If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a…

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:
  1. 2:1
  2. 1:2
  3. 1:2
  4. 1:1

Solution

Case 1:

T1=T

Case 2:

T2=2T

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

v=Tμ, here, μ is mass per unit length of the string.

∴ v1v2=T1T2=T2T=12=1:2

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Asked in: NEET 2022 (Phase 1)

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