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UTME 2019 Physics | Objective

Are you preparing for UTME exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2019 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

The force required to make an object of mass \( m \), travelling with velocity \( v \), turn in a circle of radius \( r \) is

A. \( \frac{mr^{2}}{v} \)

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

C. \( \frac{mr}{v} \)

D. \( \frac{mv}{r^{2}} \)

Correct Answer: B

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Question 2

An ice cube floats in a glass of water filled to the brim. What happens when the ice melts?

A. There is a drop in the level of water in the glass due to condensation on its outside

Correct B. The water level remains the same

C. The water in the glass overflows

D. The level of water drops because melted ice occupies less volume

Correct Answer: B

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Question 3

A 500 kg car which was initially at rest travelled with an acceleration of \( 5 \mathrm{~m} \mathrm{sec}^{-2} \), its kinetic energy after 4 seconds was

Correct A. \( 10^{5} \mathrm{~J} \)

B. \( 2.5 \mathrm{~J} \)

C. \( 2 \times 10^{3} \mathrm{~J} \)

D. \( 5 \times 10^{3} \mathrm{~J} \)

Correct Answer: A

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Question 4

Which of the following are true of atoms?

A. Atoms are indestructible

Correct B. The number of protons equals the number of electrons

C. Atoms of different substances have different weights

D. All of the above

Correct Answer: B

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Question 5

A pressure cooker saves both time and fuel in cooking because inside the cooker, the

A. pressure is constant

Correct B. boiling point of water is raised

C. heat is completely trapped

D. temperature is evenly distributed

Correct Answer: B

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Question 6

A vapour is said to be saturated when

A. more molecules return to the liquid than leave it

B. the vapour pressure is atmospheric

Correct C. a dynamic equilibrium exists between the liquid molecules and the vapour molecules at a given temperature

D. the temperature of the vapour varies.

Correct Answer: C

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Question 7

The following types of waves are all transverse except

A. light waves

B. radio waves

C. surface waves on water

Correct D. sound waves

Correct Answer: D

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Question 8

Which of the circuits illustrated below will give a total resistance of \( 1 \Omega \) ?

Question 9

A ship travelling towards a cliff receives the echo of its whistle after 3.5 seconds. A short while later, it receives the echo after 2.5 seconds. If the speed of sound in air under the prevailing conditions is \( 250 \mathrm{~ms}^{-1} \), how much closer is the ship to the cliff?

Correct A. \( 125 \mathrm{~m} \)

B. 10 m

C. 175 m

D. 350 m

Correct Answer: A

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Question 10

For which of the underlisted quantities is the derived unit \( M L^{2} T^{2} \) correct? \( I. \) Moment of a force \(II.\) Work \(III.\) Acceleration

A. I only

B. I and II

C. III only

D. II only

Correct Answer: E

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Question 11

Radio waves have a velocity of \( 3 \times 10^{8} \mathrm{~ms}^{-1} \). A radio station sends out a broadcast on a frequency of 800 KHz . The wavelength of the broadcast is

A. 240.0 m

B. 267.0 m

Correct C. 375.0 m

D. 37.5 m

Correct Answer: C

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Question 12

The graph in the diagram above describes the motion of a particle. The acceleration of the particle during the motion is

A. \( 0.00 ms^{-2} \)

B. \( 0.25 ms^{-2} \)

C. \( 8.00 ms^{-2} \)

D. \( 4.00 ms^{-2} \)

Correct Answer: E

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Question 13

Water shows anomalous behavior

A. below \( 0^{\circ}\text{C} \)

B. above \( 100^{\circ}\text{C} \)

C. at exactly \( 4^{\circ}\text{C} \)

Correct D. between \( 0^{\circ}\text{C} \) and \( 4^{\circ}\text{C} \)

Correct Answer: D

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Question 14

A uniform metre rule QR is balanced on a knife edge which is 55 cm from R. When a mass of 10 g is hung at P as shown above, the mass of the metre rule is

