Two vibrating tuning forks produce progressive waves given by , `y_(1) = 4 sin (500 pi t) and y_(2) = 2 sin (506 pi t)`. These tuning forks are held near the ear of person . The person will hear

Options

A. ` 3 beats//s` with intensity ratio between maxima and minima equal to `2`
B. ` 3 beats//s` with intensity ratio between maxima and minima equal to `9`
C. ` 6 beats//s` with intensity ratio between maxima and minima equal to `2`
D. ` 6 beats//s` with intensity ratio between maxima and minima equal to `9`

Answer

B

Explanation

`v_(1) = 250 Hz , v_(2) = 253 Hz , v_(2) - v_(1) = 3`
Now ,
`(( a_(1) + a_(2))^( 2))/((a_(1) - a_(2))^(2)) = (( 4 + 2)^(2))/(( 4 - 2)^(2)) = (36)/(4) = 9`