2017 - WAEC Physics Past Questions and Answers - page 3

21

A vapour whose molecules are in dynamic equilibrium with those of its own liquid is said to be

A
unsaturated
B
gaseous
C
saturated
D
diffused
correct option: c

A saturated vapour is one which is in a dynamic equilibrium with its own liquid.

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22

The diagram above illustrates two waves of equal amplitudes A and frequencies approaching each other. When the two waves meet at a point I midway between them, the vertical displacement of the resulting wave will be

A
0
B
\(\frac{A}{2}\)
C
\(\frac{A}{4}\)
D
\(2A\)
correct option: d

This is a type of constructive interference. When two waves of equal amplitude are interfering constructively, the resulting amplitude is twice as large as the amplitude of an individual wave.

= A + A = 2A

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23

A rainbow is formed when sunlight is incident on water droplets suspended in the air due to

A
interference
B
refraction
C
dispersion
D
diffraction
correct option: c
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24

Which of the following statements about the 3rd overtone of a vibrating air column of an open pipe is correct? It has

A
4 nodes
B
5 nodes
C
3 antinodes
D
4 antinodes
correct option: a

The 3rd overtone for an open pipe has 5 antinodes and 4 nodes.

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25

Consider the wave equation:  \(y =  10sin(x - 50t)\), What does the number 10 represent?

A
Acceleration
B
Speed
C
Amplitude
D
Wavelength
correct option: c

Comparing the given equation with the wave equation:

\(Asin(kx - \omega t)\), we have that A = 10 which is the amplitude of the wave.

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26

Plane waves through a narrow gap emerge as circular waves. This phenomenon is known as

A
interference
B
dispersion
C
refraction
D
diffraction
correct option: d

Diffraction refers to the various things that occur when a wave encounters an obstacle. This bending of the wave after it passes a small gap is an example of diffraction.

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27

A ray of light incident at an angle \(\theta\) in a rectangular prism grazes the surface of the prism on emerging from the prism. Determine the value of the angle. [Absolute refractive index of the material of the prism is 1.5] 

A
41.8°
B
48.2°
C
60.8°
D
90.0°
correct option: a

\(\eta = \frac{1}{sin\theta}\)

\(1.5 = \frac{1}{sin\theta}\)

\(sin\theta = \frac{1}{1.5} = 0.667\)

\(\theta = sin^{-1}(0.667) = 41.835°\)

\(\approxeq 41.8°\)

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28

The diagram above illustrates a wave setup between two fixed ends 4.0m apart. If the speed of the wave is 1.0\(ms^{-1}\), its wavelength and frequency respectively are

A
1m; 0.25Hz
B
2m; 0.25Hz
C
2m; 0.50Hz
D
4m; 0.50Hz
correct option: c

For the 4th harmonic, \(L = 2\lambda\)

\(4m = 2\lambda \implies \lambda = \frac{4m}{2}\)

=\(2m\)

Recall, \(v = f\lambda\)

\(1 = f \times 2 \implies f = \frac{1}{2}\)

= 0.50Hz

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29

Two plane mirrors are inclined at an angle 20° to each other. Determine the number of images formed when an object is placed between them.

A
17
B
18
C
19
D
20
correct option: a

The number of images formed = \(\frac{360}{n}\) where the value gotten is odd

else, = \(\frac{360}{n} -1\).

Solving, we have that \(\frac{360}{20} = 18\)

Hence, the no of images formed is 18 - 1 = 17.

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30

A converging lens of focal length 10cm forms an erect image three times the size of the real object. Calculate the distance between the image and the object.

A
6.6cm
B
11.1cm
C
13.3cm
D
20.0cm
correct option: c

Given, image size = 3U

object size = U

focal length = 10cm

lens to object distance = \(\frac{focal length \times object size}{image size}\)

= \(\frac{10 \times u}{3u} = 3.33\)

distance between image and object = 10 + 3.33 = 13.33cm

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