Wave motionHard

Question

A uniform rope of length l and mass M hangs vertically from a rigid support. A block of mass m is attached to the free end of the rope. A transverse pulse of wavelength l is produced at the lower end of the rope. The wavelength of the pulse, when it reaches the top of the rope is :-

Options

A.λ
B.λ
C.λ
D.λ

Solution

v = ⇒ v ∝ √T     m = constant
v = nλ ⇒ v ∝ λ   n = constant
so λ ∝ √T ⇒

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