Question

Two vibrating tuning forks produce progressive waves given by $y_1=4\sin 500\pi t$ and $y_2=2\sin 506\pi t$. Number of beats produced per minute is

• A. $360$
• B. $180$
• C. $3$
• D. $60$

Answer 1

The correct option is C $3$

$Y_1=4sin\left(500\pi t\right)$

$Y_2=2sin\left(506\pi t\right)$

$f_1=\frac{{\omega }_1}{2\pi }=\frac{500\pi }{2\pi }=250$

$f_2=\frac{{\omega }_2}{2\pi }=\frac{506\pi }{2\pi }=253$

$\beta =f_2-f_1=253-250=3$ beats/ sec