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The equation of a transverse wave propag...

The equation of a transverse wave propagating in a string is given by
`y = 0.02 sin (x + 30t)`
where, `x and y` are in second.
If linear density of the string is `1.3 xx 10^(-4)kg//m`, then the tension in the string is

A

0.12 N

B

1.2 N

C

12 N

D

120 N

Text Solution

Verified by Experts

The correct Answer is:
A
`y=0.02sin(x-30t)implies C=(omega)/(k)=30m//s`
`C=sqrt((T)/(mu)) implies 900mu=T implies T=900xx1.3xx10^(-4)N=11.7xx10^(-2)N=0.117N`.
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