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Consider an electromagnetic wave traveling in vacuum. Recall that the speed of light in vacuum is c = 3 x 10⁸ m/s. The electric field corresponding to this wave is given by:

E^→ = (10V/m)cos(ky+2Π.10¹²s^-1 .t)i^ + (10V/m)cos(ky+2Π.10¹²s^-1 .t)k^{^}

Here i^, j^, and k^ are perpendicular unit vectors associated with the Cartesian coordinates x, y, and z respectively.

(a) What is the direction of propagation of this wave?

(b) What is the frequency f in Hertz and the wavelength λ in meters?

(d) A totally absorbing detector of area A = 10 cm2 lies perpendicularly to the direction of propagation. How much energy is absorbed by the detector in one second?

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