The displacement y of a wave travelling in the x-direction is given by y-10-4sin600t-2x-2 metres- Where x is expressed in metre and t in second- The speed of the wave motion is

The correct option is A 300 m/s y=10^ 4 sin (600 t 2x t + π2) y=A #160;sin #160;(ω t kx) ω =600 k=2 V=ωk =300 in /sec ...

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Standard XII

Physics

Resultant Wave Equation

The displacem...

Question

The displacement y of a wave travelling in the x-direction is given by $y = 10^{- 4} sin (600 t - 2 x + \frac{π}{2})$ metres. Where x is expressed in metre and t in second. The speed of the wave motion is

200 m/s

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300 m/s

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600 m/s

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1200 m/s

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Solution

The correct option is A 300 m/s
$y = 10^{- 4} s i n (600 t - 2 x t + \frac{π}{2})$
$y = A s i n (ω t - k x)$
$ω = 600$
k=2
$V = \frac{ω}{k}$
$= 300 i n / s e c$

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The displacement y of a wave travelling in the x-direction is given by y=10−4sin(600t−2x+π2) metres. Where x is expressed in metre and t in second. The speed of the wave motion is

The correct option is A 300 m/sy=10−4sin(600t−2xt+π2)y=Asin(ωt−kx)ω=600k=2V=ωk=300in/sec

The displacement y of a wave travelling in the x-direction is given by $y = 10^{- 4} sin (600 t - 2 x + \frac{π}{2})$ metres. Where x is expressed in metre and t in second. The speed of the wave motion is

The correct option is A 300 m/s
$y = 10^{- 4} s i n (600 t - 2 x t + \frac{π}{2})$
$y = A s i n (ω t - k x)$
$ω = 600$
k=2
$V = \frac{ω}{k}$
$= 300 i n / s e c$