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Consider the three ropes of same length ...


Consider the three ropes of same length and same linear density as (shown in figure) suspended from the ceiling.
A pulse is generated at the lowest point of the three ropes simultaneously. Choose the correct statements(s)

A

Time taken by pulse to reach the top is same for all three.

B

Acceleration with which pulses move up is same for A and B

C

Acceleration with which pulses move up is same for B and C

D

Time taken by pulse to reach the top is greater for B than C.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C

`V_(x)=sqrt((T)/(mu))=sqrt((Mg)/(mu)+gx)`
`impliesa_(x)=v_(x)(dv_(x))/(dx)=(g)/(2)` same for all three as it is independent of mass.
`v_(x)=(dx)/(dt)=sqrt((Mg)/(mu)+Gx)`
`impliesint_(0)^(l)(dx)/(sqrt((Mg)/(mu)+gx))`
`impliest=(2)/(g)[sqrt((Mg)/(mu)+gl)-sqrt((Mg)/(mu))]`
t is a decresing function of mass.
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