QJEEM23Phd700: JEE Main 2023 Physics - Class 12 JEEM23Phd700 Solution: Two light waves of wavelengths 800 and are used in Young's…

Question

Verified Solution • 2025–26 Session moderate

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}

away 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}

.

Accepted Answer

\omega_{1}=\frac{\lambda_{1} D}{d}

and

\omega_{2}=\frac{\lambda_{2} D}{d}

\omega_{1}=16 \mathrm{~mm}

and

\omega_{2}=12 \mathrm{~mm}

So

\operatorname{LCM}\left(\omega_{1}, \omega_{2}\right)=48 \mathrm{~mm}

So at

48 \mathrm{~mm}

distance both bright fringes will be found.

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