A. 70 g

B. 350 g

C. 550 g

Correct D. 35 g

Correct Answer: D

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Question 15

The vacuum in a thermos flask helps to reduce heat transfer by

A. convection and radiation

Correct B. convection and conduction

C. conduction and radiation

D. radiation only

Correct Answer: B

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Question 16

Which of the following phenomena explain the formation of a mirage? \( I. \) Reflection \( II. \) Refraction \( III. \) Difraction

A. I and III only

Correct B. II and III only

C. I and II only

D. I, II and III

Correct Answer: B

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Question 17

An object is placed \( 5.6 \times 10^{-4} \mathrm{~m} \) in front of a converging lens of focal length \( 1.0 \times 10^{-n} m \). The image formed is

A. real, erect and magnified

B. virtual, erect and diminished

Correct C. real, inverted and magnified

D. virtual, erect and magnified

Correct Answer: C

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Question 18

A bar of initial length \( l_{0} \) is heated through a temperature change \( \Delta t \) to a new length \( l \). The linear expansivity, \( \alpha \), of the bar is

A. \( \overline{l \Delta t} \)

Correct B. \( \frac{l-l_{0}}{l_{0} \Delta t} \)

C. \( l_{0}(1+\Delta 1) \)

D. \( \frac{l-l_{0}}{l(1+\Delta \mathrm{t}) } \)

Correct Answer: B

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Question 19

A moving coil galvanometer of \( 300 \Omega \) resistance gives full scale deflection for 1.0 mA. The resistance, R, of the shunt that is required to convert the galvanometer into a 3.0 A ammeter is

A. \( 899.70 \Omega \)

Correct B. \( 0.10 \Omega \)

C. \( 10.00 \Omega \)

D. \( 0.01 \Omega \)

Correct Answer: B

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Question 20

Which of the following arrangements of the components of electromagnetic spectrum is in ascending order of wavelengths?

A. Gamma rays, ultraviolet rays, x-rays, infra-red rays

B. infra-red rays, ultraviolet rays, x-rays, gamma rays

Correct C. Gamma rays, x-rays, ultraviolet rays, infra-red rays

D. Gamma rays, ultraviolet rays, infrared rays, x-rays

Correct Answer: C

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Question 21

An aeroplane lands on a runway at a speed 180\( \mathrm{kmh}^{-1} \) and is brought to a stop uniformly in 30 s. What distance does it cover on the runway coming to rest?

A. 360 m

B. 540 m

C. 957 m

Correct D. 750 m

Correct Answer: D

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Question 22

In the circuit diagram, calculate the current through the \( 12-\Omega \) resistor if the e.m.f. is 12 V and the internal resistance is 1 \( \Omega \).

Correct A. 2.4 A

B. 1.0 A

D. 0.8 A

Correct Answer: A

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Question 23

The value of the tension T in the cables supporting the 20 N weight in the diagram is

A. 10.0 N

B. 40.0 N

Correct C. 20.0 N

D. 111.8 N

Correct Answer: C

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Question 24

At what respective values of \( x, y \) and \( z \) would the dimensions of force, the newton, be dimensionally equivalent to \( \mathrm{M}^{\mathrm{x}} \mathrm{L}^{\mathrm{y}} \mathrm{T}^{\mathrm{z}} \) ?

A. -1,1,2

B. 1,-1,2

Correct C. 1,1,-2

D. -1,1,-2

Correct Answer: C

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Question 25

A 500 W heater is used to heat 0.6 kg of water from \( 25^{\text{°C}} \) to \( 100^{\text{°C}} \) in \( t_{1} \) seconds. If another 1000 W heater is used to heat 0.2 kg of water from \( 10^{\text{°C}} \) to \( 100^{\text{°C}} \) in \( t_{2} \) seconds, find \( t_{1} \)

A. 50

B. \( \frac{1}{5} \)

C. 5

Correct D. 10

Correct Answer: D

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