The magnetic field in a plane electromagnetic wave is given by
`B_(y)=5xx10^(-7)sin(2pixx10^(8)t+(2pi)/(3)x)T,`
Find (i) wavelength (ii) frequency.

Explanation

As we know, magnetic field in a plane,
`i.e.,B_(y)=5xx10^(-7)sin(2pixx10^(8)t+(2pi)/(3)xx)T`
Comparing it with general equation, `B_(y)=B_(0)sin(omegat+Kx)T`
`impliesK=(2pi)/(3)implies(2pi)/(lamda)=(2pi)/(3)`
Wavelength, `lamda=3m`
`implies2pixx10^(8)=omega`
`2pixx10^(8)=2pif`
Frequency, `f=10^(8)Hz`