A long string having a cross-sectional area 0.80 mm 2 and density 12.5 g/cm 3 is…

Physics · JEE Advanced · NTA ExamsOscillations and Waves


A long string having a cross-sectional area 0.80 mm2 and density 12.5 g/cm3 is subjected to a tension of 64 N along the x-axis. One end (at x = 0) of this string is attached to a vibrator moving in transverse direction at a frequency of 20 Hz.
At, t = 0, the source is at a maximum displacement y = 1.0cm.
 What is the velocity of this particle at this instant?
  1. \(10 \sqrt{2} \pi \mathrm{~cm} / \mathrm{s}\)
  2. \(40 \sqrt{2} \pi \mathrm{~cm} / \mathrm{s}\)
  3. \(30 \sqrt{2} \pi \mathrm{~cm} / \mathrm{s}\)
  4. \(20 \sqrt{2} \pi \mathrm{~cm} / \mathrm{s}\)

Answer

(D) 20 2 ~cm / s

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