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  • (a) In Young’s double slit experiment, the two slits are illuminated by two different lamps having same wavelength of light. Explain with reason, whether interference pattern will be observed on the screen or not. (b) Light waves from two

(a) In Young’s double slit experiment, the two slits are illuminated by two different lamps having same wavelength of light. Explain with reason, whether interference pattern will be observed on the screen or not.
(b) Light waves from two coherent sources arrive at two points on a screen with path differences of 0 and  \frac{\lambda }{2}. Find the ratio of intensities at the points.

 

 

 
 
 
 
 

Answers (1)

a) The condition for interference is the source must be coherent. Two different lamps will have a different phase. Therefore the interference will not be observed on the screen.
b) The relation between path difference  x and the phase difference \phi is
 \phi = \frac{2\pi }{\lambda }\times \bigtriangleup x
given path difference is 0 & \frac{\lambda }{2}
\therefore \phi _{1}= \frac{2\pi }{\lambda }\times 0= 0
    \phi _{2}= \frac{2\pi }{\lambda }\times \frac{\lambda }{2}= \pi
I\propto \cos ^{2}\left ( \frac{\phi }{2} \right )
\frac{I_{1}}{I_{2}}= \frac{1}{0}= \infty

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Safeer PP

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