Two vibrating tuning forks produce progressive waves given

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Two vibrating tuning forks produce progressive waves given by y₁ = 4 sin 500 πt and y₂ = 2 sin 506 πt. Number of beats produced per minute is

1. 360
2. 180
3. 60
4. 3

Correct Option: B

Equation of progressive wave is given by
y = A sin2πf t
Given y₁ = 4sin500 πt and y₂ = 2sin506πt.
Comparing the given equations with equation of progressive wave, we get
2f₁ = 500 f₁ = 250
2f₂ = 506 f₂ = 253
Beats = f₂– f₁ = 253 – 250 = 3 beats/sec
= 3 × 60 = 180 beats/minute.