Verified Solution • 2025–26 Session moderate

QAIPMT-2006-Ph-2456: NEET 2006 Physics - Class 11 AIPMT-2006-Ph-2456 Solution: A transverse wave propagating along x-axis is represented by…

A transverse wave propagating along x-axis is represented by y(xt)=8.0sin⁡(0.5πx−4πt−π/4)y(x t) = 8.0\sin(0.5\pi x - 4\pi t - \pi/4) where x is in metres and t is in seconds. The speed of the wave is 8 m/s 4π m/s4\pi\ \text{m/s} 0.5π m/s0.5\pi\ \text{m/s} π/4 m/s\pi/4\ \text{m/s}.

Multiple Choice Options

  • A 16 m
  • B 24 m
  • C 40 m
  • D 56 m

Step-by-Step Verified Solution

Given x = 40 + 12t _ t 3 v = d x d t = 12 - 3t 2 When particle comes to rest then v = 0. _ 12 - 3t 2 = 0 _ t = 2 s Distance travelled before coming to rest, s = � 0 2 v d t = � 0 2 ( 12 _ 3 t 2 ) d t = [ 12 t _ 3 t 3 3 ] 0 2 = 24 - 8 = 16 m

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