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For a stationary wave, t = 8 sin ((pix)/...

For a stationary wave, `t = 8 sin ((pix)/(20)) cos (50 pit)`. What is the distance between two successive antinode ?

A

15 cm

B

20 cm

C

25 cm

D

30 cm

Text Solution

Verified by Experts

The correct Answer is:
b

`Y = 8 sin ((pix)/20) cos (50pit)`
`= 8 sin ((2pix)/40)cos (50pit)`
Comparing with the standard equation, we get,
`(2pix)/(lambda) = (2pix)/40`
`therefore = lambda = 40` cm
`therefore` Distance between two sucessive antinodes
`= lambda/2 = 20` cm
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-STATIONARY WAVES -EXERCISE 1
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