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AIIMS 2011
Exam
AIIMS
Year
2011
Subject
Physics
Chapter
Wave Optics

AIIMS 2011 · Physics · Wave Optics

In an interference, the intensity of two interfering waves are I...

In an interference, the intensity of two interfering waves are II and 4I4 I respectively. They produce intensity at two points AA and BB with phase angle of π/2\pi / 2 and π\pi respectively. Then difference in between them is

Options

  1. AII
  2. B2I2 I
  3. C4I4 I
  4. D5I5 I

Correct answer

C. 4I4 I

Step-by-step solution

Resultant intensity, I=I_1+I_2+2 I1I2cos⁡ϕ\sqrt{I_1 I_2} \cos \phiHere, I1=I,I2=4I,ϕ1=π2I_1=I, I_2=4 I, \phi_1=\frac{\pi}{2} and ϕ2=π\phi_2=\pi At AA intensity, I_A=I+4 I+2 4I2cos⁡π2=\sqrt{4 I^2} \cos \frac{\pi}{2}=5 I At BB intensity, I_B=I+4 I+2 4I2cos⁡π=\sqrt{4 I^2} \cos \pi=5 I-4 I=I Therefore, difference between intensities is I_A-I_B=5 I-I=4 I
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