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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Wave Optics

NTA Abhyas 2020 · Physics · Wave Optics

A ray of light of intensity I is incident on a parallel glass-slab...

A ray of light of intensity II is incident on a parallel glass-slab at the point AA and it undergoes partial reflection and refraction as shown in the figure. At each reflection,& 2525%of the incident energy is reflected and the rest is transmitted. If the rays ABAB and A′B′A′B′undergo interference, then the ratio ImaxImin\dfrac{Imax}{Imin} is
A ray of light of intensity I is incident on a parallel glass-slab at the point A and it undergoes partial reflection

Options

  1. A4:14: 1
  2. B8:18: 1
  3. C7:17: 1
  4. D49:149: 1

Correct answer

D. 49:149: 1

Step-by-step solution

From figure I1=I4{I}_{1} = \dfrac{I}{4} and I2=9I64→I2I1=916{I}_{2} = \dfrac{9I}{64} \to \dfrac{{I}_{2}}{{I}_{1}} = \dfrac{9}{16}

A ray of light of intensity I is incident on a parallel glass-slab at the point A and it undergoes partial reflection

By using \dfrac{{I}_\max}{{I}_\min} = {\left(\dfrac{\sqrt{\dfrac{{I }_{2}}{{I }_{1}}} + 1}{\sqrt{\dfrac{{I }_{2}}{{I }_{1}}} - 1}\right)}^{2} = {\left(\dfrac{\sqrt{\dfrac{9}{1 6}} + 1}{\sqrt{\dfrac{9}{1 6}} - 1}\right)}^{2} = \dfrac{4 9}{1}
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