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Two light waves of wavelengths 800 and 600 \mathrm{~nm} are used in Young's double slit experiment to obtain interference fringes on a screen placed 7 \mathrm{~m} way from plane of slits. If the two slits are separated by 0.35 \mathrm{~mm},  then shortest distance from the central bright maximum to the point where the bright fringes of the two wavelength coincide will be ______\mathrm{mm}.

Option: 1

48


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\mathrm{d}=0.35 \mathrm{~mm}, \mathrm{D}=7 \mathrm{~m}
To Coincide, \mathrm{\quad n_{1}\left(\frac{\lambda_{1} D}{d}\right)=n_{2}\left(\frac{\lambda_{2} D}{d}\right)}
                       \frac{\mathrm{n}_{1}}{\mathrm{n}_{2}}=\frac{\lambda_{2}}{\lambda_{1}}=\frac{6}{8}=\frac{3}{4}

3^{\text {rd }}$ Maxima of $\lambda_{1}$ and $4^{\text {th }}$ Maxima of $\lambda_{2} 

\mathrm{Y}=\frac{3 \lambda_{1} \mathrm{D}}{\mathrm{d}}=\frac{3 \times 800 \times 10^{-9} \times 7}{35 \times 10^{-5}}
\mathrm{Y}=3 \times 160 \times 10^{-4} \mathrm{~m}
\mathrm{Y}=48 \mathrm{~mm}

Posted by

Shailly goel

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