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A wave in a string has an amplitude of 2...

A wave in a string has an amplitude of `2 cm`. The wave travels in the `+ve` direction of x axis with a speed of 1`28 ms^-1` and it is noted that `5` complete waves fit in `4 m` length of the string. The equation describing the wave is

A

`y=(0.02)msin(7.85+1005t)`

B

`y=(0.02)msin(15.7x-2010t)`

C

`y=(0.02)msin(15.7x+2010t)`

D

`y=(0.02)msin(7.85-1005t)`

Text Solution

Verified by Experts

The correct Answer is:
D
`5lambda=4implieslambda=0.8`, `T=(lambda)/(V)=(0.8)/(128)`
Required eq is `y=asin((2pi)/(lambda)x-(2pi)/(T)t)`
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