Two identical piano wires kept under the same tension have a fundamental frequency of 600 Hz. The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beat/s when both the wires oscillate together would be
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a
0.02
b
0.03
c
0.04
d
0.01
answer is A.
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Detailed Solution
According to law of tension, the frequency of the string varies directly as the square root of its tensionn ∝ T∆nn = 12.∆TTor ∆TT = 2×∆nn∆TT = 2×6600 = 0.02
Two identical piano wires kept under the same tension have a fundamental frequency of 600 Hz. The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beat/s when both the wires oscillate together would be