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A string of length L, fixed at its both ends is vibrating in its lst overtone mode. Consider two elements of the string of same small length at positions $l_{1} =$ 0.2L and $l_{2}$ = 0.45L from one end. If $K_{1} and K_{2}$ are their respective maximum kinetic energies then

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$K_{1} = K_{2}$

$K_{1} > K_{2}$

$K_{1} < K_{2}$

it is not possible to decide the relation

answer is B.

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Detailed Solution

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

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