Question

A rope is vibrating with frequency 20 Hz. If the velocity of the wave in the rope is $20m{s}^{-1}$, then the distance between a crest and the successive trough is ................

• A. 0.5 m
• B. 1.5 m
• C. 2 m
• D. 1 m

Answer 1

The correct option is A 0.5 m

Since v = 20 m/s and frequency = 20 Hz, we have wavelength = 20/ 20 = 1 m.
The distance between one crest and one trough is half of wave length. So the distance will be 1/2 m = 0.5 m