NEET | 2016Wave motionHard

Question

A uniform rope of length L and mass m1, hangs vertically from a rigid support. A block of mass m2 isattached to the free end of the rope. A transverse pulse of wavelength λ1 is produced at the lower end ofthe rope. The wavelength of the pulse when it reaches the top of the rope is λ2. The ratio λ2/λ1 is:

Options

A.

m1m2

B.

m1+m2m2

C.

m1m2

D.

m1+m2m1

Solution

At bottom

ν1=M2gLM1
∴ λ1=M2M1gL1f
At top.
∴ λ2λ1=M1+M2M2
ν1 =(M1+M2)gLM1
∴ λ2 = (M1+M2)gLM21f

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