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POST UTME ESUT 2021 Physics | Objective

Are you preparing for POST UTME ESUT exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2021 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, what is the value of the dielectric cons\tant $kappa$?

Correct A. 1

B. 2

C. 3

D. 4

Correct Answer: A

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Question 2

A block of mass $m$ is attached to a horizontal spring with spring cons\tant $k$. If the block is displaced by a dis\tance $x$ and released, what is the equation of motion?

Correct A. $ m\frac{d^2x}{dt^2}=-kx $

B. $ m\frac{d^2x}{dt^2}=kx $

C. $ m\frac{d^2x}{dt^2}=-\frac{k}{m}x $

D. $ m\frac{d^2x}{dt^2}=\frac{k}{m}x $

Correct Answer: A

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Question 3

A magnetic field is produced by a current-carrying wire. If the current is $I$ and the dis\tance from the wire is $r$, what is the magnitude of the magnetic field?

Correct A. $ B=\frac{mu_0I}{2pi r} $

B. $ B=\frac{2pimu_0Ir}{1} $

C. $ B=\frac{mu_0I}{pi r} $

D. $ B=\frac{pimu_0Ir}{2} $

Correct Answer: A

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Question 4

A particle of mass $m$ is moving in a circular orbit with radius $r$ and angular frequency $omega$. What is the centripetal force?

Correct A. $ F_c=\frac{mv^2}{r} $

B. $ F_c=\frac{mv^2}{r^2} $

C. $ F_c=\frac{mv^2}{r^3} $

D. $ F_c=\frac{mv^2}{r^4} $

Correct Answer: A

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Question 5

A beam of light passes through a prism and is re\fracted. If the angle of incidence is $i$ and the angle of re\fraction is $r$, what is the angle of deviation?

Correct A. $ D=i-r $

B. $ D=i+r $

C. $ D=i-r $

D. $ D=i+r $

Correct Answer: A

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Question 6

A particle of mass 2 kg is moving in a circular path of radius 3 m with a uniform speed of 4 m/s. If the particle is subjected to a centripetal acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?

A. 8 N

B. 10 N

Correct C. 12 N

D. 16 N

Correct Answer: C

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Question 7

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. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 8

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. 1.5 A

B. 2 A

Correct C. 2.5 A

D. 3 A

Correct Answer: C

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Question 9

A capacitor of capaci\tance 10 μF is connected across a 12 V battery. What is the charge stored on the capacitor?

A. 120 μC

Correct B. 150 μC

C. 180 μC

D. 200 μC

Correct Answer: B

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Question 10

A particle of mass 1 kg is moving in a circular path of radius 2 m with a uniform speed of 3 m/s. If the particle is subjected to a centripetal acceleration of 1 m/s^2, what is the magnitude of the force acting on the particle?

A. 2 N

B. 3 N

Correct C. 4 N

D. 5 N

Correct Answer: C

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Question 11

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 12

A circuit consists of a 12 Ω resistor, a 20 mH inductor, and a 10 μF capacitor connected in series. The circuit is driven by a 120 V AC source with a frequency of 50 Hz. What is the impedance of the circuit?

A. 10 Ω

B. 20 Ω

Correct C. 30 Ω

D. 40 Ω

Correct Answer: C

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Question 13

A radioactive sample decays according to the equation $N(t) = N_0 e^{-\lambda t}$, where $N_0$ is the initial number of nuclei, $\lambda$ is the decay cons\tant, and $t$ is time. If the half-life of the sample is 10 minutes, what is the decay cons\tant?

Correct A. 0.0693 min^-1

B. 0.0695 min^-1

C. 0.0697 min^-1

D. 0.0699 min^-1

Correct Answer: A

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Question 14

A parallel plate capacitor consists of two plates, each of area $A$, separated by a dis\tance $d$. The capacitor is charged to a potential difference $V$. What is the energy stored in the capacitor?

Correct A. \frac{1}{2} \frac{A \epsilon_0 V^2}{d}

B. \frac{1}{2} \frac{A V^2}{d}

C. \frac{1}{2} \frac{A \epsilon_0 V^2}{d^2}

D. \frac{1}{2} \frac{A V^2}{d^2}

Correct Answer: A

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Question 15

A current of 5 A flows through a wire of resis\tance 10 Ω. What is the power dissipated by the wire?

Correct A. 25 W

B. 50 W

C. 75 W

D. 100 W

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 uniform magnetic field of magnitude 2 T, directed perp\endicular to the plane of the circular path, what is the magnitude of the magnetic force acting on the particle?

Correct A. 6 N

B. 8 N

C. 10 N

D. 12 N

Correct Answer: A

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Question 17

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If air resis\tance is neglected, what is the maximum height reached by the projectile?

A. 15 m

Correct B. 20 m

C. 25 m

D. 30 m

Correct Answer: B

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Question 18

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 capacitor is 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 19

A block of mass 5 kg is 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. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 20

A \tank is filled with water to a height of 5 m. If the density of water is 1000 kg/m^3, what is the pressure at the bottom of the \tank?

A. 5000 Pa

Correct B. 10000 Pa

C. 15000 Pa

D. 20000 Pa

Correct Answer: B

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Question 21

A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the path is 3 m, calculate the magnitude of the force acting on the particle.

A. 8 N

B. 12 N

Correct C. 16 N

D. 20 N

Correct Answer: C

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Question 22

A 1000 Ω resistor is connected in series with a 2000 Ω resistor and a 3000 Ω resistor. If a voltage of 12 V is applied across the circuit, calculate the current flowing through the 2000 Ω resistor.

A. 0.004 A

B. 0.006 A

Correct C. 0.008 A

D. 0.01 A

Correct Answer: C

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Question 23

A gas is contained in a cylinder of volume 2 m^3 at a pressure of 100 kPa. If the temperature is increased by 20°C, calculate the new pressure of the gas.

A. 120 kPa

B. 140 kPa

Correct C. 160 kPa

D. 180 kPa

Correct Answer: C

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Question 24

A 50 Hz AC voltage is applied across a circuit containing a 10 Ω resistor and a 20 μF capacitor in series. If the current is 2 A, calculate the phase angle between the voltage and current.

A. 30°

B. 45°

Correct C. 60°

D. 75°

Correct Answer: C

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Question 25

A particle of mass 5 kg is moving in a circular path with a cons\tant speed of 6 m/s. If the radius of the path is 4 m, calculate the magnitude of the force acting on the particle.

A. 18 N

B. 22 N

Correct C. 26 N

D. 30 N

Correct Answer: C

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