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  • In a two slit experiment with monochromatic light, fringes are obtained on a screen placed at some distance from the slits. If screen is moved by <img alt="5 \times 10-2 \mathrm{~m}" src="https://e

In a two slit experiment with monochromatic light, fringes are obtained on a screen placed at some distance from the slits. If screen is moved by 5 \times 10-2 \mathrm{~m} towards the slits, then change in fringe width is 3 \times 10^{-5} \mathrm{~m}. If the distance between slits is 10-3 \mathrm{m} then wavelength of the light used will be

Option: 1

4000 \AA


Option: 2

6000 \AA


Option: 3

5890 \AA


Option: 4

8000 \AA


Answers (1)

best_answer

\mathrm{\beta=\frac{\lambda d}{d}}
\mathrm{\beta_{1}-\beta_{2}=\frac{\lambda\left(D_{1}-D_{2}\right)}{d} \: or \: \lambda=\frac{d\left(\beta_{1}-\beta_{2}\right)}{D_{1}-D_{2}}}
\mathrm{or \, \lambda=\frac{3 \times 10^{-5} \times 10^{-3}}{5 \times 10^{2}}=6000 \AA}

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Sayak

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