A rope is attached at one end to a fixed vertical pole . It is stretched horizontal with a fixed value of tension `T` . Suppose at `t=0`, a pulse is generated by moving the free end of the rope up and down once with your hand. The pulse arrives at the pole at instant `t`.
Ignoring the effect of gravity, answer the following quetions.
If you move your hand up and down once by the same amount but do it more rapidly, say, twice as fast as in the earlier case.

Options

A. Time taken for the pulse to reach the pole will increase
B. Time taken for the pulse to reach the pole will not change
C. Time taken for the pulse to reach the pole will deacrease
D. Time taken for the pulse to reach the pole may increase or decrease

Answer

b

Explanation

Time taken to reach other end is independent of frequency and amplitude `v=sqrt((T)/(m))`
As `m` increases, velocity decreases.
So time taken will be more or will increase.
As `T` increase, velocity also increases.
So time taken will be less or it will decreases.