If a slit illuminated by sodium light is placed 2 mm from the plane of a mirror, what will be the distance between the consecutive bands formed on a screen 1 m from the slit if the wavelength of sodium light is 5890A° ?

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0.0063

0.01472 cm

0.028

0.864

answer is A.

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Detailed Solution

$\begin{array}{l} d = 4 mm; β = \frac{λD}{d} = \frac{5890 \times 10^{- 10} \times 1}{4 \times 10^{- 3}} \\ = 1472 \times 10^{- 7} m = 0 .01472 cm \end{array}$

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