MHT CET 2023 Physics 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 wave of wavelength '' is produced at the lower end of the rope. The wavelength of the wave when it reaches the top of the rope is ''. The ratio is
Answer: (A)
Solution
The frequency of the wave stays the same as it travels up the rope, so . The speed on a string is , and the rope is uniform so is constant; thus . Tension at the lower end is due to the block alone: . Tension at the top supports both the
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