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POST UTME UNILAG 2019 Physics | Objective

Are you preparing for POST UTME UNILAG 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 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. \frac{Cd}{\epsilon_0A}

B. \frac{\epsilon_0A}{Cd}

C. \frac{Cd}{\epsilon_0}

D. \frac{\epsilon_0}{Cd}

Correct Answer: A

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Question 2

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

A. 50^\circ

Correct B. 60^\circ

C. 70^\circ

D. 80^\circ

Correct Answer: B

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Question 3

A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. If the force of attraction between the particle and the center of the circle is $F$, what is the value of the angular momentum?

Correct A. \frac{mv^2}{r}

B. \frac{mv}{r}

C. \frac{mv^2r}{F}

D. \frac{F}{mv^2}

Correct Answer: A

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Question 4

A light source is placed at a dis\tance $d$ from a screen. If the wavelength of the light is $\lambda$, what is the value of the dis\tance between the first two minima on the screen?

Correct A. \frac{2\lambda d}{3}

B. \frac{2\lambda d}{2}

C. \frac{2\lambda d}{1}

D. \frac{2\lambda d}{4}

Correct Answer: A

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Question 5

A capacitor is connected to a battery of voltage $V$. If the capaci\tance is $C$ and the charge on the capacitor is $Q$, what is the value of the energy stored?

A. \frac{Q^2}{2C}

Correct B. \frac{CV^2}{2}

C. \frac{QV}{2}

D. \frac{CV}{2}

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 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. \frac{L}{2}

C. L

D. \frac{n\pi L}{2}

Correct Answer: B

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Question 7

A block of mass $M$ is placed on a horizontal surface, and a horizontal force $F$ is applied to it. The block is initially at rest, and the force is applied for a time $t$. What is the acceleration of the block?

Correct A. \frac{F}{M}

B. \frac{Ft}{M}

C. \frac{F}{Mt}

D. \frac{Ft}{Mt}

Correct Answer: A

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Question 8

A simple harmonic oscillator has a frequency of $\omega = 2\pi f$. What is the angular frequency of the oscillator?

Correct A. 2\pi f

B. f

C. \frac{1}{f}

D. \frac{1}{2\pi f}

Correct Answer: A

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Question 9

A wave has a frequency of $f = 50\,\text{Hz}$ and a wavelength of $\lambda = 2\,\text{m}$. What is the speed of the wave?

Correct A. 1000\,\text{m/s}

B. 50\,\text{m/s}

C. 2\,\text{m/s}

D. 1\,\text{m/s}

Correct Answer: A

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Question 10

A circuit consists of a resistor $R$ and an inductor $L$ connected in series. The circuit is driven by a voltage source $V$. What is the impedance of the circuit?

Correct A. \sqrt{R^2 + $ \omega L $^2}

B. R + \omega L

C. R - \omega L

D. \omega L - R

Correct Answer: A

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Question 11

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

A. 8 N

Correct B. 16 N

C. 32 N

D. 64 N

Correct Answer: B

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Question 12

A simple harmonic motion is described by the equation x(t) = 2 \cos$ 3t + π/4 $. What is the angular frequency of the motion?

A. 1 rad/s

B. 2 rad/s

Correct C. 3 rad/s

D. 4 rad/s

Correct Answer: C

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Question 13

A heat engine operates between two reservoirs at temperatures 500 K and 300 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, what is the efficiency of the engine?

A. 0.25

B. 0.33

C. 0.5

Correct D. 0.67

Correct Answer: D

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Question 14

A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If it experiences a cons\tant acceleration of 2 m/s^2, what is its velocity after 3 seconds?

A. 7 m/s

B. 9 m/s

Correct C. 11 m/s

D. 13 m/s

Correct Answer: C

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Question 15

A radioactive sample decays with a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?

A. 12.5 Bq

Correct B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: B

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Question 16

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 0.2 m from its equilibrium position and released from rest, determine the angular frequency of the resulting simple harmonic motion.

A. 10 rad/s

Correct B. 20 rad/s

C. 30 rad/s

D. 40 rad/s

Correct Answer: B

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Question 17

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

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 18

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, determine the current flowing through the 5 Ω resistor.

A. 0.4 A

B. 0.6 A

Correct C. 0.8 A

D. 1.0 A

Correct Answer: C

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Question 19

A light source is placed 1 m away from a convex lens with a focal length of 0.5 m. If the light source is moved 0.2 m closer to the lens, determine the new image dis\tance.

A. 0.5 m

Correct B. 0.6 m

C. 0.7 m

D. 0.8 m

Correct Answer: B

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Question 20

A magnetic field of 0.5 T is applied to a current-carrying wire with a current of 2 A. If the wire is 0.2 m long, determine the force exerted on the wire.

A. 0.1 N

B. 0.2 N

Correct C. 0.3 N

D. 0.4 N

Correct Answer: C

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Question 21

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_1\( x \ $ = \sqrt{\frac{2}{L}} \sinleft$ \frac{pi x}{L}\right $). What is the probability of finding the particle between $x = 0$ and $x = \frac{L}{4}$?

A. $ \frac{1}{2} $

Correct B. $ \frac{1}{4} $

C. $ \frac{1}{8} $

D. $ \frac{1}{16} $

Correct Answer: B

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Question 22

A magnetic field of magnitude $B = 2.0 \times 10^{-2} , \text{T}$ is directed perp\endicular to the plane of a circular loop of radius $r = 0.05 , \text{m}$. The loop carries a current $I = 5.0 , \text{A}$. What is the magnitude of the torque experienced by the loop?

A. $ 1.25 \times 10^{-4} , \text{N} cdot \text{m} $

B. $ 2.50 \times 10^{-4} , \text{N} cdot \text{m} $

Correct C. $ 5.00 \times 10^{-4} , \text{N} cdot \text{m} $

D. $ 1.00 \times 10^{-3} , \text{N} cdot \text{m} $

Correct Answer: C

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Question 23

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle experiences a centripetal force $F_c = \frac{mv^2}{r}$. What is the magnitude of the acceleration of the particle?

A. $ \frac{v}{r} $

Correct B. $ \frac{v^2}{r} $

C. $ \frac{v^3}{r^2} $

D. $ \frac{v^4}{r^3} $

Correct Answer: B

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Question 24

A circuit consists of a resistor $R_1 = 10 , Omega$, a resistor $R_2 = 20 , Omega$, and a battery of emf $E = 12 , \text{V}$. The circuit is connected in series. What is the total resis\tance of the circuit?

A. ( 30 , Omega )

B. ( 40 , Omega )

Correct C. ( 50 , Omega )

D. ( 60 , Omega )

Correct Answer: C

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Question 25

A projectile is launched from the ground with an initial velocity $v_0 = 20 , \text{m/s}$ at an angle $\theta = 30^circ$ above the horizontal. The projectile lands on the ground after $t = 2 , \text{s}$. What is the maximum height reached by the projectile?

A. $ 5.0 , \text{m} $

B. $ 10.0 , \text{m} $

Correct C. $ 15.0 , \text{m} $

D. $ 20.0 , \text{m} $

Correct Answer: C

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