In Young's double slit experiment, fringes of certain width are produced on the screen kept at a certain distance from the slits. When the screen is moved away from the slits by $0.1$m, fringe width increase by $6\times {10}^{-5}m$. The separation between the slits is 1 mm. Calculate the wavelength of the light used.

Q. In Young's double slit experiment, fringes of width $\beta$ are produced on a screen kept at a distance of $1m$ from the slit. When the screen is moved away by $5\times {10}^{-2}m$, fringe width changes by $3\times {10}^{-5}m$. The separation between the slits is $1\times {10}^{-3}m$. The wavelength of the light used is ________ $nm$.

Q. In Young's double slit experiment, using monochromatic light, fringes are obtained on a screen placed at some distance from the slits. If the screen is moved by $5\times {10}^{-2}m$ towards the slits, the change in the fringe width is $3\times {10}^{-5}m$. If the distance between the two slits is ${10}^{-3}m$, calculate wavelength of the light used.

Q. In Young's double slit experiment, the slits are separated by $0.28mm$ and the screen is placed at a distance of $1.4m$ away from the slits. The distance between the central bright fringe and the fifth dark fringe is measured to be $1.35cm$. Calculate the wavelength of the light used. Also find the fringe width if the screen is moved $0.4m$ towards the slits, for the same experimental setup.

Q. In Young's double slit experiment using monochromatic light of wavelength $600$nm, interference pattern was obtained on a screen kept $1.5$m away from the plane of the two slits. Calculate the distance between the two slits, if fringe separation/fringe width was found to be $1.0$mm.

Q. In a Young's double slit experiment distance between the slits is 1 mm. The fringe width is found to be 0.6 mm. When the screen is moved through a distance of 0.25 m away from the plane of the slit, the fringe width becomes 0.75 mm. Find the wavelength of light used.