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 displacement of the particle of the string at x = 50 cm at time t = 0.05 s?
  1. \(\frac{1}{\sqrt{2}} \mathrm{~cm}\)
  2. \(\sqrt{2} \mathrm{~cm}\)
  3. \(\frac{\sqrt{3}}{2} \mathrm{~cm}\)
  4. \(\frac{2}{\sqrt{3}} \mathrm{~cm}\)

Answer

(A) 1 2 ~cm

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