Q.

If  a  slit illuminated by sodium light is placed  2 mm from the plane of a mirror,  what will be the distance in cm between the consecutive bands formed on a screen 1 m from th slit if the wavelength of sodium light is 5890A0 ?

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a

0.01472

b

0.864

c

0.028

d

0.0063

answer is A.

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Detailed Solution

Image of the slit will be another virtual source.

therefore d = separation,, between,, coherent ,sources =4,mm

therefore Distance,, between, consecutive, bands=fringe,, width=frac{lambda D}{d}=frac{5890times10^{-8}times10^2}{0.4},cm

                                                                                                                       0.014725,, cm

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If  a  slit illuminated by sodium light is placed  2 mm from the plane of a mirror,  what will be the distance in cm between the consecutive bands formed on a screen 1 m from th slit if the wavelength of sodium light is 5890A0 ?