A Young’s double slit experiment is conducted with slit separation 10mm, where the screen is 2m away from the slits. If wavelength of light used is 6000A0. If the wavelength is increased by 1000A0, and placed the whole apparatus in water of refractive index 4/3, the new fringe width in mm is

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A Young’s double slit experiment is conducted with slit separation 10mm, where the screen is 2m away from the slits. If wavelength of light used is 6000A⁰. If the wavelength is increased by 1000A⁰, and placed the whole apparatus in water of refractive index 4/3, the new fringe width in mm is

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0.210

0.105

0.315

0.420

answer is B.

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Detailed Solution

$\begin{array}{l} β' = \frac{β}{μ} = \frac{λ' D}{dμ}; β' = \frac{7000 \times 10^{- 10} \times 2}{\frac{4}{3} \times 10 \times 10^{- 3}} \\ = \frac{21}{2} \times 10^{- 5} m = 0 .105 \times 10^{- 3} m = 0 .105 mm \end{array}$