In a double slit experiment the two slits are 1mm apart and the screen is placed 1 m away A monochromatic light of wavelength 500 nm is used. What will be the width of each slit for obtaining tenth maxima of double slit within the central maxima of single slit pattern?

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0.5 mm

0.02mm

0.2 mm

0.1 mm

answer is C.

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Detailed Solution

Width of central maxima in single slit pattern

$\begin{matrix} = \frac{2 λ D}{a}; Condition is \frac{10 λ D}{d} = \frac{2 λ D}{a} \\ a = \frac{d}{5 D} = \frac{1}{5} \times 10^{- 3} m; a = 0.2 mm \end{matrix}$

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