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1)

In the Young's double-slit experiment using a monochromatic ;light of wavelength λ the path difference (in terms of an integer n)  corresponding  to any point having half the peak intensity is 


A) (2n+1)λ2

B) (2n+1)λ4

C) (2n+1)λ8

D) (2n+1)λ16

Answer:

Option B

Explanation:

I=Imaxcos2ϕ2    ...............(i)

  Given,         I=Imax2.........(ii)

 From Eqs( i) and (ii) , we have

   ϕ=π2,3π2,5π2  

  Or path difference ,  x=(λ2π).ϕ

       x=λ4,3λ4,5λ4,.....(2n+14)λ