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NEET UG PHYSICS MCQ: WAVES

1 Hard
1 of 1
Application +4 | -1
A wave pulse starts propagating in +ve X-direction along a non-uniform wire of length ' LL ', with mass per unit length given by μ=Mo+αx\mu=M_o+\alpha x and under a tension of TNTN. Find the time taken by the pulse to travel from the lighter end (x=0)(x=0) to the heavier end.
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Correct option: A
t=23αT[(Mo+αL)3/2−Mo3/2]t=\frac{2}{3 \alpha \sqrt{T}}\left[\left(M_o+\alpha L\right)^{3 / 2}-M_o^{3 / 2}\right]
Option A (t=23αT[(Mo+αL)3/2−Mo3/2]t=\frac{2}{3 \alpha \sqrt{T}}\left[\left(M_o+\alpha L\right)^{3 / 2}-M_o^{3 / 2}\right]) is correct because the time is calculated by integrating the inverse of the wave speed over the length of the wire.

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