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  • The magnetic field of an Electromagnetic Wave is given by <img alt="\mathrm{B_Y=3 \times 10^{-7} \sin \left(10^3 x+6.29 \times 10^{12} t\right).}" src="https://entrancecorner.oncodecogs.com/gi

The magnetic field of an Electromagnetic Wave is given by \mathrm{B_Y=3 \times 10^{-7} \sin \left(10^3 x+6.29 \times 10^{12} t\right).}
The wavelength of the Electromagnetic Wave is

Option: 1

6.28 cm


Option: 2

3.14 cm


Option: 3

0.63 cm


Option: 4

0.32 cm


Answers (1)

best_answer

Given, \mathrm{B_y=3 \times 10^{-7} \sin \left(10^3 x+6.28 \times\right. \left.10^{12} t\right).}
Comparing with the general equation
\mathrm{B_y=B_0 \sin (k x+\omega t).}
we get \mathrm{k=10^3.}
or
\mathrm{\begin{aligned} \Rightarrow \quad \lambda & =\frac{2 \pi}{10^3} \\ & =6.28 \times 10^{-3} \mathrm{~m} \\ & =0.63 \mathrm{~cm} \end{aligned}.}



 

Posted by

Rakesh

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