Question

The wave length of a travelling wave is 5m at a frequency of 12 Hertz, if there is a Crest at x=3 at a time t ,find 3 other positions of the Crest at that instant​?

A. x = 2 m
B. x = 4 m
C. x = 6 m
D. None

Answer 1

Crests of a wave with a wavelength of 5 m will be found at integer multiples of the wavelength from a given position. The positions of respectively adjacent crests are 8 m and 13 m from the given crest at x=3 m, making all the provided options incorrect.

Step-by-step explanation:

The question asks about the positions of crests of a traveling wave at a specific moment in time. Given that the original crest is at x=3 m and we know the wavelength is 5 m, we can find the position of adjacent crests by adding or subtracting multiples of the wavelength from the original crest position. The crest positions will be found at distances that are integer multiples of the wavelength from the original point.

Therefore, the adjacent crests would be at positions:

Considering the options provided in the question, none of them are correct, because the next crests would occur 5 meters apart from the given crest at x=3 m. The correct answer would be None (Option D).