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BITSAT 2016
Exam
BITSAT
Year
2016
Subject
Physics
Chapter
Ray Optics

BITSAT 2016 · Physics · Ray Optics

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

A ray of light of intensity I is incident on a parallel glass slab at point AA as shown in diagram. It undergoes partial reflection and refraction. At each reflection, 25%25 \% of incident energy is reflected. The rays AB\mathrm{AB} and A′B′\mathrm{A}^{\prime} \mathrm{B}^{\prime} undergo interference. The ratio of Imax⁡\mathrm{I}_{\max } and Imin⁡\mathrm{I}_{\min } is : A ray of light of intensity I is incident on a parallel glass slab at point A as shown in diagram. It undergoes partial

Options

  1. A49: 1
  2. B7: 1
  3. C4: 1
  4. D8: 1

Correct answer

A. 49: 1

Step-by-step solution

From figure \mathrm{I}_{1}=\frac{\mathrm{I}}{4} and \mathrm{I}_{2}=\frac{9\mathrm{I}}{64} By using Imax⁡Imin⁡=(I2I1+1I2I1−1)2=(916+1916−1)2=491\begin{aligned} \text{ By using } \frac{\mathrm{I}_{\max }}{\mathrm{I}_{\min }} &=\left(\frac{\sqrt{\frac{\mathrm{I}_{2}}{\mathrm{I}_{1}}}+1}{\sqrt{\frac{\mathrm{I}_{2}}{\mathrm{I}_{1}}}-1}\right)^{2} \\ &=\left(\frac{\sqrt{\frac{9}{16}}+1}{\sqrt{\frac{9}{16}}-1}\right)^{2}=\frac{49}{1} \end{aligned}$$
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