First slide

Coherent sources and their importance in interference

Question

A Lloyd’s mirror of length 5 cm is illuminated with monochromatic light of wavelength $λ (= 6000 \overset{0}{A})$ from a source 5 cm from its near edge. Find the fringe width on a screen 120 cm from the source . The perpendicular distance of the source from the mirror is 1 mm.

Moderate

A

36 cm
B

3.6 cm
C

0.36 cm
D

0.036 cm

Solution

$I n a p l a n e m i r r o r, i m a g e i s f o r m e d b e h i n d i t a s t h e o b j e c t i s i n f r o n t o f i t . S o, d = 2 m m = 0.2 c m, D = 120 c m, λ = 6000 \overset{0}{A} = 6000 \times 10^{- 8} c m . T h e r e f o r e, f r i n g e w i d t h, β = \frac{λ D}{d} = \frac{6 \times 10^{- 5} \times 120}{0.2} = 0.036 c m$

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