Two waves `y_(1) = A cos (0.5 pi x - 100 pi t)` and `y_(2) = A cos (0.46 pi x - 92 pi t)` are travelling in a pipe placed along the `x ` - axis. Find wave velocity of louder soundA. `100`B. `46`C. `192`D. `96`

Two waves `y_(1) = A cos (0.5 pi x - 100 pi t)` and `y_(2) = A cos (0.

1.	Two waves `y_(1) = A cos (0.5 pi x - 100 pi t)` and `y_(2) = A cos (0.46 pi x - 92 pi t)` are travelling in a pipe placed along the `x ` - axis. Find wave velocity of louder soundA. `100`B. `46`C. `192`D. `96`
Answer» Correct Answer - A At `x = 0` `y = y_(1) + y_(2) = A cos (100 pi t) + A cos ( 92 pi t)` `rArr y = 2 A cos ( 96 pi t) sin ( 4 pi t)` for `y = 0` , we have `sin ( 4 pi t) = 0` `rArr t = (n)/(4)` `rArr t = 0 , (1)/(4) , (2)/(4) , (3)/(4) ,(4)/(4) "in" 1 s` This is ` 5` times also for `y = 0` , we have `cos ( 96 pi t) = 0` `rArr 96 pi t = (( 2m - 1) pi)/( 2)` `rArr t = ( 2m - 1)/( 192)` `rArr t = (1)/(192) , (3)/(192) ,....,(191)/(192)` This is `95` times. So the total number of times , the value of `y = zero is 100`.

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Two waves `y_(1) = A cos (0.5 pi x - 100 pi t)` and `y_(2) = A cos (0.46 pi x - 92 pi t)` are travelling in a pipe placed along the `x ` - axis. Find wave velocity of louder soundA. `100`B. `46`C. `192`D. `96`

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