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. `1.41 xx 10^(-8)T`
B. `2.83 xx 10^(-8)T`
C. `0.7 xx 10^(-8)` T
D. `4.23 xx 10^(-8)` T

Answer

B

Explanation

`E_(0)=sqrt(2)E_(rms)= sqrt(2) xx 6V//m`
`B_(0)= (E_(0))/(C)= (sqrt(2) xx 6)/(3 xx 10^(2))T= sqrt(2) xx 10^(-8)T= 2 xx 1.414 xx 10^(-8)T= 2.828 xx 10^(-8)T`