Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Advanced 2017Paper 1
Exam
JEE Advanced
Year
2017
Paper
Paper 1
Subject
Physics
Chapter
Waves and Sound

JEE Advanced 2017 · Paper 1 · Physics · Waves and Sound

A block M hangs vertically at the bottom end of a uniform rope of...

A block MM hangs vertically at the bottom end of a uniform rope of constant mass per unit length. The top end of the rope is attached to a fixed rigid support at O. A transverse wave pulse (Pulse 1) of wavelength λ0{\lambda}_{0} is produced at point O on the rope. The pulse takes time TOA{T}_{OA} to reach point A. If the wave pulse of wavelength λ0{\lambda}_{0} is produced at point A (Pulse 2) without disturbing the position of M it takes time TOA{T}_{OA} to reach point O. Which of the following options is/are correct?
A block M hangs vertically at the bottom end of a uniform rope of constant mass per unit length. The top end of the

Options

  1. AThe velocity of any pulse along the rope is independent of its frequency and wavelength
  2. BThe velocities of two pulses are the same at the midpoint of rope
  3. CThe wavelength of pulse 1 becomes longer when it reaches point A
  4. DThe time TAO=TOA{T}_{AO} = {T}_{OA}

Correct answer

A. The velocity of any pulse along the rope is independent of its frequency and wavelength

Step-by-step solution

A block M hangs vertically at the bottom end of a uniform rope of constant mass per unit length. The top end of the

(i) Speed of wave is property of medium so time taken to cross the string will be equal

(ii) Speeds are same but velocity is vector, has opposite directions

(iii) Wavelength λ=vf=1fTμ\lambda = \dfrac{v}{f} = \dfrac{1}{f}\sqrt{\dfrac{T}{\mu}} and T0>TA{T}_{0} > {T}_{A}

(iv) Velocity of any pulse is v=Tμv = \sqrt{\dfrac{T}{\mu}} and it is property of medium.

Practice Waves and Sound on Quantrex Academy →

More from Waves and Sound

List-I shows four configurations made of straight and semi-circular narrow tubes… JEE Advanced 2026A transverse wave on a string is described by y = 3 (36t + 0.018x + π/4) , where x, y are… JEE Main 2026The equation of a plane progressive wave is given by y = 5 π(200t - (x)/(150)) where x… JEE Main 2026The speed of a longitudinal wave in a metallic bar is 400 ~m / s . If the density and… JEE Main 2026Two tuning forks A and B are sounded together giving rise to 8 beats in 2 s. When fork A… JEE Main 2026A point source is kept at the center of a spherically enclosed detector. If the volume of… JEE Main 2026The fifth harmonic of a closed organ pipe is found to be in unison with the first… JEE Main 2026The velocity of sound in air is doubled when the temperature is raised from 0^ ∘ C to α^… JEE Main 2026 Full Waves and Sound list All JEE Advanced PYQs