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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 metres 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

20 N

B

7.2 N

C

30 N

D

14.4 N

Text Solution

Verified by Experts

The correct Answer is:
B
`v= omega/k = sqrt(T/(rhoS))`
`:. T = rhoS (omega/k)^2 = (8000 xx (10^-6)) (30/1)^3`
= 7.2 N
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