Q 11 :    

In an electromagnetic wave in free space the root mean square value of the electric field is Erms=6Vm-1. The peak value of the magnetic field is           [2017]
 

  • 2.83×10-8T

     

  • 0.70×10-8T

     

  • 4.23×10-8T

     

  • 1.41×10-8T

     

(1)

Given, Erms=6Vm-1

ErmsBrms=c  or  Brms=ErmscBrms=63×108=2×10-8T

Since, Brms=B02

where B0 is the peak value of magnetic field.

   B0=Brms2=2×10-8×2T

        B02.83×10-8T



Q 12 :    

Out of the following options which one can be used to produce a propagating electromagnetic wave?           [2016]

  • A chargeless particle

     

  • An accelerating charge

     

  • A charge moving at constant velocity

     

  • A stationary charge

     

(2)

An accelerating charge is used to produce oscillating electric and magnetic fields, hence the electromagnetic wave.



Q 13 :    

Light with an energy flux of 25×104Wm-2 falls on a perfectly reflecting surface at normal incidence. If the surface area is 15cm2, the average force exerted on the surface is                  [2014]
 

  • 1.25×10-6N

     

  • 2.50×10-6N

     

  • 1.20×10-6N

     

  • 3.0×10-6N

     

(2)

Here, Energy flux, I=25×104Wm-2

Area, A=15cm2=15×10-4m2

Speed of light, c=3×108ms-1

For a perfectly reflecting surface, the average force exerted on the surface is

F=2IAc=2×25×104Wm-2×15×10-4m23×108m s-1

                 =250×10-8N=2.50×10-6N