Student Login

Home›Chapters›Wave Optics PYQs›Superposition, Coherence & Intensity›Question 91

JEE Main 2019 (9 Jan, Shift 1) · Superposition, Coherence & Intensity

Superposition, Coherence & Intensity question from JEE Main 2019 (9 Jan, Shift 1)

Q91JEE Main 2019 · 9 JAN · SHIFT 1Medium

Superposition, Coherence & Intensity

Two coherent sources produce waves of different intensities which interfere. After interference, the ratio of the maximum intensity to the minimum intensity is 16. The intensity of the waves are in the ratio:

Show answer and solution

Answer: (b)

$\frac{\sqrt{I_1}+\sqrt{I_2}}{\sqrt{I_1}-\sqrt{I_2}} = \sqrt{16} = 4$
$\sqrt{I_1} + \sqrt{I_2} = 4\sqrt{I_1} - 4\sqrt{I_2} \Rightarrow \frac{\sqrt{I_1}}{\sqrt{I_2}} = \frac{5}{3}$
$\frac{I_1}{I_2} = \frac{25}{9}$
So the answer is (b) $25 : 9$ .

Report a mistake

More questions on Superposition, Coherence & Intensity

In a Young's double slit experiment, the path difference, at a certain point on the…JEE Main 2019 (11 Jan, Shift 1)
The interference pattern is obtained with two coherent light sources of intensity ratio…NEET 2016 (Phase 2)
Two slits in Young's experiment have widths in the ratio 1: 25. The ratio of intensity at…NEET 2015 (AIPMT)
In a Young's double slit experiment with light of wavelength λ the separation of slits is…JEE Main 2015 (11 Apr, Shift 1)
Two monochromatic light beams of intensity 16 and 9 units are interfering. The ratio of…JEE Main 2014 (11 Apr, Shift 1)
In the Young's double slit experiment, the intensity of light at a point on the screen…NEET 2014 (AIPMT)
n identical waves each of intensity I₀ interfere with each other. The ratio of maximum…JEE Main 2013 (23 Apr, Shift 1)
In Young's double slit experiment, one of the slit is wider than other, so that amplitude…JEE Main 2012 (AIEEE)