In a single slit experiment, a parallel beam of green light of wavelength 550 nm passes through a slit of width 0.20 mm. The transmitted light is…

In a single slit experiment, a parallel beam of green light of wavelength $\displaystyle 550$ nm passes through a slit of width $\displaystyle 0.20$ mm. The transmitted light is collected on a screen $\displaystyle 100$ cm away. The distance of first order minima from the central maximum will be $\displaystyle x \times 10^{-5} \mathrm{~m}$. The value of $\displaystyle x$ is :