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Physics · PYQ NEET UG 2022

हिन्दी

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. \( 1 : \sqrt{2} \)
  2. \( 1 : 2 \)
  3. \( 1 : 1 \)
  4. \( \sqrt{2} : 1 \)

Correct answer · Option 1

\( 1 : \sqrt{2} \)

Explanation

Speed of transverse wave is \( v = \sqrt{\frac{T}{\mu}} \). Thus \( v \propto \sqrt{T} \). The ratio of initial to final speed is \( \frac{v_1}{v_2} = \sqrt{\frac{T_1}{T_2}} = \sqrt{\frac{T}{2T}} = \frac{1}{\sqrt{2}} \).
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