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POST UTME AFE BABALOLA UNIVERSITY 2021 Physics | Objective

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Question 1

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. 6 m/s^2

B. 8 m/s^2

Correct C. 10 m/s^2

D. 12 m/s^2

Correct Answer: C

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Question 2

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is the speed of the wave?

A. 10 m/s

Correct B. 20 m/s

C. 30 m/s

D. 40 m/s

Correct Answer: B

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Question 3

A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 0.1 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 0.5 m/s

B. 1 m/s

Correct C. 1.5 m/s

D. 2 m/s

Correct Answer: C

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Question 4

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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Question 5

A wave has a frequency of 100 Hz and a wavelength of 0.1 m. What is the speed of the wave?

A. 20 m/s

B. 30 m/s

Correct C. 40 m/s

D. 50 m/s

Correct Answer: C

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Question 6

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 x 10^-10 F, what is the charge on the plates when the potential difference between them is 200 V?

Correct A. 1.6 x 10^-7 C

B. 3.2 x 10^-7 C

C. 4.8 x 10^-7 C

D. 6.4 x 10^-7 C

Correct Answer: A

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Question 7

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?

Correct A. 10.67 N

B. 21.33 N

C. 32 N

D. 42.67 N

Correct Answer: A

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Question 8

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

A. 30°

Correct B. 48.59°

C. 60°

D. 75°

Correct Answer: B

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Question 9

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. 0.6 A

Correct B. 1.2 A

C. 2.4 A

D. 3.6 A

Correct Answer: B

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Question 10

A photon has an energy of 4.8 eV. What is its wavelength?

Correct A. 6.53 x 10^-7 m

B. 6.53 x 10^-6 m

C. 6.53 x 10^-5 m

D. 6.53 x 10^-4 m

Correct Answer: A

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Question 11

A uniform solid sphere of radius $R$ and mass $M$ is placed at the bottom of a deep well. The well is filled with a fluid of density $\rho$. If the sphere is displaced slightly from its equilibrium position, it will oscillate with a frequency given by the equation $f = \frac{1}{2pi}\sqrt{\frac{3pi^2\rho g}{2R}}$. What is the value of $f$ if $R = 0.1\text{ m}$, $M = 5\text{ kg}$, $\rho = 1000\text{ kg/m}^3$, and $g = 9.8\text{ m/s}^2$?

A. 0.5 Hz

Correct B. 1.0 Hz

C. 1.5 Hz

D. 2.0 Hz

Correct Answer: B

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Question 12

A capacitor consists of two parallel plates, each of area $A$ and separation $d$. The capacitor is connected to a battery of emf $V$. If the dielectric cons\tant of the material between the plates is $K$, what is the capaci\tance of the capacitor?

Correct A. $ \frac{KA\epsilon_0}{d} $

B. $ \frac{KA\epsilon_0}{2d} $

C. $ \frac{KA\epsilon_0}{3d} $

D. $ \frac{KA\epsilon_0}{4d} $

Correct Answer: A

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Question 13

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a centripetal force $F_c = \frac{mv^2}{r}$, what is the work done by the force in moving the particle through a dis\tance $s$?

Correct A. $ \frac{1}{2}mv^2 $

B. $ \frac{1}{2}mv^2 \frac{s}{r} $

C. $ \frac{1}{2}mv^2 \frac{s}{r^2} $

D. $ \frac{1}{2}mv^2 \frac{s^2}{r} $

Correct Answer: A

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Question 14

A gas is contained in a cylinder of volume $V$ and is subjected to a pressure $P$. If the gas is heated, what is the change in the pressure of the gas?

Correct A. $ \frac{P\Delta V}{V} $

B. $ \frac{P\Delta V}{2V} $

C. $ \frac{P\Delta V}{3V} $

D. $ \frac{P\Delta V}{4V} $

Correct Answer: A

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Question 15

A charged particle of mass $m$ and charge $q$ is moving in a uniform magnetic field $B$. If the particle is moving with a speed $v$ perp\endicular to the magnetic field, what is the force acting on the particle?

Correct A. $ qvB $

B. $ qv^2B $

C. $ qvB^2 $

D. $ qv^2B^2 $

Correct Answer: A

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Question 16

A body 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 body is subjected to a centripetal force of 12 N, what is the work done by the centripetal force in moving the body through a dis\tance of 10 m?

A. 60 J

Correct B. 80 J

C. 100 J

D. 120 J

Correct Answer: B

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Question 17

A ray of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is 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 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current through the circuit is 2 A, what is the power dissipated by the 4 Ω resistor?

Correct A. 16 W

B. 24 W

C. 32 W

D. 40 W

Correct Answer: A

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Question 19

A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If the particle is subjected to a force of 10 N, what is the acceleration of the particle after 2 s?

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 20

A body of mass 3 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the body is subjected to a centripetal force of 15 N, what is the work done by the centripetal force in moving the body through a dis\tance of 15 m?

A. 135 J

Correct B. 150 J

C. 165 J

D. 180 J

Correct Answer: B

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Question 21

A 5.0 Ω resistor is connected in series with a 12 V battery. If the current through the resistor is 0.5 A, what is the power dissipated by the resistor?

Correct A. 6 W

B. 12 W

C. 24 W

D. 48 W

Correct Answer: A

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Question 22

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?

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 23

A capacitor of capaci\tance 2 μF is connected in series with a resistor of resis\tance 10 kΩ. If the frequency of the alternating current is 50 Hz, what is the impedance of the circuit?

A. 10 kΩ

Correct B. 20 kΩ

C. 30 kΩ

D. 40 kΩ

Correct Answer: B

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Question 24

A magnet is placed near a coil of wire. If the coil has 100 turns and the magnetic field strength is 0.1 T, what is the induced emf in the coil?

A. 0.1 V

B. 1 V

Correct C. 10 V

D. 100 V

Correct Answer: C

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Question 25

A lens of focal length 20 cm is used to form an image of an object placed 30 cm away. What is the nature of the image formed?

Correct A. Real and inverted

B. Virtual and upright

C. Real and upright

D. Virtual and inverted

Correct Answer: A

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