One end of a string of length \( \mathrm{L} \) is tied to the ceiling of a lift accelerating upw...

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One end of a string of length \( \mathrm{L} \) is tied to the ceiling of a lift accelerating upwards with an acceleration \( 2 \mathrm{~g} \). The other end of the string is free. The linear mass density of the string varies linearly from 0 to \( \lambda \) from
\( \mathrm{P} \) bottom to top. Find the time taken by a pulse to reach from bottom to top?

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