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A transverse periodic wave on a string w...

A transverse periodic wave on a string with a linear mass density of `0.200kg//m` is described by the following equation `y=0.05sin(420t-21.0x)` Where x and y are in metres and t is in seconds. The tension in the string is equal to

A

`32N`

B

`42N`

C

`66N`

D

`80N`

Text Solution

Verified by Experts

The correct Answer is:
D
`V=sqrt((T)/(lamda))=(omega)/(k)`
`impliesT=(omega^2lamda)/(k^2)=((420)/(21))^2xx0.2=80N`
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