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Question: Answered & Verified by Expert
A 5.5 metre length of string has a mass of $0.035 \mathrm{~kg}$. If the tension in the string is $77 \mathrm{~N}$, the velocity of the wave on the string is
PhysicsWaves and SoundAIIMSAIIMS 2014
Options:
  • A $210 \mathrm{~m} \mathrm{~s}^{-1}$
  • B $110 \mathrm{~m} \mathrm{~s}^{-1}$
  • C $40 \mathrm{~m} \mathrm{~s}^{-1}$
  • D $55 \mathrm{~m} \mathrm{~s}^{-1}$
Solution:
2123 Upvotes Verified Answer
The correct answer is: $40 \mathrm{~m} \mathrm{~s}^{-1}$
Here, $m=\frac{0.035}{5.5}, T=77 \mathrm{~N}$
$\therefore$ Velocity on the string is
$v=\sqrt{T / m}=\sqrt{\frac{77}{0.035 / 5.5}}=\sqrt{\frac{77 \times 5.5}{0.035}}=110 \mathrm{~m} \mathrm{~s}^{-1}$

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