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The equation of stationary wave along a ...

The equation of stationary wave along a stretched string is given by `y = 5 sin(pi/3 x) cos 40pi t` where x and y are in centimetre and t in second. The separation between two adjacent nodes is :

A

`126 cm`

B

`160 cm`

C

`40 cm`

D

`80 cm`

Text Solution

Verified by Experts

The correct Answer is:
C
`K = 0.025 pi = (2pi)/(lambda) lambda = (2cm)/(0.025)`
Required length `= (lambda)/(2) = (1)/(0.025) = 40 cm`
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