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Stading waves are produced by the super...

Stading waves are produced by the superposition of two waves give by `y_(1) 0.4 sin 2pi ((t)/(0.6)-(x)/(0.3)) and y_(2)=0.4 sin 2 pi ((t)/(0.6) +(x)/(0.3))` where all the quantities are expressed in SI units. What is the amplitude of a particle at `x=0.5m` ?

A

`0.2 m`

B

`0.3 m`

C

`0.4 m`

D

`0.5m`

Text Solution

Verified by Experts

The correct Answer is:
C
`R = 2 A cos .(2 pi x)/lambda = 2 xx 0.4 cos [(2pi xx 0.05)/(0.3)]`
` = 0.8 cos [2pi xx 5/100 xx 10/3] = 0.8 cos. pi/3 = 0.8 xx 1/2`
` = 0 . 4` m
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