Home
Class 12
PHYSICS
The magnetic field in a plane electromag...

The magnetic field in a plane electromagnetic wave is given by, `B_(y)=(2 xx 10^(-7) T) sin (0.5 xx 10^(3) x+1.5 xx 10^(-11)t)`. What is the wavelength and frequency of the wave?

A

`1.26cm, 2.38 xx 10^8 Hz`

B

`1.26cm, 2.38 xx 10^(10) Hz`

C

`1.26cm, 2.38 xx 10^(12) Hz`

D

`1.26cm, 2.38 xx 10^6 Hz`

Text Solution

Verified by Experts

The correct Answer is:
B
Comparing the given equation with the standard equation of electromagnetic wave,
`B=B_(0) sin (kx+omega t)`
We have, `k=(2pi)/(lambda)=0.5 xx 10^(3)`
`lambda =(2pi)/(0.5 xx 10^(3))m =1.26cm`
`omega=2pif=1.5 xx 10^(11)`
`f=(1.5 xx 10^(11))/(2pi) Hz=2.38 xx 10^(10)Hz`
Promotional Banner

Similar Questions

Explore conceptually related problems

The magnetic field of a plane electromagnetic wave is given by B= 2 xx 10^-7 sin (0.5 xx 10^3 x +1.5 x 10^11 t) : What is wave length and frequency?

The magnetic field of a plane electromagnetic wave is given by B= 2 xx 10^-7 sin (0.5 xx 10^3 x +1.5 x 10^11 t) : What is the maximum amplitude of this magnetic field?

The magnetic field of a plane electromagnetic wave is given by B= 2 xx 10^-7 sin (0.5 xx 10^3 x +1.5 xx10^11 t) : If this electro magnetic wave move in Z-direction. Write the equation of its electric field.