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The equation of a transverse wave travel...

The equation of a transverse wave travelling along a string is given by `y = 5 cos pi (100t - x)cm`. Its wavelength is

A

10 cm

B

5 cm

C

3 cm

D

2 cm

Text Solution

Verified by Experts

The correct Answer is:
D
`y = 5 cos pi [100 t-x] = 5 cos [100 pi t - pi x]`
`Kx = (2pi)/(lamda) x = pi x :. Lamda = 2cm`
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Knowledge Check

  • The equation of a transverse wave travelling along a string is given by y=0.4sin[pi(0.5x-200t)] where y and x are measured in cm and t in seconds. Suppose that you clamp the string at two points L cm apart and you observe a standing wave of the same wavelength as above transverse wave. For what values of L less than 10 cm is this possible?

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