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In Young's double slit experiment using a monochromatic light of wavelength \lambda , the path difference (in terms of integer) corresponding to any point having half of peak intensity is
 

Option: 1

\left ( 2n+1 \right )\frac{\lambda }{2}


Option: 2

\left ( 2n+1 \right )\frac{\lambda }{4}


Option: 3

\left ( 2n+1 \right )\frac{\lambda }{8}

 


Option: 4

\left ( 2n+1 \right )\frac{\lambda }{16}


Answers (1)

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Answer (2)
I=I_{max}\cos ^2\left ( \frac{\phi }{2} \right )\\\frac{1}{2}=\cos ^2\left ( \frac{\phi }{2} \right )\\\Delta x=\left ( 2n+1 \right )\frac{\lambda }{4}

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Gaurav

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