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Two sources of sound placed closed to ea...

Two sources of sound placed closed to each other are emitting orogressive waves given by `y_(1)=4sin 600 pit and y_(2) =5sin 608 pit`
An observer located near these two sources

A

8 beats per second with intensity ratio 81 : 1 between waxing and waning

B

4 beats per second with intensity ratio 81 : 1 between waxing and waning

C

4 beats per second with intensity ratio 25 : 16 between waxing and waning

D

8 beats per second with intensity ratio 25 : 16 between waxing and waning

Text Solution

Verified by Experts

The correct Answer is:
B
Comparing with `y_(1)=a_(1) sin 2 pi f_(1)t " and " y_(2)=a_(2) sin 2 pi f_(2)` t we get f1=300 Hz, `f_(2)=304 Hz` Number of beats `=f_(2)-f_(1)=4s^(-1)`
`(I_("max"))/(I_("min"))=((a_(1)+a_(2))/(a_(1)-a_(2)))^(2)=(I_("max"))/(I_("min"))=((4+5)/(4-5))^(2)=(81)/(1)`
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