The fringe width changes from 0.24 mm to 0.3 mm when the screen is moved by 20 c

Question

The fringe width changes from 0.24 mm to 0.3 mm when the screen is moved by 20 cm away from the slits separated by 2 mm. calculate the wavelength of light used.

Options:

A . 400 nm

B . 500 nm

C . 600 nm

D . 700 nm

Answer: Option C
:
C

β_{1} = \frac{λ D}{d}, β_{2} = \frac{λ (D + 0.20)}{d}

\Rightarrow D = 0.8 m

β = \frac{λ D}{d}

;

λ = 600 n m

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