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For a transverse wave travelling along a straight line, the distance between two peaks (crests) is 5m, while the distance between one crest and one trough is 1.5 m. The possible wavelengths (in m) of the waves are

1. 1, 2, 3,....
2. 1/1, 1/3, 1/5,....
3. 1/2, 1/4, 1/6,....
4. 1, 3, 5,....

Correct answer: 1/1, 1/3, 1/5,....

Solution

The correct option represents the wavelengths of the wave in terms of fractions, which are consistent with the relationship between the distance between crests and troughs. Since the distance between a crest and a trough is half the wavelength, the possible wavelengths must be in the form of fractions that reflect this relationship.

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