Question

Light shined through a single slit will produce a diffraction pattern. Green light (565 nm) is shined on a slit with width 0.210 mm. (a) Find the width of the central maximum located 1.80 m from the slit. (b) Determine the width of the first order bright fringe.

Answer 1

Answer:(a)9.685 mm

(b)4.184 mm

Step-by-step explanation:

Given

Wavelength of light
`(\lambda )=565nm \approx 565* 10^(-9)m`

Width of slit(b)=0.210

(a)Width of central maximum located 1.80m from slit

`=(2\lambda L)/(b)`

`=(2* 565* 10^(-9)* 1.8)/(0.210* 10^(-3))`

=9.685 mm

(b)Width of the first order bright fringe

`Y_1=(\lambda * L)/(b)`

`Y_1=(565* 10^(-9)* 1.8)/(0.210* 10^(-3))`

`Y_1=4.84mm`