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The equation of a wave travelling in a s...

The equation of a wave travelling in a string can be written as y = `3 cos {pi (100 t - x)}` where y and x are in cm and t is in seconds . Then the value of wavelength is ………… .

A

100 cm

B

2 cm

C

50 cm

D

4 cm

Text Solution

Verified by Experts

The correct Answer is:
B
2 cm
On comparing given equation with `y = A cos (kx - omega t)` , we get
`lambda = (2pi)/(k) = (2pi)/(pi) = 2 cm " " [ therefore k = pi]`
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