Verified Solution • 2025–26 Session moderate

QAIPMT-2010-Ph-2049: NEET 2010 Physics - Class 11 AIPMT-2010-Ph-2049 Solution: A transverse wave is represented by \(y=A ( t-kx)\). For what…

A transverse wave is represented by y=Asin⁡(ωt−kx)y=A\sin(\omega t-kx). For what value of the wavelength is the wave velocity equal to the maximum particle velocity?

Multiple Choice Options

  • A πA/2\pi A/2
  • B πA\pi A
  • C 2πA2\pi A
  • D AA

Step-by-Step Verified Solution

y = A sin ( _ t�kx) Particle velocity, v p = d y d t = A _ cos _ ( _ t _ k x ) _ v p max = A _ wave velocity = _ k _ A _ = _ k i.e, A = 1 k But k = 2 � _ _ _ = 2 � A

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