Question

A monochromatic light of wavelength 750 nm falls on a slit of width 0.08 mm. The slit is located 75 cm from a back wall. How far is the center of the central bright band to the first dark band? (λ/w = x/L)

Answer 1

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.

Step-by-step explanation:

The distance between the central bright band and the first dark band is given by the formula,

`x=(\lambda L)/(w)`

On substituting the known values,

`\begin{gathered} x=(750*10^(-9)*0.75)/(0.08*10^(-3)) \\ =7.03*10^(-3)\text{ m} \\ =7.03\text{ mm} \end{gathered}`

Final answer:

The distance between the central bright band and the first dark band is 7.03 mm