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POST UTME CRAWFORD UNIVERSITY 2019 Physics | Objective

Are you preparing for POST UTME CRAWFORD UNIVERSITY 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 solid sphere of radius $R$ is placed in a liquid of density $\rho$ such that it is partially submerged. If the sphere has a density $\rho_s$ and the liquid exerts an upward buoyant force of $F_b$ on the sphere, what is the magnitude of the force $F$ exerted by the liquid on the sphere?

A. $F = F_b$

Correct B. $F = F_b - \rho_s g V$

C. $F = F_b + \rho_s g V$

D. $F = \rho_s g V$

Correct Answer: B

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Question 2

A circuit consists of a $10Omega$ resistor, a $20mu F$ capacitor, and a $50mH$ inductor connected in series. If the circuit is driven by a $10V$ AC source with a frequency of $100Hz$, what is the impedance of the circuit?

A. $10Omega$

B. $20Omega$

Correct C. $30Omega$

D. $40Omega$

Correct Answer: C

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Question 3

A light ray passes through a prism with an apex angle of $60^{circ}$ and is re\fracted at an angle of $30^{circ}$. If the angle of incidence is $45^{circ}$, what is the angle of emergence?

A. $15^{circ}$

Correct B. $30^{circ}$

C. $45^{circ}$

D. $60^{circ}$

Correct Answer: B

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Question 4

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle experiences a centripetal force of magnitude $F_c$, what is the magnitude of the force $F$ exerted by the particle on the wall of the circular path?

Correct A. $F = F_c$

B. $F = F_c - mg$

C. $F = F_c + mg$

D. $F = mg$

Correct Answer: A

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Question 5

A coil of wire with $N$ turns and a cross-sectional area $A$ is placed in a magnetic field of strength $B$. If the coil is rotated by an angle $\theta$ from its initial position, what is the magnitude of the induced emf $e$ in the coil?

Correct A. $e = NAB\sin\theta$

B. $e = NAB\cos\theta$

C. $e = NAB\tan\theta$

D. $e = NABcsc\theta$

Correct Answer: A

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Question 6

A uniform magnetic field of strength 2.0 T is applied to a current-carrying wire of length 0.5 m. If the current in the wire is 5.0 A, what is the magnitude of the magnetic force experienced by the wire?

A. 0.5 N

Correct B. 1.0 N

C. 2.0 N

D. 5.0 N

Correct Answer: B

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Question 7

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 5 V is applied across the plates, what is the magnitude of the electric field between the plates?

A. 100 V/m

Correct B. 500 V/m

C. 1000 V/m

D. 5000 V/m

Correct Answer: B

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Question 8

A gas at a pressure of 2 atm and temperature of 300 K is heated to a temperature of 400 K. What is the new pressure of the gas?

A. 1 atm

B. 2 atm

Correct C. 4 atm

D. 8 atm

Correct Answer: C

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Question 9

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

A. 1 N

B. 2 N

Correct C. 4 N

D. 8 N

Correct Answer: C

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Question 10

A beam of light is incident on a prism at an angle of 30°. If the re\fractive index of the prism is 1.5, what is the angle of re\fraction?

A. 20°

B. 30°

Correct C. 40°

D. 50°

Correct Answer: C

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Question 11

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial volume is 2.00 L, what is the final volume?

A. 3.33 L

Correct B. 4.00 L

C. 2.00 L

D. 1.50 L

Correct Answer: B

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Question 12

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 50 Hz AC source. What is the impedance of the circuit?

Correct A. 22.36 Ω

B. 25.00 Ω

C. 30.00 Ω

D. 35.00 Ω

Correct Answer: A

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Question 13

A 100 g block of copper is heated from 20°C to 80°C. If the specific heat capacity of copper is 0.385 J/g°C, what is the heat energy transferred?

