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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 ((pix)/(3)) cos 40 pi t `, where x and y are in cm and t in second. The separation between two adjacent nodes is

A

3 cm

B

4 cm

C

5 cm

D

6 cm

Text Solution

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The correct Answer is:
A
` y = 5 sin . (pix)/3 cos 40 pi x t `
` :. (2 pi x)/lambda = (pi x)/3 :. lambda = 6 cm`
` :. ` The distance between two consecutive antinodes = `lambda/2`
` = 3 ` cm
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