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POST UTME BABCOCK UNIVERSITY 2018 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 2018 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

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, what is the maximum velocity of the particle?

A. 0.2 m/s

Correct B. 1.0 m/s

C. 2.0 m/s

D. 4.0 m/s

Correct Answer: B

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Question 2

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

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 3

A concave lens has a focal length of -20 cm. If an object is placed 30 cm in front of the lens, what is the image dis\tance?

Correct A. -60 cm

B. -40 cm

C. -20 cm

D. 10 cm

Correct Answer: A

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Question 4

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If air resis\tance is neglected, 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 5

A spring with a spring cons\tant of 50 N/m is stretched by 0.1 m. If the spring is then released from rest, what is the maximum kinetic energy of the spring?

A. 0.25 J

Correct B. 0.5 J

C. 1.0 J

D. 2.0 J

Correct Answer: B

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Question 6

A parallel plate capacitor with plates of area $A$ and separation $d$ is connected to a battery of emf $V$. If the dielectric cons\tant of the material between the plates is $kappa$, the capaci\tance of the capacitor is given by $C = \frac{kappa A epsilon_0}{d}$. If the battery is disconnected and a dielectric slab of thickness $t$ and dielectric cons\tant $kappa'$ is inserted between the plates, the new capaci\tance is given by $C' = \frac{kappa' A epsilon_0}{d - t}$. What is the ratio of the new capaci\tance to the original capaci\tance?

A. 1

B. \frac{\kappa'}{\kappa}

Correct C. \frac{\kappa'}{\kappa} \left$ 1 + \frac{t}{d}\right $

D. \frac{\kappa'}{\kappa} \left$ 1 - \frac{t}{d}\right $

Correct Answer: C

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Question 7

A gas at temperature $T$ and pressure $P$ is enclosed in a container of volume $V$. If the gas is heated to a temperature $T + \Delta T$ and the pressure is increased to $P + \Delta P$, what is the change in the volume of the gas?

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

B. \frac{V}{T} \Delta T

Correct C. \frac{V}{P} \Delta P + \frac{V}{T} \Delta T

D. \frac{V}{P} \Delta P - \frac{V}{T} \Delta T

Correct Answer: C

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Question 8

A radioactive sample has a half-life of $T_{1/2}$. If the initial activity of the sample is $A_0$ and the activity at time $t$ is $A(t)$, what is the ratio of the activity at time $t$ to the initial activity?

Correct A. \left$ \frac{1}{2}\right $^{t/T_{1/2}}

B. \left$ \frac{1}{2}\right $^{T_{1/2}/t}

C. \left$ \frac{1}{2}\right $^{t/T_{1/2}} + \left$ \frac{1}{2}\right $^{T_{1/2}/t}

D. \left$ \frac{1}{2}\right $^{t/T_{1/2}} - \left$ \frac{1}{2}\right $^{T_{1/2}/t}

Correct Answer: A

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Question 9

A convex lens of focal length $f$ is placed in a beam of light. If the object dis\tance is $u$ and the image dis\tance is $v$, what is the magnification of the lens?

Correct A. \frac{v}{u}

B. \frac{u}{v}

C. \frac{f}{u}

D. \frac{f}{v}

Correct Answer: A

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Question 10

A ray of light passes through a prism of angle $A$ and is re\fracted at an angle $B$. If the angle of incidence is $i$ and the angle of emergence is $e$, what is the angle of deviation?

Correct A. i + e - A

B. i + e + A

C. i - e + A

D. -i + e + A

Correct Answer: A

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Question 11

A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. It is displaced by 0.5 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, find the maximum speed of the particle.

A. 1.25 m/s

Correct B. 2.5 m/s

C. 5 m/s

D. 10 m/s

Correct Answer: B

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Question 12

A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm in front of it. 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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Question 13

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

A. 120 μC

B. 240 μC

Correct C. 360 μC

D. 480 μC

Correct Answer: C

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Question 14

A body of mass 5 kg is moving with a velocity of 10 m/s. What is its kinetic energy?

A. 250 J

Correct B. 500 J

C. 750 J

D. 1000 J

Correct Answer: B

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Question 15

A particle of mass 3 kg is moving in a circular path of radius 2 m with a speed of 4 m/s. What is its angular velocity?

A. 0.5 rad/s

B. 1 rad/s

Correct C. 2 rad/s

D. 4 rad/s

Correct Answer: C

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Question 16

A 2.5 kg block of ice at 0°C is placed in a 10°C water bath. Assuming the specific heat capacity of ice is 2090 J/(kg·K) and the specific heat capacity of water is 4186 J/(kg·K), calculate the time it takes for the ice to melt completely.

A. 10 minutes

B. 20 minutes

Correct C. 30 minutes

D. 40 minutes

Correct Answer: C

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Question 17

A gas expands from 1.5 L to 3.5 L against a cons\tant external pressure of 2.5 atm. If the initial temperature is 300 K, calculate the work done by the gas in Joules.

A. -1200 J

B. -1500 J

Correct C. -1800 J

D. -2000 J

Correct Answer: C

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Question 18

A projectile is launched from the ground with an initial velocity of 50 m/s at an angle of 60° above the horizontal. If the acceleration due to gravity is 9.8 m/s², calculate the time it takes for the projectile to reach its maximum height.

A. 2.0 s

Correct B. 2.5 s

C. 3.0 s

D. 3.5 s

Correct Answer: B

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Question 19

A 5 μF capacitor is connected in series with a 10 kΩ resistor and a 20 V battery. If the initial current is 0 A, calculate the time cons\tant of the circuit.

A. 0.1 s

B. 0.5 s

Correct C. 1.0 s

D. 2.0 s

Correct Answer: C

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Question 20

A 10 kg object is moving in a circular path with a radius of 5 m at a speed of 20 m/s. If the acceleration due to gravity is 9.8 m/s², calculate the centripetal force acting on the object.

A. 100 N

B. 200 N

Correct C. 300 N

D. 400 N

Correct Answer: C

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Question 21

A 5 kg block is projected up a 30° inclined plane with an initial velocity of 10 m/s. Assuming the coefficient of kinetic friction is 0.2, calculate the time it takes for the block to come to rest.

A. 2.5 s

Correct B. 3.5 s

C. 4.5 s

D. 5.5 s

Correct Answer: B

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Question 22

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If the plates are separated by a dis\tance of 2 mm, calculate the electric field between the plates.

A. 10^4 V/m

B. 10^5 V/m

Correct C. 10^6 V/m

D. 10^7 V/m

Correct Answer: C

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Question 23

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 1 atm, calculate the final pressure.

A. 1.33 atm

B. 1.5 atm

Correct C. 1.67 atm

D. 2 atm

Correct Answer: C

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Question 24

A 2 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 0.5 m from its equilibrium position and released, calculate 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 25

A 5 kg block is projected up a 30° inclined plane with an initial velocity of 10 m/s. Assuming the coefficient of kinetic friction is 0.2, calculate the dis\tance traveled by the block before it comes to rest.

A. 5 m

B. 10 m

Correct C. 15 m

D. 20 m

Correct Answer: C

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