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A) 3 cm and 9 cm
B) 4 cm and 2 cm
C) 2 cm and 4 cm
D) 9 cm and 3 cm
Correct Answer: C
Solution :
The maximum height of a crest or a trough is known as the amplitude of a wave. The maximum heights of waves I and II are\[\left( \frac{10}{2} \right)=5cm\]and 7 cm respectively. Hence, the difference in amplitudes of the two given waves is\[(75=)2\text{ }cm\]. The distance between two consecutive crests or troughs is known as the wavelength of a wave. The wavelength of wave II is 14 cm. Wavelength is also twice the maximum width of a crest or trough. Hence, the wavelength of wave I is\[(2\times 5=)10\text{ }cm.\]Therefore, the difference between the wavelengths of the two given waves is (14 ?10 =) 4 cm. The correct answer is C.
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