Sound WavesHardBloom L3

Question

Two vibrating tuning forks produce progressive waves given by y1=4 sin(500πt) and

y2 = 2 sin(506πt). These tuning forks are held near the ear of a person. The person will hear

Options

A.3 beats/s with intensity ratio between maxima and minima equal to 4.
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 4.
D.6 beats/s with intensity ratio between maxima and minima equal to 9.

Solution

Sol. Beat = f2 –f1 = 253 – 250 = 3Hz

Iman ∝ (Amax)2 = (4 + 2)2 = 36

Imin ∝  (Amin)2 = (4 – 2)2 =4

So = $\frac{36}{4}$ = 9

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