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UTME 2020 Physics | Objective

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Question 1

A few grains of table salt were put in a cup of cold water, kept at constant temperature and left undisturbed. Eventually all the water tasted salty. This action is due to

A. convection

B. osmosis

C. capillarity

Correct D. diffusion

Correct Answer: D

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Question 2

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

Correct A. \( \frac{m v^{2}}{r} \)

B. \( \frac{m r^{2}}{r} \)

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

D. \( \frac{m v}{r^{2}} \)

Correct Answer: A

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Question 3

A machine gun with a mass of 5 kg fires a 50 g bullet at a speed of 100 \( ms^{-1} \). The recoil speed of the machine gun is

A. \( 0.5 m s^{-1} \)

B. \( 1.5 m s^{-1} \)

Correct C. \( 1 m s^{-1} \)

D. \( 2 ms^{-1} \)

Correct Answer: C

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Question 4

If in a simple pendulum experiment the length of the inextensible string is increased by a factor of four, its period is increased by a factor of

A. 4

B. \( \frac{\pi}{2} \)

C. \( \frac{1}{4} \)

Correct D. 2

Correct Answer: D

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Question 5

In what range of temperature is the expansion of water anomalous?

A. \( +208^{\circ} C \) to \( +212^{\circ} C \)

B. -\( 80^{\circ} \) C to -\( 76^{\circ} \) C

Correct C. \( 0^{\circ} C \) to \( +4^{\circ} C \)

D. \( -4^{\circ} C \) to \( 0^{\circ} C \)

Correct Answer: C

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Question 6

Which of the following statements about radioactivity is true? \( i. \) Alpha particle is positively charged \( ii. \) Beta Particle is negatively charged \( iii. \) Gamma Ray is nuetral \( iv. \) Beta particle has the same mass as helium atom \( v. \) Gamma Ray is charged

A. i, ii, iii, iv only

Correct B. i, ii, iii only

C. iv and v only

D. i, ii and v only

Correct Answer: B

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Question 7

In the study of Physics, temperature and heat are often confused with each other. Which of the following statements correctly defines these two elements?

A. Temperature is a measure of the average kinetic energy of the molecules of a substance

B. Heat is a measure of the total kinetic energy of the molecules in a system

C. Different materials require different amounts of heat to cause a given change in temperature

Correct D. All of the above

Correct Answer: D

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Question 8

The effect of closing the key K in the circuit shown in Fig. 1 would be to

Correct A. increase the current by 0.4 A

B. reduce the current by 0.4 A

C. increase the current by 0.6 A

D. reduce the current by 0.6 A

Correct Answer: A

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Question 9

Which of the following statements on the use of X-rays is incorrect? X-rays are used

A. In hospitals to obtain photographs of tissues and bones in the body

Correct B. In detecting fingerprints

C. To reveal hidden flaws in metal castings and welded joints

D. In works of art

Correct Answer: B

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Question 10

In the above diagram MN is perpendicular to ON and MP. What is the difference between the moment about N of the force of 20 newtons applied along MP and its moment about O?

A. Zero

B. 0.2 N m

C. 0.4 N m

D. 0.8 N m

Correct Answer: E

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Question 11

Natural radioactivity consists of the emission of

A. \( \alpha \)-particles and \( \beta\)-rays

B. \( \alpha \)-particles and X-rays

C. \( \gamma \)-rays and X-rays

Correct D. \( \alpha \)-particles, \( \beta \)-rays and \( \gamma \)-rays

Correct Answer: D

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Question 12

If a source of sound is moving, a stationary listener will hear a sound of different frequency. This is called

Correct A. doppler effect

B. resonance

C. ultra sound

D. rarefaction

Correct Answer: A

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Question 13

Which of the following can be described as high tension transmission?

A. High resistance and low voltage

Correct B. Low current and high voltage

C. High current and low voltage

D. High current and low resistance

Correct Answer: B

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Question 14

What is the cost of running five 50 W lamps and four 100 W lamps for 10 hours if electrical energy costs 2 kobo per kWh?

A. N0. 65

B. N 0.39

C. N3.90

Correct D. N0.13

Correct Answer: D

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Question 15

The mass of a proton is approximately equal to that of

A. an \( \alpha \)-particle

B. a \( \beta \)-particle

Correct C. a neutron

D. an electron

Correct Answer: C

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Question 16

A transformer has 300 turns of wire in the primary coil and 30 turns in the secondary coil. If the input voltage is 100 volts, the output voltage is

A. 5 volts

Correct B. 10 volts

C. 15 volts

D. 20 volts

Correct Answer: B

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Question 17

A solid weighs 4.8 g in air, 2.8 g in water and 3.2 g in kerosine. The ratio of density of the solid to that of the kerosine is

A. 2

B. \( \frac{3}{2} \)

C. \( \frac{2}{3} \)

Correct D. 3

Correct Answer: D

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Question 18

One of the following readings represents the measurement of the length of a metal rod using vernier callipers. Taking the reading accuracy into consideration, the most likely one is

Correct A. 5.16 cm

B. 5.165 cm

C. 5.0 cm

D. 5.160 cm

Correct Answer: A

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Question 19

When a sound wave passes from air into water its

A. speed and frequency increase but its wavelength remains the same

Correct B. speed and wavelength increase but its frequency remains the same

C. speed decreases

D. speed increases but its frequency and wavelength decrease

Correct Answer: B

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Question 20

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

Question 21

A convex mirror is used as a driving mirror because I. Its image is erect II. It has a large field of view III. It has a long focal length. Identify the CORRECT statement(s).

A. I and III only

Correct B. I and II only

C. II and III only

D. I, II and III only

E. I only

Correct Answer: B

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Question 22

Two mirrors of the same length are arranged as shown in the diagram (Fig. 4). A ray of light NO strikes the system at O and emerges along PQ. The emergent ray has been deviated through

A. \( 220^{\circ} \)

Correct B. \( 200^{\circ} \)

C. \( 210^{\circ} \)

D. \( 180^{\circ} \)

Correct Answer: B

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Question 23

A magnetic needle is suspended first at the earth's north magnetic pole and then at a point on the magnetic equator. The respective angles between the needle and the horizontal are

A. \( 0^{\circ} \) and \( 0^{\circ} \)

B. \( 60^{\circ} \) and \( 60^{\circ} \)

C. \( 90^{\circ} \) and \( 90^{\circ} \)

Correct D. \( 90^{\circ} \) and \( 0^{\circ} \)

Correct Answer: D

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Question 24

A hydrometer is an instrument for measuring the

A. depth of water in a vessel

Correct B. relative density of a liquid by the method of flotation

C. relative density of a liquid by finding the apparent loss in weight

D. relative humidity of the air

Correct Answer: B

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Question 25

Consider the three forces acting at O and in equilibrium as shown in Fig. 5. Which of the following equations is/are CORRECT? I. \( P_{1} \, \cos \, \theta_{1}=P_{1} \, \cos \, \theta_{2} \quad \) II. \( P_{3}=P_{1} \cos \theta_{1}+P_{2} \cos \theta_{2} \) III. \( P_{1} \sin \theta_{1}=P_{2} \sin \theta_{2} \)

A. I only

Correct B. II only

C. III only

D. I, II and III only

Correct Answer: B

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