JEE MainPhysicsElectromagnetic WavesMCQ+4 / −1
A light wave is incident normally on a glass slab of refractive index 1.5. If 4 % of light gets reflected and the amplitude of the electric field of the incident light is 30 V/m, then the amplitude of the electric field for the wave propagating in the glass medium will be :
- A6 V/m
- B10 V/m
- C30 V/m
- D24 V/m
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Correct answer: D
-
Given data
- Refractive index of glass:
- Reflected light intensity fraction:
- Incident electric field amplitude:
-
Relate intensity and electric field amplitude
For an electromagnetic wave, intensity is proportional to the square of the electric field amplitude:
Hence, if of the light is reflected, then the reflected field amplitude satisfies
Therefore,
-
Use boundary condition for normal incidence
At the boundary, the tangential component of electric field is continuous, so where is the transmitted electric field amplitude in glass.
Thus,
Since reflection from a denser medium introduces a phase change of , the reflected electric field is opposite in sign. So effectively,
-
Final answer
-
Option check
- A: reflected amplitude, not transmitted
- B: incorrect
- C: incorrect
- D: correct
Therefore, the amplitude of the electric field in the glass medium is .
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