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A rope is attached at one end to a fixed...

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.
In all the above, quetions we have considered a fixed value of tension. however, if tension in a given rope is increased and a pulse is genrated as described,

A

Time taken for the pulse to reach the pole may increase to decrease

B

Time taken for the pulse to reach the pole will not change

C

Time taken for the pulse to reach the pole will increase

D

Time taken for the pulse to reach the pole will deacrease

Text Solution

Verified by Experts

The correct Answer is:
d

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.
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