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TS EAMCET · Physics · Waves and Sound

One end of a string is tied to the ceiling of a lift and a load is attached ai the bottom end of the string. When the lift is moving upwards with an acceleration of \(2.1 \mathrm{~ms}^{-2}\), the speed of the transverse wave at the lower end of the string is \(88 \mathrm{~ms}^{-1}\). If the lift moves downwards with an acceleration of \(1.9 \mathrm{~ms}^{-2}\), the speed of the transverse wave at the lower end of the string is \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

  1. A \(88 \mathrm{~ms}^{-1}\)
  2. B \(102 \mathrm{~ms}^{-1}\)
  3. C \(119 \mathrm{~ms}^{-1}\)
  4. D \(72 \mathrm{~ms}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(72 \mathrm{~ms}^{-1}\)

Step-by-step Solution

Detailed explanation

When lift is moving upwards then frequency \(\mathrm{n}_{\mathrm{u}}=\frac{1}{2 \pi} \sqrt{\frac{\mathrm{g}+\mathrm{a}}{1}}\) and when moving downwards then frequency \(\mathrm{n}_{\mathrm{d}}=\frac{1}{2 \pi} \sqrt{\frac{\mathrm{g}-\mathrm{a}}{1}}\); wave velocity…
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