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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 0.200 kg/m is described by the following equation `y=0.05 sin (420t-21.0 x)`
where x and y are in metres and t is in seconds.The tension in the string is equal to :

A

`32 N`

B

`42 N`

C

`66 N`

D

`80 N`

Text Solution

Verified by Experts

The correct Answer is:
D
`V_(omega) = (omega)/(k) = (420)/(21) = 20 :. V = sqrt((T)/(mu)) = 20 rArr T = (20)^(2)mu = 20^(2) xx 0.2 = 80N`
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