AP EAMCET20224 Jul 2022Evening ShiftPhysicsElectromagnetic WavesActual
The electric field E and magnetic field B of an electromagnetic wave passing through vacuum are given by E = E 0 sin k x - ω t B = B 0 sin k x - ω t Then the correct statement among the following is
Options
- AE 0 k = B 0 ω
- BE 0 ω = B 0 k
- CE 0 B ∘ = ω k
- DE 0 B 0 = ω k
Correct answer
A. E 0 k = B 0 ω
Step-by-step solution
We know that the speed of a wave is given by, v = ω k   . . . i and the speed of the electromagnetic wave in vacuum is given by, c = E 0 B 0   . . . ( ii ) So, the speed of the electromagnetic wave, using i and ii is, ω k = E 0 B 0 ⇒ E 0 k = B 0 ω .