First slide

Electromagnetic waves and its nature

Question

A magnetic field in a plane electromagnetic wave is given by $B_{Y} = 3 \times 10^{- 7} \sin [1.5 x + 5 \times 10^{8} t] T$ . What is the wavelength of electromagnetic wave?

Moderate

A

4.19m
B

2.20m
C

1.59m
D

3.6m

Solution

Given equation is $B_{Y} = 3 \times 10^{- 7} \sin [1.5 x + 5 \times 10^{8} t] T$
Comparing the given equation with the equation of $B = B_{0} \sin (\frac{2 π x}{λ} + \frac{2 π t}{T})$
$\frac{2 π}{λ} = 1.5 \Rightarrow λ = \frac{2 π}{1.5} ∴ λ = \frac{2}{1.5} \times \frac{22}{7} = \frac{44}{10.5} = 4.19 m$

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