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?

Question

Physics

Copper

16 September, 05:40

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?

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Daniela Hines · Answer 1

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.