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AIIMS 2012
Exam
AIIMS
Year
2012
Subject
Physics
Chapter
Wave Optics

AIIMS 2012 · Physics · Wave Optics

Two sinusoidal waves of intensity I having same frequency and same...

Two sinusoidal waves of intensity II having same frequency and same amplitude interferes constructively at a point. The resultant intensity at a point will be

Options

  1. AII
  2. B2I2 I
  3. C4I4 I
  4. D8I8 I

Correct answer

C. 4I4 I

Step-by-step solution

The resultant intensity is given by IR=I1+I2+21cos⁡ϕI_R=I_1+I_2+2 \sqrt{1} \cos \phi For constructive interference, cos⁡ϕ=1∴IR=I1+I2+212orIR=4I\cos \phi=1 \therefore \quad I_R=I_1+I_2+2 \sqrt{12} or I_R=4 I \quad (Given I1=I2=I)\left.I_1=I_2=I\right)
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