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POST UTME UI 2024 Physics | Objective

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Question 1 View Details

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?

A. 8 m/s^2

Correct B. 12 m/s^2

C. 16 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 2 View Details

A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. What is the focal length of the combination?

A. 10 cm

B. 15 cm

C. 20 cm

Correct D. 25 cm

Correct Answer: D

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Question 3 View Details

A block of mass 5 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 2 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 2 m/s

B. 4 m/s

C. 6 m/s

Correct D. 8 m/s

Correct Answer: D

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Question 4 View Details

A radioactive sample decays from 100 g to 50 g in 10 minutes. What is the half-life of the sample?

A. 5 minutes

Correct B. 10 minutes

C. 15 minutes

D. 20 minutes

Correct Answer: B

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Question 5 View Details

A particle of mass 3 kg is moving in a circular path of radius 4 m with a cons\tant speed of 5 m/s. If the particle is subjected to a centripetal force of 15 N, what is the magnitude of the acceleration of the particle?

A. 10 m/s^2

B. 12 m/s^2

Correct C. 15 m/s^2

D. 18 m/s^2

Correct Answer: C

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Question 6 View Details

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 subject to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?

A. 4 m/s^2

B. 6 m/s^2

Correct C. 8 m/s^2

D. 10 m/s^2

Correct Answer: C

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Question 7 View Details

A coil of wire is placed in a magnetic field of strength 0.5 T. If the coil has 100 turns and a resis\tance of 10 Ω, what is the induced emf in the coil when the magnetic flux through it changes at a rate of 2 Wb/s?

A. 0.1 V

B. 0.2 V

Correct C. 0.5 V

D. 1 V

Correct Answer: C

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Question 8 View Details

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. 10 m

B. 15 m

Correct C. 20 m

D. 25 m

Correct Answer: C

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Question 9 View Details

A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the plates are charged to a potential difference of 10 V, what is the capaci\tance of the capacitor?

A. 0.01 F

Correct B. 0.1 F

C. 1 F

D. 10 F

Correct Answer: B

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Question 10 View Details

A force of 5 N is applied to an object of mass 2 kg, cau\sing it to accelerate at a rate of 2 m/s^2. What is the net force acting on the object?

A. 4 N

Correct B. 5 N

C. 6 N

D. 8 N

Correct Answer: B

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Question 11 View Details

A thermodynamic system undergoes a process from state A to state B. The change in internal energy is given by $ Delta U = Q - W $. If the system absorbs 500 J of heat and does 200 J of work, what is the change in internal energy?

Correct A. 600 J

B. 400 J

C. 200 J

D. -200 J

Correct Answer: A

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Question 12 View Details

A gas is compressed from an initial volume of 2.0 L to a final volume of 1.0 L at a cons\tant temperature. If the initial pressure is 2.0 atm, what is the final pressure?

A. 1.0 atm

B. 2.0 atm

Correct C. 3.0 atm

D. 4.0 atm

Correct Answer: C

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Question 13 View Details

A particle of mass 0.5 kg is moving in a circular path with a radius of 2.0 m. If the particle has a speed of 4.0 m/s, what is the magnitude of the centripetal force acting on the particle?

A. 10 N

Correct B. 20 N

C. 30 N

D. 40 N

Correct Answer: B

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Question 14 View Details

A photon of wavelength 500 nm is incident on a metal surface. If the work function of the metal is 2.5 eV, what is the maximum kinetic energy of the emitted electron?

A. 1.0 eV

B. 2.0 eV

Correct C. 3.0 eV

D. 4.0 eV

Correct Answer: C

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Question 15 View Details

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

A. 1.0 A

B. 2.0 A

Correct C. 3.0 A

D. 4.0 A

Correct Answer: C

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Question 16 View Details

A parallel plate capacitor has plates of area $A$ and separation $d$. The capaci\tance is $C$. If the separation is doubled, what is the new capaci\tance $C'$?

A. \frac{C}{2}

Correct B. \frac{C}{4}

C. C

D. 2C

Correct Answer: B

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Question 17 View Details

A block of mass $m$ is attached to a spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ and released from rest. What is the angular frequency of the resulting simple harmonic motion?

Correct A. \sqrt{\frac{k}{m}}

B. \sqrt{\frac{m}{k}}

C. \frac{k}{m}

D. \frac{m}{k}

Correct Answer: A

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Question 18 View Details

A current $I$ flows through a wire of resis\tance $R$. The power dissipated by the wire is $P$. If the current is doubled, what is the new power dissipated?

Correct A. 2P

B. P

C. \frac{P}{2}

D. \frac{P}{4}

Correct Answer: A

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Question 19 View Details

A \tank of volume $V$ contains a liquid of density $\rho$. The liquid is subjected to a pressure $P$. What is the force exerted by the liquid on the bottom of the \tank?

A. PV

Correct B. \frac{PV}{\rho}

C. \frac{\rho V}{P}

D. \frac{P}{\rho V}

Correct Answer: B

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Question 20 View Details

A heat engine operates between two temperatures $T_1$ and $T_2$. The efficiency of the engine is $\eta$. What is the ratio of the temperatures $\frac{T_1}{T_2}$?

A. 1+\eta

Correct B. 1-\eta

C. \frac{1+\eta}{\eta}

D. \frac{1-\eta}{\eta}

Correct Answer: B

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Question 21 View Details

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?

A. 18°

Correct B. 22°

C. 25°

D. 28°

Correct Answer: B

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Question 22 View Details

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. What is the magnitude of the force acting on the particle?

A. 10 N

B. 12 N

Correct C. 15 N

D. 18 N

Correct Answer: C

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Question 23 View Details

A 100 Ω resistor is connected in series with a 200 Ω resistor and a 300 Ω resistor. What is the equivalent resis\tance of the circuit?

A. 100 Ω

B. 200 Ω

C. 300 Ω

Correct D. 600 Ω

Correct Answer: D

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Question 24 View Details

A \tank is filled with water to a height of 5 m. What is the pressure at the bottom of the \tank?

A. 5000 Pa

B. 10000 Pa

Correct C. 15000 Pa

D. 20000 Pa

Correct Answer: C

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Question 25 View Details

A spring with a spring cons\tant of 100 N/m is stretched by 2 m. What is the potential energy stored in the spring?

A. 100 J

B. 200 J

C. 300 J

Correct D. 400 J

Correct Answer: D

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