Optics 6 Question 16

18. Young’s double slit experiment is carried out by using green, red and blue light, one colour at a time. The fringe widths recorded are $\beta _G, \beta _R$ and $\beta _B$ respectively.

Then,

(a) $\beta _G>\beta _B>\beta _R$

(b) $\beta _B>\beta _G>\beta _R$

(c) $\beta _R>\beta _B>\beta _G$

(d) $\beta _R>\beta _G>\beta _B$

(2012)

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Solution:

  1. Fringe width $\beta=\frac{\lambda D}{d}$ or $\beta \propto \lambda$

Now, $\lambda _R>\lambda _G>\lambda _B$

$$ \therefore \quad \beta _R>\beta _G>\beta _B $$



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