Q 1 :    

In the given electromagnetic wave Ey=600sin(ωt-kx)Vm-1, intensity of the associated light beam is (in W/m2)

(Given ε0=9×10-12C2N-1m-2)               [2024]

  • 729

     

  • 243

     

  • 972

     

  • 486

     

(D)     Intensity, I=12ϵ0E02cI=92×36×3=486W/m2

 



Q 2 :    

A plane electromagnetic wave propagating in x-direction is described by

 

Ey=(200Vm-1)sin[1.5×107t-0.05x];

 

The intensity of the wave is

 

(Use ε0=8.85×10-12C2N-1m-2)              [2024]

  • 35.4 Wm-2

     

  • 53.1 Wm-2

     

  • 26.2 Wm-2

     

  • 106.2 Wm-2

     

(B)     I=12ε0E02×c

          I=53.1 W/m2

 



Q 3 :    

In a plane EM wave, the electric field oscillates sinusoidally at a frequency of 5×1010Hz and an amplitude of 50Vm-1. The total average energy density of the electromagnetic field of the wave is [Use ε0=8.85×10-12C2/Nm2]                       [2024]

  • 1.106×10-8Jm-3

     

  • 2.212×10-10Jm-3

     

  • 4.425×10-8Jm-3

     

  • 2.212×10-8Jm-3

     

(A)     UE=12ϵ0E2

            UE=12×8.85×10-12×(50)2=1.106×10-8J/m3