Question

A laser beam is incident on two slits with a separation of 0.170 mm, and a screen is placed 5.35 m from the slits. An interference pattern appears on the screen. If the angle from the center fringe to the first bright fringe to the side is 0.190°, what is the wavelength of the laser light?

Answer 1

Step-by-step explanation:

slit separation d = .17 x 10⁻³ m.

Screen distance D = 5.35 m

angular separation of fringe = λ /d ; λ is wavelength.

Given angular separation in radian

180° = π radian

.19° =
`(\pi*.19)/(180)`

=.0033 radian

.0033 =
`(\lambda)/(d)`

λ = .0033 x d

= .0033 x .17 x 10⁻³

= 561 x 10⁻⁹

= 561 nm.