The magnetic field in a plane electromagnetic wave is given by By=2×10−7sin(0.5×103x+1.5×1011t)TWhat is the wavelength of the wave?

Comparing the given equation with By=B0sin[2π[(xλ+tT)]]We get, λ=2π0.5×103m=1.26cm

The magnetic field in a plane electromagnetic wave is given by By=2×10−7sin(0.5×103x+1.5×1011t)TWhat is the wavelength of the wave?

Comparing the given equation with By=B0sin[2π[(xλ+tT)]]We get, λ=2π0.5×103m=1.26cm

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The magnetic field in a plane electromagnetic wave is given by
$B_{y} = 2 \times 10^{- 7} \sin (0.5 \times 10^{3} x + 1.5 \times 10^{11} t) T$
What is the wavelength of the wave?

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3.1 cm

2.5 cm

0.8 cm

1.26 cm

answer is B.

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Detailed Solution

Comparing the given equation with
$B_{y} = B_{0} \sin [2 π [(\frac{x}{λ} + \frac{t}{T})]]$
We get, $λ = \frac{2 π}{0.5 \times 10^{3}} m = 1.26 c m$

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The magnetic field in a plane electromagnetic wave is given by By=2×10−7sin(0.5×103x+1.5×1011t)TWhat is the wavelength of the wave?

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The magnetic field in a plane electromagnetic wave is given by
$B_{y} = 2 \times 10^{- 7} \sin (0.5 \times 10^{3} x + 1.5 \times 10^{11} t) T$
What is the wavelength of the wave?