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Question: Two vibrating tuning forks producing progressive waves given by y<sub>1</sub> = 4 sin 500 pt; y<sub>...

Two vibrating tuning forks producing progressive waves given by y1 = 4 sin 500 pt; y2 = 2 sin 506pt are held near the ear of a person. If number of beats heard/sec be B and ratio of maximum to minimum intensity be A, then –

A

B = 3, A = 2

B

B = 3, A = 9

C

B = 6, A = 2

D

B = 6, A = 9

Answer

B = 3, A = 9

Explanation

Solution

y1 = 4 sin 500 pt, y2 = 2 sin 506pt

B = 253 – 250 = 3, a1 = 4, a2 = 2

A = = (4+2)2(42)2\frac { ( 4 + 2 ) ^ { 2 } } { ( 4 - 2 ) ^ { 2 } }