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)

Options

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.

Answer

A, B, C

Explanation

`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.