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The equation of a wave on a string of li...

The equation of a wave on a string of linear mass density `0.04 kgm^(-1)` is given by
`y = 0.02(m) sin[2pi((t)/(0.04(s)) -(x)/(0.50(m)))]`.
Then tension in the string is

A

6.25 N

B

4.0 N

C

12.5 N

D

0.5 N

Text Solution

Verified by Experts

The correct Answer is:
A
`y=0.2sin[2pi((t)/(0.04)-(x)/(0.50))]`
`v=sqrt((T)/(m))=(omega)/(k)rArr sqrt((T)/(0.04))=((1)/(0.04))/((1)/(0.50))`
`T=((0.50)/(0.04))^(2)xx0.04=6.25N`.
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