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A progressive wave is given by $y = 3 \sin 2 π [(t / 0 .04) - (x / 0 .01)]$ where x, y are in cm and t in s. The frequency of wave and maximum acceleration will be:

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100Hz,4.7×103m/s2

50Hz,7.5×103cm/s2

25Hz,4.7×104m/s2

25Hz,7.4×104cm/s2

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detailed solution

Correct option is D

We know ω=2πf=2π0.04⇒ f=25HzDifferentiating y w.r.t. twice, we havey′′−3×4π2(0.004)2sin⁡2πt0.04−x0.01 Maximum accelerationamax=3×4π2(0.004)2 cm/s2=7.4×104cm/s2

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A progressive wave is given by y=3sin⁡2π[(t/0.04)−(x/0.01)] where x, y are in cm and t in s. The frequency of wave and maximum acceleration will be:

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A progressive wave is given by $y = 3 \sin 2 π [(t / 0 .04) - (x / 0 .01)]$ where x, y are in cm and t in s. The frequency of wave and maximum acceleration will be: