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POST UTME IGBINEDION UNIVERSITY 2018 Physics | Objective

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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, what is the new centripetal force $F_c'$?

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

B. \frac{mv^2}{2r}

C. \frac{mv^2}{r}

D. \frac{mv^2}{4r}

Correct Answer: A

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Question 2

A block of mass $m$ is placed on a frictionless surface and connected to a horizontal spring with a force cons\tant $k$. The block is displaced from its equilibrium position by a dis\tance $x$ and released from rest. Assuming the block undergoes simple harmonic motion, what is the maximum speed $v_{max}$ of the block?

Correct A. \frac{\sqrt{k}}{m}x

B. \frac{\sqrt{k}}{m}x^2

C. \frac{\sqrt{k}}{m}x^3

D. \frac{\sqrt{k}}{m}x^4

Correct Answer: A

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Question 3

A car travels from point A to point B with a cons\tant acceleration $a$. If the car's initial velocity is $v_i$ and its final velocity is $v_f$, what is the time $t$ it takes for the car to travel from point A to point B?

A. \frac{v_f + v_i}{a}

Correct B. \frac{v_f - v_i}{a}

C. \frac{v_f^2 - v_i^2}{a}

D. \frac{v_f^2 + v_i^2}{a}

Correct Answer: B

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Question 4

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

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

B. \frac{mv^2}{r^2}

C. \frac{mv^2}{r^3}

D. \frac{mv^2}{r^4}

Correct Answer: A

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Question 5

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

A. \frac{mv}{r}

Correct B. \frac{mv^2}{r}

C. \frac{mv^3}{r}

D. \frac{mv^4}{r}

Correct Answer: B

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Question 6

A particle of mass 2 kg is moving in a circular orbit of radius 3 m with a speed of 4 m/s. If the particle is subjected to a uniform magnetic field of 2 T, what is the magnitude of the magnetic force acting on the particle?

A. ( 8 pi ) N

Correct B. ( 16 pi ) N

C. ( 24 pi ) N

D. ( 32 pi ) N

Correct Answer: B

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Question 7

A gas occupies a volume of 2 m³ at a pressure of 1 atm. If the pressure is increased to 2 atm, what is the new volume of the gas?

A. ( 1 ) m³

Correct B. ( 2 ) m³

C. ( 3 ) m³

D. ( 4 ) m³

Correct Answer: B

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Question 8

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 9

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

A. ( 50 ) μC

Correct B. ( 100 ) μC

C. ( 150 ) μC

D. ( 200 ) μC

Correct Answer: B

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Question 10

A resistor of 10 Ω is connected in series with an inductor of 5 H and a capacitor of 2 μF. If an alternating current of 2 A flows through the circuit, what is the impedance of the circuit?

A. ( 12 ) Ω

B. ( 15 ) Ω

Correct C. ( 18 ) Ω

D. ( 20 ) Ω

Correct Answer: C

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Question 11

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

A. 10 N

B. 12 N

Correct C. 16 N

D. 20 N

Correct Answer: C

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Question 12

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in the positive x-direction, what is the direction of the particle velocity?

Correct A. in the positive x-direction

B. in the negative x-direction

C. perp\endicular to the wave

D. in the positive y-direction

Correct Answer: A

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Question 13

A coil of wire has a resis\tance of 10 Ω and an induc\tance of 0.5 H. If a current of 2 A is flowing through the coil, what is the magnitude of the induced emf?

A. 5 V

Correct B. 10 V

C. 15 V

D. 20 V

Correct Answer: B

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Question 14

A gas is heated from 300 K to 400 K. If the volume of the gas is doubled, what is the new pressure?

A. 1 atm

Correct B. 1.5 atm

C. 2 atm

D. 3 atm

Correct Answer: B

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Question 15

A block of mass 5 kg is attached to a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position, what is the magnitude of the force exerted by the spring?

A. 10 N

B. 15 N

Correct C. 20 N

D. 25 N

Correct Answer: C

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Question 16

A wave has a frequency of 60 Hz and a wavelength of 0.3 m. If the wave is traveling in the positive x-direction, what is the direction of the particle velocity?

Correct A. in the positive x-direction

B. in the negative x-direction

C. perp\endicular to the wave

D. in the positive y-direction

Correct Answer: A

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Question 17

A coil of wire has a resis\tance of 15 Ω and an induc\tance of 0.8 H. If a current of 3 A is flowing through the coil, what is the magnitude of the induced emf?

A. 5 V

B. 10 V

Correct C. 12 V

D. 15 V

Correct Answer: C

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Question 18

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 nF, find the charge on the plates.

A. 160 nC

Correct B. 320 nC

C. 640 nC

D. 1280 nC

Correct Answer: B

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Question 19

A gas at 300 K expands from 1.0 L to 2.0 L against a cons\tant external pressure of 1.0 atm. Calculate the work done by the gas.

Correct A. -2.0 J

B. -1.0 J

C. 1.0 J

D. 2.0 J

Correct Answer: A

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Question 20

A block of mass 2.0 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. The block is displaced by 0.10 m from its equilibrium position and released from rest. Calculate the maximum speed of the block.

A. 1.0 m/s

B. 2.0 m/s

Correct C. 4.0 m/s

D. 8.0 m/s

Correct Answer: C

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Question 21

A magnetic field of magnitude 0.50 T is directed perp\endicular to a plane containing a current of 2.0 A. Calculate the force on a straight wire of length 1.0 m and mass 0.10 kg.

A. 0.10 N

B. 0.20 N

Correct C. 0.50 N

D. 1.0 N

Correct Answer: C

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Question 22

A light ray passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.

A. 20°

B. 30°

Correct C. 40°

D. 50°

Correct Answer: C

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Question 23

A 10 V battery is connected to a 2 kΩ resistor in series with a 4 kΩ resistor. Calculate the current in the circuit.

A. 0.50 mA

Correct B. 1.0 mA

C. 2.0 mA

D. 4.0 mA

Correct Answer: B

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Question 24

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

A. 1.0 atm

B. 2.0 atm

Correct C. 3.0 atm

D. 4.0 atm

Correct Answer: C

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Question 25

A 0.50 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. The block is displaced by 0.10 m from its equilibrium position and released from rest. Calculate the frequency of the block.

A. 1.0 Hz

B. 2.0 Hz

C. 4.0 Hz

D. 8.0 Hz

Correct Answer: VIEW ANSWER

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