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Question

# A uniform rope of mass m length L hangs from the ceiling.A small wave pulse is created at bottom, then which of following is correct regarding wave pulse.

A
Rate of change of speed with respect to time varies.
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B
Rate of change of speed with respect to time is constant.
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C
Rate of change of speed with respect to time is zero
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D
Wave speed varies.
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Solution

## The correct options are B Rate of change of speed with respect to time is constant. D Wave speed varies.T=m1gT=(mL)xgSpeed of waveV=√mg/Lm/l=√xgHence wave speed varies with x.a=dvdt=√g×12√xdxdt=√g2√xV=g/2Rate of change of speed with respect to time=ddt(V)=g/2=constant

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