Practice post utme afe babalola university physics 2024 Past Questions

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 experiences a centripetal acceleration of 2 m/s^2, what is the magnitude of the net force acting on the particle?

A. 8 N

B. 12 N

Correct C. 16 N

D. 20 N

Correct Answer: C

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Question 2

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. Assuming the block undergoes simple harmonic motion, 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 3

A radioactive sample decays such that its activity decreases by a factor of 2 every 10 minutes. If the initial activity is 1000 Bq, what is the activity of the sample after 30 minutes?

A. 125 Bq

Correct B. 250 Bq

C. 500 Bq

D. 1000 Bq

Correct Answer: B

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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 60° above the horizontal. Assuming the only force acting on the projectile is gravity, 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 rigid body is in equilibrium under the action of three forces: a 10 N force acting at an angle of 30° above the horizontal, a 20 N force acting at an angle of 60° above the horizontal, and a 30 N force acting at an angle of 90° above the horizontal. What is the magnitude of the net force acting on the rigid body?

A. 20 N

B. 25 N

Correct C. 30 N

D. 35 N

Correct Answer: C

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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 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?

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 8

A 100 V, 50 Hz AC supply is connected across a resistor of 10 Ω. What is the rms value of the current flowing through the resistor?

Correct A. 2 A

B. 5 A

C. 10 A

D. 20 A

Correct Answer: A

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Question 9

A block of mass 5 kg is moving with a speed of 10 m/s on a frictionless surface. If a force of 20 N is applied to the block, what is the acceleration of the block?

A. 2 m/s^2

B. 4 m/s^2

C. 6 m/s^2

Correct D. 8 m/s^2

Correct Answer: D

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Question 10

A simple harmonic motion has a time period of 2 s and an amplitude of 5 m. If the motion starts from its mean position, what is the maximum velocity of the particle?

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 11

A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F = k \frac{1}{r^2}$, where $k$ is a cons\tant. If the particle's speed is $v$, what is the total energy of the particle?

A. 0

B. -\frac{1}{2}mv^2

Correct C. \frac{1}{2}mv^2

D. -\frac{k}{r}

Correct Answer: C

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Question 12

A parallel plate capacitor has plates of area $A$ separated by a dis\tance $d$. The capaci\tance is given by $C = \frac{\epsilon_0 A}{d}$. If the voltage across the capacitor is $V$, what is the energy stored in the capacitor?

Correct A. \frac{1}{2}CV^2

B. \frac{1}{2}\frac{\epsilon_0 A}{d}V^2

C. \frac{1}{2}\frac{\epsilon_0 A}{d}V

D. \frac{1}{2}AV^2

Correct Answer: A

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Question 13

A current $I$ flows through a wire of resis\tance $R$. The power dissipated in the wire is given by $P = I^2R$. If the current is doubled, what is the new power dissipated?

A. 2P

Correct B. 4P

C. P

D. \frac{1}{2}P

Correct Answer: B

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Question 14

A magnetic field $B$ is directed perp\endicular to a current-carrying wire. The force on the wire is given by $F = IBl$. If the current is doubled, what is the new force?

A. 2F

Correct B. 4F

C. F

D. \frac{1}{2}F

Correct Answer: B

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Question 15

A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F = k \frac{1}{r^2}$, where $k$ is a cons\tant. If the particle's speed is $v$, what is the angular momentum of the particle?

A. mv

B. mv^2

C. mv^3

Correct D. mvr

Correct Answer: D

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Question 16

A uniform magnetic field of strength 2.0 T is applied to a long solenoid. If the solenoid has 500 turns per meter and carries a current of 5.0 A, what is the magnetic flux through a 0.20 m length of the solenoid?

Correct A. 0.50 Wb

B. 0.25 Wb

C. 1.0 Wb

D. 2.0 Wb

Correct Answer: A

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Question 17

A gas at 300 K and 1.0 atm is expanded to 2.0 atm at cons\tant temperature. What is the final volume of the gas?

Correct A. 0.50 m^3

B. 1.0 m^3

C. 2.0 m^3

D. 4.0 m^3

Correct Answer: A

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Question 18

A 100 W heater is connected to a 230 V mains supply. What is the current drawn by the heater?

A. 0.50 A

Correct B. 1.0 A

C. 2.0 A

D. 4.0 A

Correct Answer: B

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Question 19

A 10 kg block is susp\ended from a spring with a spring cons\tant of 100 N/m. What is the extension of the spring when the block is in equilibrium?

Correct A. 0.10 m

B. 0.20 m

C. 0.50 m

D. 1.0 m

Correct Answer: A

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Question 20

A 5.0 L flask contains 2.0 mol of an ideal gas at 300 K. What is the pressure of the gas?

A. 1.0 atm

Correct B. 2.0 atm

C. 3.0 atm

D. 4.0 atm

Correct Answer: B

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Question 21

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle's angular velocity is 4 rad/s, what is its linear velocity?

A. 10 m/s

Correct B. 12 m/s

C. 15 m/s

D. 20 m/s

Correct Answer: B

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Question 22

A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a voltage of 50 V is applied across the circuit, what is the current flowing through the circuit?

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 5 A

Correct Answer: B

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Question 23

A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is its maximum velocity?

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 24

A parallel plate capacitor has a capaci\tance of 20 μF and is charged to a potential difference of 100 V. If the plates are separated by a dis\tance of 2 mm, what is the surface charge density?

A. 10 μC/m²

Correct B. 20 μC/m²

C. 30 μC/m²

D. 40 μC/m²

Correct Answer: B

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Question 25

A simple p\endulum of length 1 m has a mass of 0.5 kg attached to it. If the p\endulum is displaced by an angle of 30° from its equilibrium position and released, what is its angular frequency?

A. 0.5 rad/s

Correct B. 1 rad/s

C. 2 rad/s

D. 3 rad/s

Correct Answer: B

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