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AIIMS 2009
Exam
AIIMS
Year
2009
Subject
Physics
Chapter
Wave Optics

AIIMS 2009 · Physics · Wave Optics

In Young's double slit experiment, the two slits act as coherent...

In Young's double slit experiment, the two slits act as coherent sources of equal amplitude aa and of wavelength λ\lambda. In another experiment with the same set up, the two slits are sources of equal amplitude aa and wavelength λ\lambda, but are incoherent. The ratio of intensities of light at the mid point of the screen in the first case to that in the second case is

Options

  1. A2:12: 1
  2. B1:21: 2
  3. C3:43: 4
  4. D4:34: 3

Correct answer

A. 2:12: 1

Step-by-step solution

When sources are coherent, intensity at mid point is Imax⁡=(a+a)2=4a2I_{\max }=(a+a)^2=4 a^2 When sources are incoherent, no interference occurs. Intensity at mid point is I=I1+I2=a2+a2=2a2∴Imax I=4a22a2=2:1\begin{aligned} & I=I_1+I_2=a^2+a^2=2 a^2 \\ & \therefore \frac{I_{\text{max }}}{I}=\frac{4 a^2}{2 a^2}=2: 1\end{aligned}
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