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Two vibrating tuning fork produce progre...

Two vibrating tuning fork produce progressive waves given by `y_(1)=4 sin(500 pit)` and `y_(2)=2 sin(506 pi t)`. These tuning forks are held near the ear of a person. The person will hear `alpha` beats/s with intensity ratio between maxima and minima equal to `beta`. Find the value of `beta-alpha`.

A

3

B

6

C

9

D

12

Text Solution

Verified by Experts

The correct Answer is:
B
beats `=alpha=(506pi)/(2pi)-(500pi)/(2pi)`
`alpha=253-250=3`
` (I_("max"))/(I_("min"))=((a_(1)+a_(2))/(a_(1)-a_(2)))^(2)=((4+2)/(4-2))^(2)`
` beta=9`
So `beta-alpha=6`
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