Question

$Y=4sin[2π (8t−8X )]$ if X and Y are measured in cm then velocity of wave is then

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Solution

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Correct option is A)

Given that.

$y=4sin[2π (8t−8x )]$

Now, on comparing from general equation

$y=asin[kx−ωt+ϕ]$

Now, the frequency is

$f=2πω $

$f=2π4π $

$f=2$

Now, the wave length is

$λ=k2π $

$λ=π2×16π $

$λ=32m$

Now, the velocity is

$v=fλ$

$v=2×32$

$v=64cm/s$

Hence, the velocity of wave is $64cm/s$ in- x direction

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