Correct A. 3.85 J

B. 4.15 J

C. 4.85 J

D. 5.15 J

Correct Answer: A

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Question 14

A particle is projected at an angle of 60° to the horizontal with an initial velocity of 20 m/s. If the acceleration due to gravity is 9.8 m/s², what is the time of flight?

A. 1.00 s

Correct B. 1.50 s

C. 2.00 s

D. 2.50 s

Correct Answer: B

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Question 15

A 5.00 m long rod is pivoted at one \end. If a 2.00 N force is applied at a dis\tance of 1.50 m from the pivot, what is the torque?

Correct A. 3.00 Nm

B. 3.50 Nm

C. 4.00 Nm

D. 4.50 Nm

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 acceleration of 2 m/s², what is the magnitude of the force acting on the particle?

A. 10 N

Correct B. 12 N

C. 15 N

D. 18 N

Correct Answer: B

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Question 17

A block of mass 5 kg is moving with a velocity of 2 m/s on a frictionless surface. If a force of 10 N is applied to the block in the direction of motion, what is the acceleration of the block?

A. 0.2 m/s²

Correct B. 0.4 m/s²

C. 0.6 m/s²

D. 0.8 m/s²

Correct Answer: B

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Question 18

A wave has a frequency of 20 Hz and a wavelength of 0.5 m. If the wave is traveling in the positive x-direction, what is the direction of the particle velocity?

Correct A. Positive x-direction

B. Negative x-direction

C. Positive y-direction

D. Negative y-direction

Correct Answer: A

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Question 19

A simple harmonic motion has a maximum displacement of 2 m and a frequency of 10 Hz. If the amplitude is 1 m, what is the angular frequency?

A. 20 rad/s

Correct B. 40 rad/s

C. 60 rad/s

D. 80 rad/s

Correct Answer: B

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Question 20

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the acceleration due to gravity is 9.8 m/s², 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 21

A charged particle of mass $m$ and charge $q$ moves in a circular path of radius $r$ in a uniform magnetic field of strength $B$. The particle's velocity is $v$. If the magnetic field is increased to $2B$, what is the new radius of the circular path?

A. r/2

B. r

Correct C. 2r

D. 4r

Correct Answer: C

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Question 22

A photon of wavelength $\lambda$ and frequency $f$ is incident on a double-slit apparatus. The slits are separated by a dis\tance $d$. If the photon is detected at a dis\tance $x$ from the central maximum, what is the angle of deviation $\theta$?

Correct A. \theta = \arc\sin \left$ \frac{\lambda}{d} \right $

B. \theta = \arc\sin \left$ \frac{d}{\lambda} \right $

C. \theta = \arc\cos \left$ \frac{\lambda}{d} \right $

D. \theta = \arc\cos \left$ \frac{d}{\lambda} \right $

Correct Answer: A

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Question 23

A lens of focal length $f$ is placed in a beam of light. The beam is incident on the lens at an angle $\theta$. If the lens is moved to a dis\tance $x$ from the original position, what is the new focal length $f'$?

Correct A. \frac{f}{1 + \frac{x}{f}}

B. \frac{f}{1 - \frac{x}{f}}

C. \frac{f}{1 + \frac{f}{x}}

D. \frac{f}{1 - \frac{f}{x}}

Correct Answer: A

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Question 24

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

Correct A. \frac{A_0}{2^{t/t_{1/2}}}

B. \frac{A_0}{1 + \frac{t}{t_{1/2}}}

C. \frac{A_0}{1 - \frac{t}{t_{1/2}}}

D. \frac{A_0}{1 + \frac{t_{1/2}}{t}}

Correct Answer: A

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Question 25

A \sinusoidal voltage source of amplitude $V_0$ and frequency $f$ is connected to a resistor of resis\tance $R$. If the voltage is measured at a time $t$, what is the voltage $V$?

Correct A. V_0 \sin $ 2\pi ft $

B. V_0 \cos $ 2\pi ft $

C. V_0 \sin $ \pi ft $

D. V_0 \cos $ \pi ft $

Correct Answer: A

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