MCQ
In a two slit experiment with monochromatic light fringes are obtained on a screen placed at some distance from the sits. If the screen is moved by $5 \times 10^{-2} m$ towards the slits, the change in fringe width is $3 \times 10^{-5} m$. If separation between the slits is $10^{-3} m$, the wavelength of light used is
  • (a) $6000 \AA$
  • B
    (b) $5000 \AA$
  • C
    (c) $3000 \AA$
  • D
    (d) $4500 \AA$

Answer

Correct option: A.
(a) $6000 \AA$
(a) $P$ is the position of 11 bright fringe from $Q$. From central position $O, P$ will be the position of $10^*$ bright fringe.Path difference between the waves reaching at $P=S B=10 \lambda=$ $10 \times 6000 \times 10^{-}=6 \times 10^{-} m$.

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