Question

A double-slit interference experiment is performed with blue-green light from an argon-gas laser. The separation between the slits is 0.50 mm, and the first-order maximum of the interference pattern is at an angle of 0.059° from the center of the pattern. What is the wavelength of argon laser light, in nanometers?

Answer 1

Step-by-step explanation:

The angular position of first order maximum = λ /d where λ is wavelength and d is slit separation

.059⁰ = ( π / 180 ) x .059 radian

= 1.02922 x 10⁻³ radian .

Given

1.02922 x 10⁻³ = λ /d

λ = d x 1.02922 x 10⁻³

= .5 x 10⁻³ x 1.02922 x 10⁻³

= .51461 x 10⁻⁶ m

= 514.61 x 10⁻⁹ m

= 514.61 nm .