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POST UTME BSU 2019 Physics | Objective

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Question 1

A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circular path is 3 m, calculate the magnitude of the centripetal acceleration.

A. 12 m/s^2

Correct B. 16 m/s^2

C. 20 m/s^2

D. 24 m/s^2

Correct Answer: B

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Question 2

A capacitor consists of two parallel plates, each of area 0.04 m^2, separated by a dis\tance of 0.002 m. If the capaci\tance is 8 nF, calculate the potential difference between the plates when a charge of 0.0002 C is stored on each plate.

A. 2 V

B. 4 V

C. 6 V

Correct D. 8 V

Correct Answer: D

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Question 3

A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, calculate the maximum speed of the block.

A. 2 m/s

B. 4 m/s

C. 6 m/s

Correct D. 8 m/s

Correct Answer: D

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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. If the air resis\tance is negligible, calculate 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 liquid of density 1000 kg/m^3 is flowing through a horizontal pipe with a cross-sectional area of 0.01 m^2. If the pressure difference between the two \ends of the pipe is 1000 Pa, calculate the volume flow rate of the liquid.

A. 0.01 m^3/s

B. 0.02 m^3/s

C. 0.03 m^3/s

Correct D. 0.04 m^3/s

Correct Answer: D

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Question 6

A 1000(Omega) resistor is connected in series with a 20(mu)F capacitor across a 200V AC supply. If the frequency of the supply is 50Hz, calculate the impedance of the circuit.

A. ( 1000Omega )

Correct B. ( 2000Omega )

C. ( 5000Omega )

D. ( 10000Omega )

Correct Answer: B

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Question 7

A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 1000 Bq, calculate the activity of the sample after 10 years.

A. ( 1000Bq )

B. ( 500Bq )

C. ( 250Bq )

Correct D. ( 125Bq )

Correct Answer: D

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Question 8

A block of mass 2kg is placed on a horizontal surface. If the coefficient of static friction between the block and the surface is 0.5, calculate the maximum force that can be applied to the block without cau\sing it to move.

A. ( 10N )

B. ( 20N )

Correct C. ( 30N )

D. ( 40N )

Correct Answer: C

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Question 9

A 50g mass is attached to a spring with a spring cons\tant of 100N/m. If the mass is displaced by 2cm and then released, calculate the maximum velocity of the mass.

A. $ 0.5m/s $

B. $ 1m/s $

Correct C. $ 1.5m/s $

D. $ 2m/s $

Correct Answer: C

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Question 10

A 200V AC supply is connected in parallel with a 100(Omega) resistor and a 20(mu)F capacitor. If the frequency of the supply is 60Hz, calculate the current drawn by the capacitor.

A. ( 10A )

B. ( 20A )

C. ( 30A )

Correct D. ( 40A )

Correct Answer: D

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Question 11

A parallel plate capacitor has a capaci\tance of 2.5 μF. If the potential difference between the plates is 10 V, what is the charge on the positive plate?

Correct A. 25 μC

B. 50 μC

C. 75 μC

D. 100 μC

Correct Answer: A

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Question 12

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle has a speed of 4 m/s, what is the magnitude of the centripetal force acting on the particle?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 13

A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 10 years?

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 14

A block of mass 5 kg is placed 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 15

A spring has a spring cons\tant of 100 N/m. If a force of 50 N is applied to the spring, what is the displacement of the spring?

A. 0.5 m

Correct B. 1 m

C. 1.5 m

D. 2 m

Correct Answer: B

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Question 16

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

Correct A. \frac{mv^2r}{\sqrt{k}}

B. \frac{mv^2}{\sqrt{k}}

C. \frac{mv}{\sqrt{k}}

D. \frac{mv^2}{k}

Correct Answer: A

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Question 17

A parallel-plate capacitor has a capaci\tance of $C = 2 \mu F$. If a potential difference of $V = 10 V$ is applied across the plates, what is the charge stored on each plate?

Correct A. 20 \mu C

B. 10 \mu C

C. 5 \mu C

D. 2.5 \mu C

Correct Answer: A

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Question 18

A simple harmonic motion has a period of $T = 2 s$. If the amplitude of the motion is $A = 5 cm$, what is the angular frequency $\omega$?

A. 1.57 rad/s

Correct B. 3.14 rad/s

C. 6.28 rad/s

D. 10 rad/s

Correct Answer: B

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Question 19

A gas is contained in a cylinder of volume $V = 10 L$. If the pressure of the gas is $P = 2 atm$, what is the number of moles of gas present?

A. 0.5 mol

Correct B. 1 mol

C. 2 mol

D. 5 mol

Correct Answer: B

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Question 20

A wave has a frequency of $f = 10 Hz$ and a wavelength of $\lambda = 2 m$. What is the speed of the wave?

A. 20 m/s

Correct B. 40 m/s

C. 60 m/s

D. 80 m/s

Correct Answer: B

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Question 21

A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circle is 3 m, calculate the magnitude of the centripetal force acting on the particle.

A. 6 N

B. 8 N

Correct C. 10 N

D. 12 N

Correct Answer: C

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Question 22

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. Calculate the total resis\tance of the circuit.

A. 8 Ω

B. 10 Ω

C. 12 Ω

Correct D. 14 Ω

Correct Answer: D

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Question 23

A 2 kg object is moving with a velocity of 5 m/s. If the object experiences a force of 10 N, calculate the acceleration of the object.

A. 0.5 m/s^2

B. 1 m/s^2

Correct C. 2 m/s^2

D. 5 m/s^2

Correct Answer: C

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Question 24

A capacitor consists of two parallel plates separated by a dis\tance of 2 mm. If the capaci\tance of the capacitor is 10 μF, calculate the charge stored on the capacitor when a potential difference of 5 V is applied across it.

A. 50 μC

B. 100 μC

Correct C. 200 μC

D. 500 μC

Correct Answer: C

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Question 25

A 100 W bulb is connected to a 220 V power supply. Calculate the current drawn by the bulb.

A. 0.4 A

B. 0.5 A

Correct C. 0.6 A

D. 0.8 A

Correct Answer: C

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