WAEC Physics Past Questions & Answers - Page 50

246.

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 answer is 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.

247.

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 answer is 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

248.

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 answer is A

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

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

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

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

\(\approxeq 41.8°\)

249.

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

A.

interference

B.

dispersion

C.

refraction

D.

diffraction

Correct answer is 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.

250.

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

A.

Acceleration

B.

Speed

C.

Amplitude

D.

Wavelength

Correct answer is 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.