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Q.

Two vibrating tuning forks producing progressive waves given by;  y1=4sin(500πt) ;  y2=2sin(506πt)  are held near the ear of a person. The person will hear;

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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 is B.

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Detailed Solution

 y1=4sin(500πt)a1=4andn1=250Hz y2=2sin(506πt)a2=2andn2=253Hz
 Beat frequency,  b=n2n1=253250=3
 ImaxImin=(a1+a2a1a2)2=(4+242)2=9
 

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