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POST UTME IMS U 2019 Physics | Objective

Are you preparing for POST UTME IMS U exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2019 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.5 m from its equilibrium position and released from rest, what is the maximum speed of the particle?

A. 1 m/s

B. 2 m/s

Correct C. 4 m/s

D. 5 m/s

Correct Answer: C

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Question 2

A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 1000 Bq, what is the activity of the sample after 10 years?

A. 125 Bq

Correct B. 250 Bq

C. 500 Bq

D. 1000 Bq

Correct Answer: B

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Question 3

A particle of mass 1 kg is moving in a circular path with a radius of 2 m. If the particle has a speed of 4 m/s, what is the magnitude of the centripetal force acting on the particle?

A. 10 N

B. 20 N

Correct C. 40 N

D. 50 N

Correct Answer: C

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Question 4

A photon of energy 2 eV is incident on a metal surface with a work function of 1 eV. What is the maximum kinetic energy of the photoelectron?

A. 0.5 eV

B. 1 eV

Correct C. 1.5 eV

D. 2 eV

Correct Answer: C

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Question 5

A gas is confined to a cylinder of volume 0.1 m^3. If the gas is heated from 300 K to 400 K, what is the change in the number of moles of the gas?

A. 0.1 mol

Correct B. 0.2 mol

C. 0.3 mol

D. 0.4 mol

Correct Answer: B

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Question 6

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by $psi_0(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{pi x}{L}\right $$. What is the expectation value of the position operator for this state?

A. 0

Correct B. \frac{L}{2}

C. L

D. \frac{L}{4}

Correct Answer: B

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Question 7

A radioactive sample decays with a half-life of $t_{1/2} = 10$ minutes. If the initial activity of the sample is $A_0 = 100$ Bq, what is the activity of the sample after $t = 20$ minutes?

Correct A. 12.5

B. 25

C. 50

D. 100

Correct Answer: A

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Question 8

A thermodynamic system undergoes a process from an initial state $A$ to a final state $B$. The system absorbs $Q = 100$ J of heat and does $W = 50$ J of work. What is the change in internal energy of the system?

Correct A. -50

B. 0

C. 50

D. 100

Correct Answer: A

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Question 9

A circuit consists of a resistor $R = 10$ Ω and an inductor $L = 5$ H in series. The circuit is connected to a voltage source with a frequency of $f = 50$ Hz. What is the impedance of the circuit?

A. 10

Correct B. 15

C. 20

D. 25

Correct Answer: B

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Question 10

A capacitor $C = 10$ μF is connected to a voltage source with a frequency of $f = 100$ Hz. What is the reac\tance of the capacitor?

Correct A. 10

B. 20

C. 50

D. 100

Correct Answer: A

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Question 11

A block of mass 5 kg is susp\ended from a spring with a spring cons\tant of 200 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 as a function of time?

A. \omega = \sqrt{\frac{200}{5}}

B. \omega = \sqrt{\frac{5}{200}}

Correct C. \omega = \sqrt{\frac{200}{5}} \sin$ \omega t $

D. \omega = \sqrt{\frac{5}{200}} \cos$ \omega t $

Correct Answer: C

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Question 12

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?

Correct A. 20 μF

B. 10 μF

C. 5 μF

D. 2.5 μF

Correct Answer: A

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Question 13

A sound wave with a frequency of 200 Hz has a speed of 340 m/s. What is the wavelength of the sound wave?

Correct A. 1.7 m

B. 1.4 m

C. 1.1 m

D. 0.8 m

Correct Answer: A

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Question 14

A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine has an efficiency of 30%, what is the maximum possible work output?

Correct A. 1500 J

B. 1200 J

C. 900 J

D. 600 J

Correct Answer: A

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Question 15

A circuit consists of a 12 Ω resistor, a 20 Ω resistor, and a 10 Ω resistor connected in series. If a voltage of 24 V is applied across the circuit, what is the current through the 10 Ω resistor?

A. 0.5 A

B. 1 A

Correct C. 1.5 A

D. 2 A

Correct Answer: C

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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?

A. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 17

A 100 V AC supply is connected to a 20 Ω resistor. If the current in the circuit is 2 A, what is the power consumed by the resistor?

A. 200 W

Correct B. 400 W

C. 600 W

D. 800 W

Correct Answer: B

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Question 18

A ray of light passes through a prism and is re\fracted. If the angle of incidence is 30° and the angle of re\fraction is 20°, what is the angle of deviation?

A. 10°

B. 20°

Correct C. 30°

D. 40°

Correct Answer: C

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Question 19

A particle of mass 1 kg is moving in a simple harmonic motion with a frequency of 2 Hz. If the amplitude of the motion is 5 m, what is the maximum speed of the particle?

A. 10 m/s

B. 20 m/s

Correct C. 30 m/s

D. 40 m/s

Correct Answer: C

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Question 20

A 10 V AC supply is connected to a 50 Ω resistor. If the current in the circuit is 0.2 A, what is the power consumed by the resistor?

A. 2 W

B. 4 W

Correct C. 6 W

D. 8 W

Correct Answer: C

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Question 21

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle's velocity is 4 m/s, what is its angular momentum?

A. 12 kg m^2/s

Correct B. 16 kg m^2/s

C. 20 kg m^2/s

D. 24 kg m^2/s

Correct Answer: B

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Question 22

A block of mass 5 kg is attached to a horizontal, massless 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 its maximum speed?

A. 2 m/s

B. 4 m/s

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

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Question 23

A particle of mass 1 kg is moving in a straight line with a velocity of 3 m/s. If a cons\tant force of 2 N is applied to the particle, what is its acceleration?

A. 0.5 m/s^2

B. 1 m/s^2

C. 1.5 m/s^2

Correct D. 2 m/s^2

Correct Answer: D

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Question 24

A wave has a frequency of 50 Hz and a wavelength of 2 m. What is its speed?

A. 10 m/s

B. 20 m/s

C. 30 m/s

Correct D. 40 m/s

Correct Answer: D

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Question 25

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

A. 1 A

Correct B. 2 A

C. 3 A

D. 4 A

Correct Answer: B

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