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Waves question

2006 · Q168
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Waves question

2006 · Q168

NEETPhysicsWavesMCQ+4 / −1
Two vibrating tuning forks produce waves given by y1 = 4 sin 500π\piπt and y2 = 2 sin506 π\piπt. Number of beats produced per minute is
  1. A
    360
  2. B
    180
  3. C
    60
  4. D
    3
View written solutionFree

Correct answer: B

Y1 = 4 sin500π\pi πt, Y2 = 2 sin506π\pi πt

ω1=500π{\omega _1} = 500\pi ω1​=500π, ω1=2πυ{\omega _1} = 2\pi \upsilon ω1​=2πυ,
υ1=250,υ2=253{\upsilon _1} = 250,{\upsilon _2} = 253υ1​=250,υ2​=253

υ=υ2−υ1=253−250=3\upsilon = {\upsilon _2} - {\upsilon _1} = 253 - 250 = 3υ=υ2​−υ1​=253−250=3 beats/s

∴\therefore∴ Number of beats per minute = 3 × 60 = 180

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