Q146 / 150 · MHT CET 2022 (07 Aug Shift 2) · Physics

Two waves $y_1=0.35 \sin (316 t)$ and $y_2=0.35 \sin (310 t)$ are propagating along the same direction. The number of beats produced per second are

  • Correct answer
    A
    $\frac{3}{\pi}$
  • B
    $\frac{2}{\pi}$
  • C
    $\frac{\pi}{2}$
  • D
    $\frac{\pi}{3}$

Solution

According to question: $f_1=\frac{316}{2 \pi}$ and, $f_2=\frac{310}{2 \pi}$ Now, The number of beats heard per second $=f_1-f_2=\frac{316}{2 \pi}-\frac{310}{2 \pi}=\frac{3}{\pi}$

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

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