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NEET 2024
Exam
NEET
Year
2024
Subject
Physics
Chapter
Waves and Sound

NEET 2024 · Physics · Waves and Sound

The displacement of a travelling wave y=C (2 π)/(λ) (at -x ) where...

The displacement of a travelling wave y=Csin⁡2πλy=C \sin \frac{2 \pi}{\lambda} (at −x-x ) where tt is time, xx is distance and λ\lambda is the wavelength, all in S.I. units. Then the frequency of the wave is

Options

  1. A2πλa\frac{2 \pi \lambda}{a}
  2. B2πaλ\frac{2 \pi a}{\lambda}
  3. Cλa\frac{\lambda}{a}
  4. Daλ\frac{a}{\lambda}

Correct answer

D. aλ\frac{a}{\lambda}

Step-by-step solution

y=c \sin \frac{2 \pi}{\lambda}(atat-x) y=c \sin \left(\frac{2 \pi}{\lambda}\right.at−2πλx)at \left.-\frac{2 \pi}{\lambda} x\right) Comparing with y=Asin⁡(ωℏ−kx)ω=2πf=2πaλf=aλy=A \sin (\omega \hbar-k x) \omega=2 \pi f=\frac{2 \pi a}{\lambda} f=\frac{a}{\lambda}
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