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A transverse wave described by equation ...

A transverse wave described by equation `y=0.02sin(x+30t)` (where x and t are in meters and seconds, respectively) is travelling along a wire of area of cross-section `1mm^2` and density `8000kg//m^(2)`. What is the tension in the string?

A

`20N`

B

`7.2N`

C

`30N`

D

`14.4N`

Text Solution

Verified by Experts

The correct Answer is:
B
`y=0.02 sin (x+30t)`
for the given wave `:`
`v=(dx)/(dt)=-30`
`( :' x=30t=` constant `)`
we have `: v=sqrt((T)/(mu))rArr T=muv^(2)=A.rho V^(2)`
`=(10^(-6)m^(2))(8xx10^(3)(kg)/(m^(3)))(30)^(2)`
`rArr T=7.2N Ans.`
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