The electric field component of a plane wave in vacuum is given by

PHYSICS · Single correct · CBSE · Physics · Electromagnetic Waves · Electromagnetic Waves

Problem

E(x,t)=300 \sin(kx-3.0\times10^{15} t)\,\text{N C}^{-1}

. The associated magnetic field has the form

B(x,t)=B_0 \sin(kx-3.0\times10^{15} t)\,\text{T}

. Which pair of values of

(k,\,B_0)

will make the two fields represent a self-consistent electromagnetic wave in vacuum? (Take

c=3.0\times10^{8}\,\text{m s}^{-1}

.) (a)

1.0\times10^{7}\,\text{m}^{-1},\;5.0\times10^{-7}\,\text{T}

(b)

4.8\times10^{6}\,\text{m}^{-1},\;1.0\times10^{-6}\,\text{T}

(c)

1.0\times10^{7}\,\text{m}^{-1},\;1.0\times10^{-6}\,\text{T}

(d)

1.5\times10^{7}\,\text{m}^{-1},\;1.0\times10^{-6}\,\text{T}