In a certain double slit experimental arrangement interference fr… - Vidyadip

MCQ

In a certain double slit experimental arrangement interference fringes of width $ 1.0 mm$ each are observed when light of wavelength $ 5000 Å $ is used. Keeping the set up unaltered, if the source is replaced by another source of wavelength $6000 Å, $ the fringe width will be......$mm$

A
$0.5 $
B
$1$
✓
$1.2 $
D
$1.5 $

✓

Answer

Correct option: C.

$1.2 $

c
(c)$\frac{{{\beta _1}}}{{{\beta _2}}} = \frac{{{\lambda _1}}}{{{\lambda _2}}}$or $\frac{{1.0}}{{{\beta _2}}} = \frac{{5000}}{{6000}}$or ${\beta _2} = \frac{{6000}}{{5000}} = 1.2\;mm$.

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