Two vibrating tuning forks produce progressive waves given Y_1=4 500 π t and Y_2=2 506 π t . Number of beats produced per minute is:

Correct answer: B. 180 aligned & y_1=4 500 π t & y_2=2 506 π t & ω_1=500 π , & ω_2=500 π, ω=2 π & v_1=250, v_2=253 & aligned aligned v & =v_2-v_1=253-250 & =3 beats / s aligned

NEET 2005

Exam: NEET
Year: 2005
Subject: Physics
Chapter: Waves and Sound

NEET 2005 · Physics · Waves and Sound

Two vibrating tuning forks produce progressive waves given Y_1=4...

Two vibrating tuning forks produce progressive waves given

Y_1=4 \sin 500

\pi \mathrm{t}

and

Y_2=2 \sin 506 \pi \mathrm{t}

. Number of beats produced per minute is:

Options

A360
B180
C60
D3

Correct answer

B. 180

Step-by-step solution

\begin{aligned} & y_1=4 \sin 500 \pi t \\ & y_2=2 \sin 506 \pi t \\ & \omega_1=500 \pi \text{, } \\ & \omega_2=500 \pi, \omega=2 \pi \\ & v_1=250, v_2=253 \\ & \end{aligned}

\begin{aligned} \therefore \quad v & =v_2-v_1=253-250 \\ & =3 \mathrm{beats} / \mathrm{s}\end{aligned}

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