A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the distance from the slit to the screen is doubled?

y and length is directly relation

Explanation:

Given data

A single-slit diffraction pattern is formed on a distant scree

angles involved = small

to find out

what factor will the width of the central bright spot on the screen change

solution

we know that for single slit screen formula is

mass ƛ / area = sin θ and y/L = sinθ

so we can say mass ƛ / area = y/L

and y = mass length ƛ / area ... 1

in equation 1 here we can see y and length is directly relation so we can say from equation 1 that the width of the central bright spot on the screen change if the distance from the slit to the screen is doubled