Given:
The wavelength of the light used, λ=750 nm
The width of the slit, w=0.08 mm=0.08×10⁻³ m
The distance between the slit and teh screen, L=75 cm=0.75 m
To find:
The distance between the central bright band and the first dark band.
Explanation:
The distance between the central bright band and the first dark band is given by the formula,
[tex]x=\frac{\lambda L}{w}[/tex]On substituting the known values,
[tex]\begin{gathered} x=\frac{750\times10^{-9}\times0.75}{0.08\times10^{-3}} \\ =7.03\times10^{-3}\text{ m} \\ =7.03\text{ mm} \end{gathered}[/tex]Final answer:
The distance between the central bright band and the first dark band is 7.03 mm
