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A string of length L fixed at its at its...

A string of length `L` fixed at its at its both ends is vibrating in its `1^(st)` overtone mode. Consider two elements of the string of same small length at position `l_1=0.2L` and `l_2=0.45L` from one end. If `K_1` and `K_2` are their respective maximum kinetic energies then

A

`K_(1)=K_(2)`

B

`K_(1)gtK_(2)`

C

`K_(1)ltK_(2)`

D

it is not possible to decide the relation

Text Solution

Verified by Experts

The correct Answer is:
B

It is obvious that particle at 0.2 L will have larger amplitude that particle at 0.45 L, 0.5 L being the node and 0.25 being amplitude.
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