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(c ≈ 3.00 x 108 m/s;   εo ≈ 8.85 x 10–12 N-m2/C2;   μo = 4π x...

  1. (c ≈ 3.00 x 108 m/s;   εo ≈ 8.85 x 10–12 N-m2/C2;   μo = 4π x 10–7 T-m/A)

(a) A plane electromagnetic wave of wavelength 2.00 m travels in vacuum in the negative x-direction with its magnetic field vector B, of amplitude 1.20 μT, directed along the positive y-axis.

            (i)   What is the frequency, f, of the wave? [2]

            (ii) What are the direction and the amplitude, Eo, of the electric field vector E associated with the wave ? [4]

            (iii) If  B =  Bocos ( kx +  ωt ) in SI units , what are the values of k and ω? [4]

            (iv) If the wave falls perpendicularly on to a perfectly reflecting sheet of area 1.60 m2, at what rate is momentum delivered to the sheet, and what is the radiation pressure on it ? [6]

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