physics issues

physics issues

Can you please help me with this all problems.
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*Write an expression for a R – state lightwave of angular frequency ? and amplitude E0 propagating in the positive x-direction such that at t=0 and x=0 the E-field points in the negative z-direction.

*Given a plane harmonic wave of wavelength ?, propagating with a speed v in a direction given by the unit vector (i ^+ j ^ )/v2 in Cartesian coordinates. Write an expression for the wave function. Here i ^ ,j ^,k ^ are the usual unit basis vectors

*A plane electromagnetic wave moving through free space has an E- field given by E_x=0; E_y=0; E_z=100 sin?[8p×?10?^14 (t- x/(3×?10?^8 ))]. Calculate the corresponding flux density.

*Given a planar electromagnetic wave in vacuum whose B-field is denoted by Bx = 0, Bz = 0, B_y = 66.7 × ?10?^(-8) sin 4?p?10?^6 (z-3×?10?^8 t) Write an expression for the E-field. What are wavelength, speed and direction of motion of the disturbance?

*We wish to compare the times of flight of two light beams; one in a tank of carbon tetrachloride ( n = 1.46 ), the other in air ( n = 1.0 ). If the path lengths are made identical, how long must the tank be when a millionth of a second difference in the transit times is required?

*A laser emits a 2-mm diameter beam of highly collimated light, at a power level, or radiation flux, of 100 mW. Neglecting any divergence of the beam, compute its irradiance

*Consider radiant energy of wavelengths ?0 = 10-12 m (?- ray), ?0 = 500 nm (green light) and ?0 = 1 cm (microwave). How many photons of each are needed to carry 1 erg of energy? ( 1 J = 107 erg )

*Consider the plane electromagnetic wave (in SI units) given by the expressions E_x=0 ; E_y=2 cos?? [2p×?10?^14 (t- x/c)+ p/2]? ; E_z=0. What are the frequency, wavelength, direction of motion, amplitude, initial phase angle, and polarization of the wave? Write an expression for the magnetic flux density.

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