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JEE Main 20248 AprilEvening Shift
Exam
JEE Main
Year
2024
Date
8 April
Shift
Evening Shift
Subject
Physics
Chapter
Waves and Sound

JEE Main 2024 · 8 April · Evening Shift · Physics · Waves and Sound

A plane progressive wave is given by y=2 2 π(330 t-x) m . The...

A plane progressive wave is given by y=2cos⁡2π(330t−x)my=2 \cos 2 \pi(330 \mathrm{t}-x) \mathrm{m}. The frequency of the wave is :

Options

  1. A330 Hz330 \mathrm{~Hz}
  2. B660 Hz660 \mathrm{~Hz}
  3. C340 Hz340 \mathrm{~Hz}
  4. D165 Hz165 \mathrm{~Hz}

Correct answer

A. 330 Hz330 \mathrm{~Hz}

Step-by-step solution

y=2cos⁡2π(330t−x)my=Acos⁡(ωt−kx) by comparing ω=2π×3302πf=2π×330f=330\begin{aligned} & y=2 \cos 2 \pi(330 t-x) m \\ & y=A \cos (\omega t-k x) \\ & \text{ by comparing } \omega=2 \pi \times 330 \\ & 2 \pi f=2 \pi \times 330 \\ & f=330\end{aligned}
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