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The equation of a longitudinal wave is g...

The equation of a longitudinal wave is given by `y=10sin2pi(50t+(50)/(22)x)` (in S.I units). Find the value of x at which change in pressure is maximum at `t=0`.

A

0.17 m

B

0.36 m

C

0.66 m

D

0.89 m

Text Solution

Verified by Experts

The correct Answer is:
C
At `t=0,y=10sin2pi((50x)/(22))`
Change in pressure will be maximum at `y=0`
`y=0` at `((2pi)(50x))/(22)=0 ,pi,2pi,3pi`,….`100xpi`
`=(3pi)(22)`
or `x=0.66m`
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