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 acceptable form for the magnetic field is

E 0 C i ^ - j ^ 2 cos 10 4 i ^ - j ^ 2 ⋅ r → - 3 × 10 12 t

E 0 C i ^ + j ^ + k ^ 3 cos 10 4 i ^ + j ^ 2 ⋅ r → + 3 × 10 12 t

E 0 C i ^ - j ^ 2 cos 10 4 i ^ + j ^ 2 ⋅ r → - 3 × 10 12 t

E 0 C k ^ cos 10 4 i ^ + j ^ 2 ⋅ r → - 3 × 10 12 t

Magnetic field in a plane electromagnetic wave is given by, B → = B 0 sin k x + ω t j ^ T . Expression for corresponding electric field will be: (Where c is speed of light)

E → = B 0 c sin k x + ω t k ^ V m - 1

E → = - B 0 c sin k x + ω t k ^ V m - 1

E → = B 0 c sin k x - ω t k ^ V m - 1

E → = B 0 c sin k x + ω t k ^ V m - 1

Consider an electromagnetic wave propagating in vacuum. Choose the correct statement:

For an electromagnetic wave propagating in + x direction the electric field is E → = 1 2 E y z x , t y ^ - z ^ and the magnetic field is B → = 1 2 B y z x , t y ^ + z ^

For an electromagnetic wave propagating in + y direction the electric field is E → = 1 2 E y z x , t z ^ and the magnetic field is B → = 1 2 B z x , t y ^

For an electromagnetic wave propagating in + y direction the electric field is E → = 1 2 E y z x , t y ^ and the magnetic field is B → = 1 2 B yz x , t z ^

For an electromagnetic wave propagating in + x direction the electric field is E → = 1 2 E y z y , z , t y ^ + z ^ and the magnetic field is B → = 1 2 E y z y , z , t y ^ + z ^