Electromagnetic Waves

The electric field associated with an electromagnetic wave travelling in vacuum is given by E0 (3y + 4z + t) i, where is the angular frequency. All quantities are in SI units. The correct statement(s) about this wave is/are: [Given: speed of light in vacuum c = 3 108 ms-1.]

1. The wave is travelling in - 15 (3 j + 4 k ) direction.
2. The magnitude of the wave vector is 0.5 m-1.
3. The value of is 1.5 109 rad s-1.
4. The magnetic field associated with this wave is given by E0c (3y + 4z + t) (4 j - 3 k ).

A cube of unit volume contains 35 107 photons of frequency 1015 Hz. If the energy of all the photons is viewed as the average energy being contained in the electromagnetic waves within the same volume, then the amplitude of the magnetic field is 10-9 T. Taking permeability of free space 0=4 10-7 Tm/A, Planck's constant h=6 10-34 Js and = 227, the value of is