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POST UTME BABCOCK UNIVERSITY 2017 Physics | Objective

Are you preparing for POST UTME BABCOCK UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2017 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle is subject to a centripetal force $F_c = \frac{mv^2}{r}$. If the particle's speed is doubled to $2v$, what is the new centripetal force $F_{c,new}$?

Correct A. 4mv^2/r

B. 2mv^2/r

C. mv^2/r

D. mv^2/2r

Correct Answer: A

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Question 2

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the total resis\tance $R_{total}$ of the circuit?

A. 10 Ω

B. 12 Ω

Correct C. 16 Ω

D. 20 Ω

Correct Answer: C

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Question 3

A wave has a frequency of 20 Hz and a wavelength of 0.5 m. What is the speed $v$ 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 4

A capacitor has a capaci\tance of 10 μF and is connected to a 12 V battery. What is the charge $Q$ stored on the capacitor?

A. 120 μC

Correct B. 240 μC

C. 360 μC

D. 480 μC

Correct Answer: B

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Question 5

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

Correct A. 1.7 m

B. 1.8 m

C. 1.9 m

D. 2.0 m

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 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. 10 m/s^2

Correct B. 12 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 7

A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. What is the maximum speed of the block?

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 8

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 120 V battery. What is the time cons\tant of the circuit?

A. 0.2 s

Correct B. 0.4 s

C. 0.6 s

D. 0.8 s

Correct Answer: B

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Question 9

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. 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 10

A 100 Ω resistor is connected in parallel with a 200 Ω resistor. What is the equivalent resis\tance of the circuit?

Correct A. 50 Ω

B. 100 Ω

C. 150 Ω

D. 200 Ω

Correct Answer: A

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Question 11

A block of mass 5 kg is susp\ended from a spring with spring cons\tant 200 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, what is the maximum speed of the block?

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 12

A gas at 300 K expands from 1 L to 2 L against a cons\tant external pressure of 1 atm. What is the work done by the gas?

A. -200 J

Correct B. -400 J

C. -600 J

D. -800 J

Correct Answer: B

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Question 13

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. 0.5 A

B. 1 A

Correct C. 1.5 A

D. 2 A

Correct Answer: C

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Question 14

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

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 15

A 2 kg block is moving at 4 m/s on a frictionless surface. If a force of 10 N is applied to the block, what is its acceleration?

A. 0.5 m/s^2

B. 1 m/s^2

C. 2 m/s^2

Correct D. 5 m/s^2

Correct Answer: D

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Question 16

A thermodynamic system undergoes a process from state A to state B. The change in internal energy is given by $ Delta U = Q - W $. If the system absorbs 500 J of heat and does 200 J of work, what is the change in internal energy?

Correct A. -300 J

B. 300 J

C. -700 J

D. 700 J

Correct Answer: A

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Question 17

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 net force acting on the particle?

A. 12 N

B. 24 N

Correct C. 48 N

D. 96 N

Correct Answer: C

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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. The capaci\tance is given by $ C = \frac{epsilon_0 A}{d} $. If the permittivity of free space is $ epsilon_0 = 8.85 \times 10^{-12} F/m $, what is the capaci\tance?

Correct A. 8.85 × 10^-10 F

B. 8.85 × 10^-11 F

C. 8.85 × 10^-12 F

D. 8.85 × 10^-13 F

Correct Answer: A

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Question 19

A gas expands from an initial volume of 2 L to a final volume of 5 L against an external pressure of 1 atm. If the work done is 100 J, what is the change in internal energy?

A. -100 J

Correct B. 100 J

C. 200 J

D. 300 J

Correct Answer: B

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Question 20

A radioactive sample decays from an initial activity of 100 Bq to a final activity of 50 Bq in 2 hours. What is the half-life of the sample?

A. 1 hour

Correct B. 2 hours

C. 4 hours

D. 6 hours

Correct Answer: B

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Question 21

A 1000 Ω resistor is connected in series with a 2000 Ω resistor and a 20 V battery. U\sing Kirchhoff's voltage law, calculate the current flowing through the 1000 Ω resistor.

A. 0.01 A

Correct B. 0.02 A

C. 0.03 A

D. 0.04 A

Correct Answer: B

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Question 22

A gas at 300 K and 1 atm expands to 2 atm at cons\tant temperature. Calculate the final volume of the gas.

A. 0.5 m^3

B. 1 m^3

Correct C. 2 m^3

D. 4 m^3

Correct Answer: C

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Question 23

A 50 Hz AC voltage source is connected to a 100 Ω resistor. Calculate the rms value of the current flowing through the resistor.

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 5 A

Correct Answer: B

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Question 24

A 1000 J of heat is added to a system at cons\tant volume. Calculate the change in internal energy of the system.

Correct A. 1000 J

B. 500 J

C. 2000 J

D. 3000 J

Correct Answer: A

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Question 25

A point charge of 2 μC is placed at the origin. Calculate the electric potential at a point 1 m away from the charge.

A. 1000 V

Correct B. 2000 V

C. 3000 V

D. 4000 V

Correct Answer: B

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