JEE Advanced · 2012 · 08 Apr 2012 · Paper 1 · Wave Optics

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Young's double slit experiment is carried out by using green, red and blue light, one color at a time. The fringe widths recorded are

β_{G}, β_{R}

and

β_{B}

, respectively. Then,

(A) $β_{G} > β_{B} > β_{R}$
(B) $β_{B} > β_{G} > β_{R}$
(C) $β_{R} > β_{B} > β_{G}$
(D) $β_{R} > β_{G} > β_{B}$ ✓ Correct

Answer: (D)

Solution

Fringe width

β = \frac{λ D}{d}

is directly proportional to wavelength

λ

. Since

λ_{R} > λ_{G} > λ_{B}

(red has the longest wavelength, blue the shortest), we have

β_{R} > β_{G} > β_{B}

JEE Advanced · 2012 · 08 Apr 2012 · Paper 1 · Single correct option

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