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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
\( \mathrm{P} \) end of the string is free. The linear mass density of the

W string varies linearly from 0 to \( \lambda \) from bottom to top.
(a) The velocity of the wave in the string will be 0 .
(b) The acceleration of the wave on the string will be \( 3 \mathrm{~g} / 4 \) every where.
(c) The time taken by a pulse to reach from bottom to top will be \( \sqrt{8 \mathrm{~L} / 3 \mathrm{~g}} \).
(d) The time taken by a pulse to reach from bottom to top will be \( \sqrt{4 \mathrm{~L} / 3 \mathrm{~g}} \).
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