NEET 2016 Physics question

PhysicsWavesNEET 2016

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

Answer: (2)

Solution

The speed of a transverse wave on a rope is with linear mass density . At the lower end the tension supports only the block: . At the top end the tension supports the block and the whole rope: $ =

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Question ID VK-091844