In Young's double slit experiment, fringes of width are produced on the screen kept at a distance of 1 m from the slit. When the screen is moved away by 5 10⁻² ~m , fringe width changes by 3 10⁻⁵ ~m . The separation between the slits is 1 10⁻³ ~m . The wavelength of light used is......nm.

Step-by-step solution

Since, we know that in Young's double slit experiment. = D d ...(i) ^ = D^ d ...(ii) Subtract Eq. (ii) from Eq. (i), we get - ^ = (D-D^ ) d Substituting the given values; we get 3 10⁻⁵= 5 10⁻² 1 10⁻³ array ll & = 3 10⁻⁸ 5 10⁻² =0.6 10⁻⁶ ~m & =600 10⁻⁹ ~m & =600 ~nm array