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## Homework Statement

In a version of Young’s double slit experiment, the slits are separated by a distance of

1.0 mm. The light from the slits is observed on a screen that is 12 m from the slits. If the

wavelength of the light is 550 nm, what is the linear distance on the screen between the

first order (m = 1) and second order (m = 2) dark fringes?

## Homework Equations

sinθ=(m+1/2)λ/d

## The Attempt at a Solution

sinθ=(1+1/2)550nm/1mm=8.25*10^-4

θ=0.04727°

sinθ=(2+1/2)550nm/1mm=0.001375

θ=0.07878°

tanθ=y/L

y = Ltanθ = 12tan0.04727

y=0.00990 m

y = Ltanθ = 12tan0.07878°

y=0.0165 m

0.165-0.00990=

**0.00660 m**