B. 0.8 A

C. 1.0 A

D. 1.2 A

Correct Answer: B

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Question 6

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 2.5 x 10^-10 F, what is the charge on the plates when the potential difference is 10 V?

A. 1.25 x 10^-9 C

Correct B. 2.5 x 10^-9 C

C. 5 x 10^-9 C

D. 7.5 x 10^-9 C

Correct Answer: B

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Question 7

A sound wave with frequency 200 Hz and amplitude 0.05 m is traveling through a medium with speed 340 m/s. What is the intensity of the sound wave?

A. 1.4 x 10^-3 W/m^2

B. 2.8 x 10^-3 W/m^2

Correct C. 4.2 x 10^-3 W/m^2

D. 5.6 x 10^-3 W/m^2

Correct Answer: C

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Question 8

A circuit consists of a 12 V battery, a 4 ohm resistor, and a 6 ohm resistor connected in series. What is the current in the circuit?

A. 0.5 A

Correct B. 1 A

C. 1.5 A

D. 2 A

Correct Answer: B

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Question 9

A beam of light passes through a prism and is re\fracted at an angle of 30 degrees. If the angle of incidence is 20 degrees, what is the angle of re\fraction?

A. 10^\circ

B. 20^\circ

Correct C. 30^\circ

D. 40^\circ

Correct Answer: C

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Question 10

A quantum particle has a wave function given by \psi(x) = Ae^{-ikx}. If the particle is observed at x = 0, what is the probability of finding the particle at that point?

A. 0

B. 1

Correct C. A^2

D. e^{-ikx}

Correct Answer: C

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Question 11

A radioactive sample emits β and γ particles in a 3:1 ratio. If the half-life of the sample is 5 days, and it decays to 1/8 of its original amount in 15 days, what is the decay cons\tant?

A. 0.05 day⁻¹ⁱ

Correct B. 0.15 day⁻¹ⁱ

C. 0.25 day⁻¹ⁱ

D. 0.35 day⁻¹ⁱ

Correct Answer: B

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Question 12

A 20 ΩF capacitor is connected in series with a 30 ΩF capacitor and a 60 Hz AC source. If the voltage across the 20 ΩF capacitor is 120 V, what is the current through the circuit?

A. 0.5 A

Correct B. 1.0 A

C. 1.5 A

D. 2.0 A

Correct Answer: B

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Question 13

A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. If the particle is subject to a centripetal force of 10 N, what is the angular velocity of the particle?

A. 1.33 rad/s

Correct B. 2.00 rad/s

C. 2.67 rad/s

D. 3.33 rad/s

Correct Answer: B

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Question 14

A photon of energy 2 eV is incident on a metal surface with a work function of 1.5 eV. If the photon is absorbed by the metal, what is the maximum kinetic energy of the electron?

A. 0.5 eV

Correct B. 1.0 eV

C. 1.5 eV

D. 2.0 eV

Correct Answer: B

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Question 15

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the projectile lands 10 m away from the launch point, what is the time of flight?

A. 1.0 s

B. 1.5 s

Correct C. 2.0 s

D. 2.5 s

Correct Answer: C

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Question 16

A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal force of 10 N, what is the magnitude of the acceleration of the particle?

A. 5 m/s^2

Correct B. 10 m/s^2

C. 20 m/s^2

D. 25 m/s^2

Correct Answer: B

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Question 17

A block of mass 2 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 0.5 m/s

B. 1 m/s

Correct C. 2 m/s

D. 4 m/s

Correct Answer: C

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Question 18

A \tank is filled with water to a height of 5 m. If a hole of area 0.01 m^2 is drilled at the bottom of the \tank, what is the rate of change of the water level with respect to time?

A. 0.01 m/s

B. 0.02 m/s

Correct C. 0.05 m/s

D. 0.1 m/s

Correct Answer: C

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Question 19

A heat engine operates between two reservoirs at temperatures 300 K and 400 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, what is the efficiency of the engine?

A. 0.2

Correct B. 0.3

C. 0.4

D. 0.5

Correct Answer: B

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Question 20

A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If the particle is subjected to a force of 10 N, what is the acceleration of the particle?

A. 1 m/s^2

B. 2 m/s^2

C. 5 m/s^2

Correct D. 10 m/s^2

Correct Answer: D

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Question 21

A particle of mass $m$ is moving in a circular orbit of radius $R$ with a speed $v$. If the particle is subjected to a uniform magnetic field of strength $B$, what is the magnitude of the magnetic force acting on the particle?

Correct A. $\frac{mv^2}{R}$

B. $\frac{mv}{R}$

C. $\frac{m^2v^2}{R^2}$

D. $\frac{mv^2}{R^2}$

Correct Answer: A

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Question 22

A wave of wavelength $\lambda$ and frequency $f$ is traveling through a medium with a speed $v$. If the wave is reflected from a fixed \end, what is the magnitude of the resulting s\tanding wave?

Correct A. $\frac{2A_0}{\lambda} \sin \left\( \frac{2\pi x}{\lambda} \right $

B. $\frac{A_0}{\lambda} \sin \left\( \frac{2\pi x}{\lambda} \right $

C. $\frac{2A_0}{\lambda} \cos \left\( \frac{2\pi x}{\lambda} \right $

D. $\frac{A_0}{\lambda} \cos \left\( \frac{2\pi x}{\lambda} \right $

Correct Answer: A

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Question 23

A particle of mass $m$ is moving in a circular orbit of radius $R$ with a speed $v$. If the particle is subjected to a uniform magnetic field of strength $B$, what is the magnitude of the magnetic force acting on the particle?

Correct A. $\frac{mv^2}{R}$

B. $\frac{mv}{R}$

C. $\frac{m^2v^2}{R^2}$

D. $\frac{mv^2}{R^2}$

Correct Answer: A

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Question 24

A wave of wavelength $\lambda$ and frequency $f$ is traveling through a medium with a speed $v$. If the wave is reflected from a fixed \end, what is the magnitude of the resulting s\tanding wave?

Correct A. $\frac{2A_0}{\lambda} \sin \left\( \frac{2\pi x}{\lambda} \right $

B. $\frac{A_0}{\lambda} \sin \left\( \frac{2\pi x}{\lambda} \right $

C. $\frac{2A_0}{\lambda} \cos \left\( \frac{2\pi x}{\lambda} \right $

D. $\frac{A_0}{\lambda} \cos \left\( \frac{2\pi x}{\lambda} \right $

Correct Answer: A

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Question 25

A particle of mass $m$ is moving in a circular orbit of radius $R$ with a speed $v$. If the particle is subjected to a uniform magnetic field of strength $B$, what is the magnitude of the magnetic force acting on the particle?

Correct A. $\frac{mv^2}{R}$

B. $\frac{mv}{R}$

C. $\frac{m^2v^2}{R^2}$

D. $\frac{mv^2}{R^2}$

Correct Answer: A

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