A beam of light consisting of two wavelengths 6500 A and 5200 A is u

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A beam of light consisting of two wavelengths 6500 A and 5200 A is used to obtain interference fringes in Young’s double slit experiment. The distance between the slits is 2 mm and the distance between the plane of the slits and the screen is 120 cm. Find the distance of the

10^{t h}

bright fringe from the central maximum corresponding to shorter wavelength

Options:

A . 1.1 mm

B . 2.6 mm

C . 2.8 nm

D . 3.12 mm

Answer: Option D
:
D

d = 2 m m . D = 120 c m, λ = 5200 ˙ A

y_{b r i g h t} = \frac{n λ D}{d}

y_{10} = \frac{10 \times 5200 \times 10^{- 10} 1.2}{2 \times 10^{- 3}}

= 52 \times 6 \times 10^{- 5} m = 3.12 m m

y_{10} = \frac{10 λ D}{d}

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