Waves

JEE Main level, single correct, medium

47 of 142

Question 47 of 142

The displacement yy of a wave travelling in the xx-direction is given by y=10−4sin⁡(600t−2x+π3)y=10^{-4} \sin \left(600 t-2 x+\frac{\pi}{3}\right) metres where x\mathrm{x} is expressed in metres and t\mathrm{t} in seconds. The speed of the wave-motion, in ms−1\mathrm{ms}^{-1}, is

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Answer: (B) 600600

y=10−4sin⁡(600t−2x+π3)y=10^{-4} \sin \left(600 t-2 x+\frac{\pi}{3}\right). Comparing it with standard equation
y=Asin⁡(vt−kx);v=600m/sy=A \sin (v t-k x) ; \quad v=600 m / s

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