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A thick uniform rope of length L is hang...

A thick uniform rope of length L is hanging from a rigid support. A transverse wave of wavelength `lamda_(0)` is set up in the middle of the rope. Te wavelength of the wave as it reaches the top most point is

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A uniform rope of length L and mass m_(1) hangsvertically from a rigid support. A block of mass m_(2) is attached to the free end of the rope. A transverse pulse of wavelength lambda_(1) is produced at the lower end of the rope. The wavelength of the pules when it reaches the top of the rope is lambda_(2) . The ratio lambda_(2)//lambda_(1) is :