A plane progressive wave equation is given as y- 0-8 sin 16 - t-x40- Find the wavelength of wave-

The correct option is B 5 mmWave equation, y=0.8sin16π(t x40)mm From the above equation, K=16π40 We know that propagation constant is given by ...

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Standard XII

Physics

Wavelength

A plane progr...

Question

A plane progressive wave equation is given as $y = 0.8 sin 16 π (t - \frac{x}{40})$ . Find the wavelength of wave.

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Solution

The correct option is B $5$ mm
Wave equation,
$y = 0.8 s i n 16 π (t - \frac{x}{40}) m m$
From the above equation,
$K = \frac{16 π}{40}$
We know that propagation constant is given by
$K = \frac{2 π}{λ}$
$λ = \frac{2 π}{K} = \frac{2 π}{16 π / 40}$
$λ = 5 m m$

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A plane progressive wave equation is given as y=0.8sin16π(t−x40). Find the wavelength of wave.

The correct option is B 5 mmWave equation,y=0.8sin16π(t−x40)mmFrom the above equation,K=16π40We know that propagation constant is given byK=2πλλ=2πK=2π16π/40λ=5mm

A plane progressive wave equation is given as $y = 0.8 sin 16 π (t - \frac{x}{40})$ . Find the wavelength of wave.

The correct option is B $5$ mm
Wave equation,
$y = 0.8 s i n 16 π (t - \frac{x}{40}) m m$
From the above equation,
$K = \frac{16 π}{40}$
We know that propagation constant is given by
$K = \frac{2 π}{λ}$
$λ = \frac{2 π}{K} = \frac{2 π}{16 π / 40}$
$λ = 5 m m$