Q.

An electromagnetic wave of intensity I falls on a surface kept in vacuum and exerts radiation pressure P on it. Choose wrong option from the following:

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a

Radiation pressure is 2IC if the wave is totally reflected.

b

Radiation pressure is IC if the wave is totally absorbed.

c

Radiation pressure is in the range IC<P<2IC for real surfaces.

d

Radiation pressure is IC if the wave is totally reflected.

answer is B.

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Detailed Solution

Radiation pressure P is the force exerted by electromagnetic wave on unit area of the surface. I.e, the rate of change of momentum per unit area of the surface.
Momentum per unit time per unit area is  intensityspeedofwave=IC 
Change in momentum per unit time per unit area =ΔIC=radiation pressure (p)

Momentum of incident wave per unit time per unit area =IC 
When wave is fully absorbed by the surface, the momentum of the reflected wave per unit time per unit area is zero.
Radiation pressure (P)= change in momentum per unit time per unit area ΔIC=IC0=IC
When wave is totally reflected , then momentum of the reflected wave per unit time per unit area is IC 
Radiation pressure P=ICIC=2IC here, P lies between IC&2IC  
 

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