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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 kg `m^(-1)` is given by `y=0.02(m)sin[2pi((t)/(0.04(s))-(x)/(0.50(m)))]`. The tension in the string is

A

`4.0 N`

B

`12.5 N`

C

`0.5 N`

D

`6.25 N`

Text Solution

Verified by Experts

The correct Answer is:
4
By equation
`f = (1)/(0.04)` and `lambda = 0.5`
`rArr V = (1)/(0.04) xx 0.5 = (25)/(2)`
by `V = sqrt((T)/(mu)) rArr ((25)/(2))^(2) = (T)/(0.04) rArr T = (625)/(4) xx 0.04`
`T = 6.25 N`
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