JEE Main2018PhysicsElectromagnetic WavesActual
A monochromatic beam of light has a frequency v = 3 2 π × 10 12 Hz and is propagating along the direction i ^ + j ^ 2 . It is polarized along the k ^ direction. The acceptance form the magnetic field is:
Options
- AE 0 C i ^ + j ^ 2 Cos 10 4 i ^ + j ^ 2 . r → - 3 × 10 12 t
- BE 0 C k ^ Cos 10 4 i ^ + j ^ 2 . r → + 3 × 10 12 t
- CE 0 C i ^ - j ^ 2 Cos 10 4 i ^ + j ^ 2 . r → + 3 × 10 12 t
- DE 0 C i ^ + j ^ + k ^ 3 Cos 10 4 i ^ + j ^ 2 . r → + 3 × 10 12 t
Correct answer
C. E 0 C i ^ - j ^ 2 Cos 10 4 i ^ + j ^ 2 . r → + 3 × 10 12 t
Step-by-step solution
E ^ × B ^ should have given direction of wave propagation, ⇒     K ^ × B ^ ∥   i ^ + j ^   2     K ^ × i ^ + j ^   2 = j ^ - - i ^ 2 = i ^ + j ^   2   ∥ i ^ + j ^   2     . Wave propagation vector K ^ should be along i ^ + j ^   2 .