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MHT CET 202623 AprilEvening Shift
Exam
MHT CET
Year
2026
Date
23 April
Shift
Evening Shift
Subject
Physics
Chapter
Waves and Sound

MHT CET 2026 · 23 April · Evening Shift · Physics · Waves and Sound

The tension in a piano wire is increased by 25\ \% . Its frequency...

The tension in a piano wire is increased by 25 %25\ \%. Its frequency becomes "nfnf", where f is the original frequency, then, the value of n is nearly

Options

  1. A0.8\sqrt{0.8}
  2. B1.25\sqrt{1.25}
  3. C1.12\sqrt{1.12}
  4. D1.56\sqrt{1.56}

Correct answer

B. 1.25\sqrt{1.25}

Step-by-step solution

The frequency of a stretched wire is given by f=12LTμf = \dfrac{1}{2L} \sqrt{\dfrac{T}{\mu}}

This implies f∝Tf \propto \sqrt{T}

Given that the tension is increased by 25 %25\ \%, the new tension is T′=T+0.25T=1.25TT' = T + 0.25T = 1.25T

The new frequency is f′=1.25TTf=1.25ff' = \sqrt{\dfrac{1.25T}{T}} f = \sqrt{1.25} f

Comparing with f′=nff' = nf, we get n=1.25n = \sqrt{1.25}

Answer: 1.25\sqrt{1.25}
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