Question

In a two-slit experiment, monochromatic coherent light of wavelength 500 nm passes through a pair of slits separated by 1.30 x 10-5 m. At what angle away from the centerline does the first bright fringe occur

Answer 1

2.20°

Step-by-step explanation:

For the central bright spot, we will use the constructive pattern for a double slit interference,

`m* w = d * Sin\beta`

where w indicates the wavelength

and
`\beta` indicates the angle between the bright spot and center line.

now we will use the given values,

1 × 500 × 10^-9 = 1.3 × 10^-5 × Sin
`\beta`

Solving for
`\beta`,

`\beta` = 2.204° ~ 2.20°

Therefore the correct answer is 2.20°