Question

A helium-neon laser (λ=633 nm) Illuminates a single sit and 15 observed on a sereen 1.80 m behind the slt. The distance between the first and What is the width (in mm ) of the slit? second minima in the dilfraction pattern is Express your answer in millimeters. 4.35 mm.

Answer 1

To find the width of the slit, use the formula dλ = L * Δy / w, where d is the distance between adjacent bright fringes, λ is the wavelength of the light, L is the distance between the screen and the slit, Δy is the distance between the first and second minima, and w is the width of the slit. Plugging in the values given in the question and converting units, the width of the slit is 12.418 mm.

Step-by-step explanation:

To find the width of the slit in the given situation, we can use the formula for the distance between adjacent bright fringes in a diffraction pattern:

dλ = L * Δy / w

where d is the distance between adjacent bright fringes, λ is the wavelength of the light, L is the distance between the screen and the slit, Δy is the distance between the first and second minima, and w is the width of the slit.

Plugging in the values given in the question, we can rearrange the formula to solve for w:

w = L * Δy / dλ

Substituting the given values, we get:

w = (1.80 m) * (4.35 mm) / (633 nm)

Converting the units, we have:

w = (1.80 m) * (4.35 * 10-3 m) / (633 * 10-9 m)

w = 12.418 mm