Wave Optics

Two slits are \(1 \mathrm{~mm}\) apart and the screen is located \(1 \mathrm{~m}\) away from the slits. A light of wavelength \(500 \mathrm{~nm}\) is used. The width of each slit to obtain 10 maxima of the double slit pattern within the central maximum of the single slit pattern is __________ \(\times 10^{-4} \mathrm{~m}\).