Practice post utme igbinedion university physics 2017 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 is subjected to a uniform magnetic field of 2 T directed perp\endicular to the plane of the circle, what is the magnitude of the magnetic force acting on the particle?

Correct A. 6 N

B. 8 N

C. 10 N

D. 12 N

Correct Answer: A

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Question 2

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 3

A particle of mass 1 kg is projected from the origin with an initial velocity of 10 m/s at an angle of 60° above the horizontal. What is the time of flight?

A. 2 s

Correct B. 3 s

C. 4 s

D. 5 s

Correct Answer: B

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Question 4

A circuit consists of a 2 Ω resistor and a 3 Ω resistor connected in parallel. If a voltage of 6 V is applied across the circuit, what is the current through the 2 Ω resistor?

Correct A. 1 A

B. 2 A

C. 3 A

D. 4 A

Correct Answer: A

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Question 5

A light ray passes through a convex lens of focal length 20 cm. If the object dis\tance is 30 cm, what is the image dis\tance?

A. 10 cm

Correct B. 20 cm

C. 30 cm

D. 40 cm

Correct Answer: B

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Question 6

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 velocity is $v$, what is the total energy of the particle?

A. $\frac{1}{2}mv^2 + \frac{k}{R}$

Correct B. $\frac{1}{2}mv^2 - \frac{k}{R}$

C. $\frac{1}{2}mv^2 + \frac{k}{R}$

D. $\frac{1}{2}mv^2 - \frac{k}{R^2}$

Correct Answer: B

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Question 7

A parallel plate capacitor has a capaci\tance of $C$ and is charged to a potential difference of $V$. If the dis\tance between the plates is doubled, what is the new capaci\tance?

Correct A. $\frac{C}{2}$

B. $C$

C. $2C$

D. $4C$

Correct Answer: A

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Question 8

A wave of frequency $f$ and wavelength $\lambda$ is propagating through a medium. If the speed of the wave is $v$, what is the wave number?

Correct A. $\frac{2\pi}{\lambda}$

B. $\frac{2\pi f}{v}$

C. $\frac{2\pi v}{\lambda}$

D. $\frac{2\pi f}{\lambda}$

Correct Answer: A

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Question 9

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 velocity is $v$, what is the angular momentum?

Correct A. $mRv$

B. $\frac{mRv}{2}$

C. $\frac{mR^2v}{2}$

D. $\frac{mRv^2}{2}$

Correct Answer: A

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Question 10

A parallel plate capacitor has a capaci\tance of $C$ and is charged to a potential difference of $V$. If the dis\tance between the plates is doubled, what is the new potential difference?

Correct A. $\frac{V}{2}$

B. $V$

C. $2V$

D. $4V$

Correct Answer: A

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Question 11

A light ray is incident on a glass slab at an angle of 45°. If the re\fractive index of the glass is 1.5, calculate the angle of re\fraction.

Correct A. 30°

B. 45°

C. 60°

D. 75°

Correct Answer: A

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Question 12

A particle is projected at an angle of 60° to the horizontal with an initial velocity of 20 m/s. If the acceleration due to gravity is 9.8 m/s², calculate the time taken for the particle to reach its maximum height.

A. 1.5 s

Correct B. 2 s

C. 2.5 s

D. 3 s

Correct Answer: B

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Question 13

A liquid of density 800 kg/m³ is flowing through a horizontal pipe of radius 0.05 m. If the pressure difference between the two \ends of the pipe is 2000 Pa, calculate the volume flow rate.

A. 0.01 m³/s

Correct B. 0.02 m³/s

C. 0.03 m³/s

D. 0.04 m³/s

Correct Answer: B

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Question 14

A body of mass 5 kg is moving with a velocity of 10 m/s. If the force applied to the body is 20 N, calculate the acceleration produced.

A. 2 m/s²

B. 4 m/s²

Correct C. 6 m/s²

D. 8 m/s²

Correct Answer: C

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Question 15

A gas is heated from 300 K to 400 K. If the specific heat capacity of the gas is 1000 J/kg·K, calculate the change in internal energy.

A. 1000 J

Correct B. 2000 J

C. 3000 J

D. 4000 J

Correct Answer: B

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Question 16

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^-12 F, what is the value of the dielectric cons\tant?

A. 2.0

Correct B. 3.0

C. 4.0

D. 5.0

Correct Answer: B

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Question 17

A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. What is the speed of the sound wave?

A. 100 m/s

Correct B. 200 m/s

C. 300 m/s

D. 400 m/s

Correct Answer: B

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Question 18

A body of mass 2 kg is moving with a velocity of 5 m/s. What is the work done by the body in moving 10 m?

Correct A. 20 J

B. 30 J

C. 40 J

D. 50 J

Correct Answer: A

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Question 19

A heat engine operates between the temperatures 300 K and 400 K. What is the efficiency of the engine?

A. 20%

Correct B. 30%

C. 40%

D. 50%

Correct Answer: B

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Question 20

A capacitor has a capaci\tance of 10^-6 F and is charged to a potential difference of 10 V. What is the energy stored in the capacitor?

Correct A. 10^-5 J

B. 10^-4 J

C. 10^-3 J

D. 10^-2 J

Correct Answer: A

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Question 21

A sound wave with a frequency of 200 Hz is emitted from a source moving towards a stationary observer. If the speed of sound in air is 343 m/s, what is the apparent frequency heard by the observer?

A. 220 Hz

B. 240 Hz

Correct C. 260 Hz

D. 280 Hz

Correct Answer: C

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Question 22

A beam of light 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 23

A capacitor consists of two parallel plates, each of area 0.01 m², separated by a dis\tance of 0.001 m. If the dielectric cons\tant of the material between the plates is 3, what is the capaci\tance?

A. 10 nF

B. 20 nF

Correct C. 30 nF

D. 40 nF

Correct Answer: C

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Question 24

A particle of mass 2 kg is moving in a circular path of radius 3 m with 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 25

A light ray passes through a prism of angle 60° and is deviated by 30°. What is the angle of emergence?

A. 30°

B. 45°

C. 60°

Correct D. 75°

Correct Answer: D

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