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If the magnetic field of an electromagne...

If the magnetic field of an electromagnetic wave is given as `B_(y) =2 xx 10^(-7) sin (10^(3) xx + 1.5 xx 10^(12) t)` tesla, the wavelength of the electromagnetic wave is

A

`0.314` mm

B

`0.628` mm

C

`6.28` mm

D

`1.26` mm

Text Solution

Verified by Experts

The correct Answer is:
C
Given, `B_(y) = 2 xx 10^(-7) sin (10^(3) xx + 1.5 xx 10^(12) t)`
We know that the general equation of a EM wave as
`B-B_0 sin (omega t + kx)`
On comparing,
`K= (2pi)/(lambda)`
`lambda = (2pi)/(K)`
Here, `K = 10^(3) m^(-1)`
`lambda = (2pi)/(10^3) = 6.28 xx 10^(-3)"m"`
`lambda = 6.28` mm
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