Practice Post UTME NOUN physics 2022 Past Questions

Question 1

A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the force?

A. 10 N

Correct B. 12 N

C. 15 N

D. 20 N

Correct Answer: B

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Question 2

A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 3

A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor of induc\tance 0.5 H. If the circuit is connected to a switch that is closed at time t = 0, what is the current in the circuit at time t = 2 s?

A. 2 A

Correct B. 4 A

C. 6 A

D. 8 A

Correct Answer: B

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Question 4

A photon of energy 2 eV is incident on a metal surface with work function 1.5 eV. What is the maximum kinetic energy of the photoelectron?

A. 0.5 eV

Correct B. 1 eV

C. 1.5 eV

D. 2 eV

Correct Answer: B

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Question 5

A heat engine operates between a source at 500 K and a \sink at 300 K. If the engine has an efficiency of 30%, what is the temperature of the source?

A. 400 K

B. 500 K

Correct C. 600 K

D. 700 K

Correct Answer: C

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Question 6

A radioactive sample of uranium-238 undergoes \alpha decay, emitting an \alpha particle. If the initial mass of the sample is 100 g, what is the mass of the daughter nucleus after 10 half-lives?

A. 25 g

B. 50 g

C. 75 g

Correct D. 87.5 g

Correct Answer: D

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Question 7

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If the dis\tance between the plates is doubled, what is the new potential difference?

A. 10 V

B. 20 V

C. 30 V

Correct D. 40 V

Correct Answer: D

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Question 8

A lens has a focal length of 20 cm and is used to form an image of an object at a dis\tance of 30 cm. If the object is moved to a dis\tance of 60 cm, what is the new image dis\tance?

A. 10 cm

Correct B. 20 cm

C. 30 cm

D. 40 cm

Correct Answer: B

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Question 9

A particle of mass 1 kg is moving in a circular path with a radius of 2 m and a speed of 4 m/s. If the particle is subject to a centripetal force of 10 N, what is the angular velocity?

A. 0.5 rad/s

B. 1 rad/s

C. 2 rad/s

Correct D. 4 rad/s

Correct Answer: D

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Question 10

A photon of energy 2 eV is incident on a metal surface with a work function of 1 eV. If the photon is absorbed, what is the maximum kinetic energy of the emitted electron?

A. 0.5 eV

B. 1 eV

Correct C. 1.5 eV

D. 2 eV

Correct Answer: C

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Question 11

A particle of mass $m$ and charge $q$ moves in a circular path of radius $r$ in a uniform magnetic field of strength $B$. If the particle's speed is $v$, what is the magnitude of the magnetic field?

Correct A. \frac{mv}{q r}

B. \frac{mv^2}{q r}

C. \frac{q r}{mv}

D. \frac{mv^2}{q r^2}

Correct Answer: A

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Question 12

A projectile is launched from the ground with an initial velocity of $v_0$ at an angle of $\theta$ above the horizontal. If the air resis\tance is negligible, what is the time of flight?

Correct A. \frac{2 v_0 \sin \theta}{g}

B. \frac{v_0 \sin \theta}{g}

C. \frac{2 v_0 \cos \theta}{g}

D. \frac{v_0 \cos \theta}{g}

Correct Answer: A

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Question 13

A thermodynamic system undergoes a process in which the volume is increased from $V_1$ to $V_2$ while the pressure remains cons\tant. What is the work done by the system?

Correct A. P \Delta V

B. \frac{P \Delta V}{V_1}

C. \frac{P \Delta V}{V_2}

D. P \Delta V^2

Correct Answer: A

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Question 14

A quantum particle is confined to a one-dimensional box of length $L$. What is the energy of the particle in the ground state?

Correct A. \frac{h^2}{8 m L^2}

B. \frac{h^2}{4 m L^2}

C. \frac{h^2}{2 m L^2}

D. \frac{h^2}{m L^2}

Correct Answer: A

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Question 15

A heat engine operates between two temperatures $T_1$ and $T_2$. What is the efficiency of the engine?

Correct A. 1 - \frac{T_2}{T_1}

B. \frac{T_2}{T_1}

C. \frac{T_1}{T_2}

D. 1 + \frac{T_2}{T_1}

Correct Answer: A

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Question 16

A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?

Correct A. 6 m/s^2

B. 12 m/s^2

C. 18 m/s^2

D. 24 m/s^2

Correct Answer: A

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Question 17

A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 4.47 m/s

Correct B. 8.94 m/s

C. 13.41 m/s

D. 18.88 m/s

Correct Answer: B

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Question 18

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If air resis\tance is neglected, what is the maximum height reached by the projectile?

A. 5 m

Correct B. 10 m

C. 15 m

D. 20 m

Correct Answer: B

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Question 19

A \tank contains 1000 L of water at a pressure of 200 kPa. If a valve is opened and 100 L of water is released per second, what is the rate of change of the pressure in the \tank?

Correct A. -20000 Pa/s

B. -40000 Pa/s

C. -60000 Pa/s

D. -80000 Pa/s

Correct Answer: A

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Question 20

A spring with a force cons\tant of 300 N/m is stretched by 0.5 m from its equilibrium position. If the spring is then released from rest, what is the maximum speed of the block attached to the spring?

A. 6.36 m/s

Correct B. 12.72 m/s

C. 19.08 m/s

D. 25.44 m/s

Correct Answer: B

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Question 21

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by $psi(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{npi x}{L}\right $$, where $n$ is a positive integer. What is the expectation value of the position of the particle?

A. 0

Correct B. L/2

C. L

D. nπL/2

Correct Answer: B

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Question 22

A simple harmonic motion is described by the equation $x(t) = A \cos$ omega t + phi $$, where $A$ is the amplitude, $omega$ is the angular frequency, and $phi$ is the phase angle. What is the maximum velocity of the particle?

Correct A. Aω

B. Aω^2

C. A^2ω

D. Aω^3

Correct Answer: A

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Question 23

A magnetic field is described by the equation $B(x) = B_0 left$ 1 - \frac{x^2}{L^2}\right $$, where $B_0$ is the maximum magnetic field and $L$ is the length of the region. What is the magnetic flux through a circular loop of radius $r$ centered at the origin?

A. πB_0r^2

Correct B. πB_0r^2\left$ 1 - \frac{r^2}{L^2}\right $

C. πB_0r^2\left$ 1 + \frac{r^2}{L^2}\right $

D. πB_0r^2\left$ 1 - \frac{r^2}{L^2}\right $^2

Correct Answer: B

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Question 24

A work function is given by the equation $W = W_0 + kE^2$, where $W_0$ is the minimum work function and $k$ is a cons\tant. What is the energy of the electron emitted when the energy of the incident photon is $E = 2E_0$?

A. E_0

B. 2E_0

Correct C. 3E_0

D. 4E_0

Correct Answer: C

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Question 25

A simple harmonic motion is described by the equation $x(t) = A \cos$ omega t + phi $$, where $A$ is the amplitude, $omega$ is the angular frequency, and $phi$ is the phase angle. What is the period of the motion?

A. 2πA/ω

B. 2πA^2/ω

Correct C. 2π/ω

D. 2πA/ω^2

Correct Answer: C

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