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

NTA Abhyas 2020 · Physics · Wave Optics

In Young's double-slit experiment, the ratio of intensities of a...

In Young's double-slit experiment, the ratio of intensities of a bright band and a dark band is 16:116: 1.& The ratio of amplitudes of interfering waves will be

Options

  1. A16:116: 1
  2. B4:14: 1
  3. C3:13: 1
  4. D5:35: 3

Correct answer

D. 5:35: 3

Step-by-step solution

Since Imax.Imin.=161\dfrac{{I}_{max .}}{{I}_{min .}} = \dfrac{16}{1}

(I1+I2)2(I1−I2)2=161\dfrac{{( \sqrt{{I}_{1}} + \sqrt{{I}_{2}} )}^{2}}{{( \sqrt{{I}_{1}} - \sqrt{{I}_{2}} )}^{2}} = \dfrac{16}{1}

I1+I2=4I1−4I2\sqrt{{I}_{1}} + \sqrt{{I}_{2}} = 4\sqrt{{I}_{1}} - 4\sqrt{{I}_{2}}

A1+A2=4A1−4A2{A}_{1} + {A}_{2} = 4A{}_{1} - 4{A}_{2}

3A1=5A23{A}_{1} = 5{A}_{2}

⇒A1A2=53⇒ \dfrac{{A}_{1}}{{A}_{2}} = \dfrac{5}{3}
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