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Standard XII

Physics

Wave Equation

What is the e...

Question

What is the equation of a sinusoidal wave moving in the positive x direction with wave length 6 m and time period 0.5s. The amplitude of the wave is 5 m.

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y = 5 sin (x - t)

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None of these

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Solution

The correct option is B

here $λ = 6 m$

$∴ k = \frac{2 π}{6} = \frac{π}{3}$

$ω = \frac{2 π}{T} = \frac{2 π}{0.5} = 4 π$

given,amplitude =5m

$y = 5 s i n (\frac{π}{3} x - 4 π t)$

[the standard equation is y=Asin(kx- $ω$ t)]

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What is the equation of a sinusoidal wave moving in the positive x direction with wave length 6 m and time period 0.5s. The amplitude of the wave is 5 m.

The correct option is B here λ=6m ∴ k=2π6=π3 ω=2πT=2π0.5=4π given,amplitude =5m y=5 sin(π3x−4πt) [the standard equation is y=Asin(kx-ω t)]

The correct option is B

here $λ = 6 m$

$∴ k = \frac{2 π}{6} = \frac{π}{3}$

$ω = \frac{2 π}{T} = \frac{2 π}{0.5} = 4 π$

given,amplitude =5m

$y = 5 s i n (\frac{π}{3} x - 4 π t)$

[the standard equation is y=Asin(kx- $ω$ t)]