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Waves question

2011 · Q98
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Waves question

2011 · Q98

NEETPhysicsWavesMCQ+4 / −1
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
  1. A
    0.01
  2. B
    0.02
  3. C
    0.03
  4. D
    0.04
View written solutionFree

Correct answer: B

As υ=12LTμ\upsilon = {1 \over {2L}}\sqrt {{T \over \mu }} υ=2L1​μT​​

∴Δυυ=12ΔTT \therefore {{\Delta \upsilon } \over \upsilon } = {1 \over 2}{{\Delta T} \over T}∴υΔυ​=21​TΔT​

ΔTT=2Δυυ=2×6600=0.02{{\Delta T} \over T} = 2{{\Delta \upsilon } \over \upsilon } = 2 \times {6 \over {600}} = 0.02TΔT​=2υΔυ​=2×6006​=0.02

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