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NEET 2022
Exam
NEET
Year
2022
Subject
Physics
Chapter
Waves and Sound

NEET 2022 · Physics · Waves and Sound

If the initial tension on a stretched string is doubled, then the...

If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is:

Options

  1. A2:1\sqrt{2}: 1
  2. B1:21: \sqrt{2}
  3. C1:21: 2
  4. D1:11: 1

Correct answer

B. 1:21: \sqrt{2}

Step-by-step solution

Case 1:

T1=T{T}_{1} = T

Case 2:

T2=2T{T}_{2} = 2T

We know, speed of transverse wave is related to tension by

v=Tμv = \sqrt{\dfrac{T}{\mu}}, here, μ\mu is mass per unit length of the string.

∴v1v2=T1T2=T2T=12=1:2∴ \dfrac{{v}_{1}}{{v}_{2}} = \sqrt{\dfrac{{T}_{1}}{{T}_{2}}} = \sqrt{\dfrac{T}{2T}} = \dfrac{1}{\sqrt{2}} = 1: \sqrt{2}

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