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BITSAT 2024Paper 1
Exam
BITSAT
Year
2024
Paper
Paper 1
Subject
Physics
Chapter
Waves and Sound

BITSAT 2024 · Paper 1 · 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 \cos2 \pi(330 t-x) \mathrm{m}. The frequency of the wave is:

Options

  1. A165 Hz
  2. B330 Hz
  3. C660 Hz
  4. D340 Hz

Correct answer

B. 330 Hz

Step-by-step solution

Equation of wave is, y=2cos⁡2π(330t−x)y=2 \cos 2 \pi(330 t-x) m y=Acos⁡(ωt−kx)y=A \cos (\omega t-k x) On comparing ω=2π×3302πf=2π×330⇒f=330Hz[∵ω=2πF]\omega=2 \pi \times 3302 \pi \mathrm{f}=2 \pi \times 330 \Rightarrow \mathrm{f}=330 \mathrm{ Hz}[\because \omega=2 \pi \mathrm{ F}]
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