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In (Q. 24.) if at t = 0, y = 2.5 mm, the...

In (Q. 24.) if at t = 0, y = 2.5 mm, the equation of standing wave is

A

`(2.5 mm) sin. (2pi)/(l) x cos (2pisqrt(((T)/(mul^(2)))))t`

B

`5 mm sin .(pi)/(l) x cos 2pit`

C

`5 mm sin. (2pi)/(l) x cos (2pisqrt(((T)/(mul^(2)))))t`

D

`5 mm cos. (2pi)/(l) x cos (2pisqrt(((T)/(mul^(2)))))t`

Text Solution

Verified by Experts

The correct Answer is:
C
The equation of standing wave on a string fixed both ends is
`y = 2a sin kx cos omegat`
Here, 2a = 5 mm
`k = (2pi)/(l)`
`omega=2piv=2pi sqrt(((T)/(mu l^(2))))`
`therefore " "y = (5 mm) sin. (2pi)/(l) x cos 2 pi sqrt(((T)/(mu l^(2)))t)`
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