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Principle of Superposition

A wave is rep...

Question

A wave is represented by the equation y = (0.001) sin [2x+50t] where is x in meter t is sec and y in mm.

wave velocity = 25 m/s

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Wavelength = 2.0 m

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Wave velocity=100 m/s

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Wavelength=2342 m

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Solution

The correct option is A wave velocity = 25 m/s
Given,

$y = 0.001 sin (50 t + 2 x)$

Here,

$a = 0.001$

$ω = 50$

$k = 2$

$k = \frac{2 π}{λ}$

$λ = π$

$ω = 2 π ν$

$50 = 2 π ν$

$ν = \frac{25}{π}$

$s o,$

$w a v e v e l o c i t y, v = ν λ$

$v = 25 m / s$

Suggest Corrections

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