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MHT CET 2025 (20 Apr, Shift 2) · Biprism, Thin Films & Other Devices

Biprism, Thin Films & Other Devices question from MHT CET 2025 (20 Apr, Shift 2)

Q11MHT CET 2025 · 20 APR · SHIFT 2Difficult

Biprism, Thin Films & Other Devices

A ray of light of intensity ' I ' is incident on a parallel glass slab at a point ' AA ' as shown in figure. It undergoes partial reflection and refraction. At each reflection 25%25\% of incident energy is reflected. The rays ABAB and A′B′A'B' undergo interference. The ratio ImaxImin\frac{I_{max}}{I_{min}}maxmin is

Figure

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Answer: (b)

  1. Ray AB (reflected at A): I1=0.25I=16I64I_1 = 0.25I = \frac{16I}{64}.
  2. Ray A'B': transmitted 0.75I0.75I, reflected at C 0.25×0.75I0.25\times0.75I, transmitted at A': I2=0.75×0.25×0.75I=9I64I_2 = 0.75\times0.25\times0.75I = \frac{9I}{64}.
  3. ImaxImin=(16+916−9)2=(71)2=49\frac{I_{max}}{I_{min}} = \left(\frac{\sqrt{16}+\sqrt{9}}{\sqrt{16}-\sqrt{9}}\right)^2 = \left(\frac{7}{1}\right)^2 = 49.
  4. So the answer is (b) 49:149 : 1.
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