In a single slit diffraction pattern, a light of wavelength \( 6000 \, \mathring{A} \) is used. The distance between the first and third minima in the diffraction pattern is found to be \( 3 \, \text{mm} \) when the screen in placed \( 50 \, \text{cm} \) away from slits. The width of the slit is __________ \( \times 10^{-4} \, \text{m} \).
