In an electromagnetic wave in free space the root mean square value of the electric field is `E_(rms)=6 V//m`. The peak value of the magnetic field is

Options

A. `1.41xx10^(-8)T`
B. `2.83xx10^(-8)T`
C. `0.70xx10^(-8)T`
D. `4.23xx10^(-8)T`

Answer

B

Explanation

Given
root mean square value of electric field `E_(rms)=6V//m`
We know that , peak vallue of electric field.
`E_(0)=sqrt(2)E_(rms)rArrE_(0)=sqrt(2)xx6 V//m`
Also we know that , `C =(E_(0))/(B_(0))`
Where C= speed of light iun vacuum
`B_(0)=peak value of magnetic field
`rArr B_(0)=(sqrt(2)xx6)/(3xx10^8))rArrB_(0)=(8.48)/(3)xx10^(-8)`
`rArr B_(0)=2.83xx10^(-8)T`