Q89 / 100 · BITSAT 2024 (Memory Based Paper 1) · Physics

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

  • A
    165 Hz
  • Correct answer
    B
    330 Hz
  • C
    660 Hz
  • D
    340 Hz

Solution

Equation of wave is, $y=2 \cos 2 \pi(330 t-x)$ m $y=A \cos (\omega t-k x)$ On comparing $\omega=2 \pi \times 330$ $2 \pi \mathrm{f}=2 \pi \times 330 \Rightarrow \mathrm{f}=330 \mathrm{~Hz}$ $[\because \omega=2 \pi \mathrm{~F}]$

Hence, the correct answer is option: 'B'.

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