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. `2.83xx 10^(-8) T `
C. `0.70 xx 10^(-8)`T
D. `4.23xx 10^(-8)T`

Answer

B

Explanation

`(E_(rms))/(B_(rms))=c`
`B_(rms)=(E_(rms))/(c)`
`=(6)/(3xx10^(8))`
`B_(rms)=2xx10^(-8)`
`B_(rms)=(B_(0))/(sqrt(2))`
`B_(0)=sqrt(2)xx B_(rms)`
`= sqrt(2) xx 2 xx 10^(-8)`
`=2.83 xx 10^(-8) T `