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Waves question

2017 · Shift 1 · Q38
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Waves question

2017 · Shift 1 · Q38

JEE AdvancedPhysicsWavesMultiple correct+4 / −1
A block MMM 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 fixed rigid support at O.O.O. A transverse wave pulse (Pulse 1) of wavelength λ0{\lambda _0}λ0​ is produced at point OOO on the rope. The pulse takes time TOA{T_{OA}}TOA​ to reach point A.A.A. If the wave pulse of wavelength λ0{\lambda _0}λ0​ is produced at point AAA(Pulse 2) without disturbing the position of MMM it takes time TAO{T_{AO}}TAO​ to reach point O.O.O. which of the following options is/are correct? JEE Advanced 2017 Paper 1 Offline Physics - Waves Question 31 English
  1. A
    The time TAO=TOA{T_{AO}} = {T_{OA}}TAO​=TOA​
  2. B
    The velocities of the two pulses (Pulse 1 and Pulse 2) are the same at the midpoint of rope
  3. C
    The wavelength of Pulse 1 becomes longer when it reaches point AAA
  4. D
    The velocity of any pulse along the rope is independent of its frequency and wavelength
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