Question 501: Waves

Question

Two identical piano wires, kept under the same tension T 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 beats/s when both the wires oscillate together would be

Accepted Answer

As $$\upsilon  = {1 \over {2L}}\sqrt {{T \over \mu }} $$
$$ 	herefore {{\Delta \upsilon } \over \upsilon } = {1 \over 2}{{\Delta T} \over T}$$
$${{\Delta T} \over T} = 2{{\Delta \upsilon } \over \upsilon } = 2 	imes {6 \over {600}} = 0.02$$

Answer

0.01

Answer

0.02

Answer

0.03

Answer

0.04

Waves

Two identical piano wires, kept under the same tension T 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 beats/s when both the wires oscillate together would be

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