First slide

Introduction to oscillations

Question

The displacement y of a wave travelling in the x direction is given by $y = 10^{- 4} \sin (600 t - 2 x + π / 3)$ metre. When x is expressed in metre and t in seconds. The speed of the wave motion in $m s^{- 1}$ is

Easy

A

300
B

600
C

1200
D

200

Solution

$The given equation of wave y = 10^{- 4} \sin (600 t-2x+π / 3) ----(1) Standard equation of wave y=asin(wt-kx+φ) --------(2) c o m p a r i n g e q n (1) a n d (2) w = 600 r a d / s e c; K = 2 N / m V e l o c i t y o f w a v e = \frac{w}{k} = \frac{600}{2} {=300ms}^{-1}$

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