The distance between the slits in the two-slit experiment is 1.50 × 10^-5 m. A beam of light of wavelength 600 nm is used and the distance between the slit and the screen is 2.00 m. What is the distance on the screen between the central bright fringe and the 4th order bright fringe? A) 0.132 m B) 0.201 m C) 0.324 m D) 0.528 m E) 0.688 m

Question

Quizplus · Accepted Answer

The distance between the central bright fringe and the nth order bright fringe is given by:

yₙ = nλL/d

where:
n = order of bright fringe
λ = wavelength of light
L = distance between slit and screen
d = distance between the slits

For the central bright fringe, n = 0, so:

y₀ = (0)(600 nm)(2.00 m)/1.50 × 10⁻⁵ m = 0 m

For the 4th order bright fringe, n = 4, so:

y₄ = (4)(600 nm)(2.00 m)/1.50 × 10⁻⁵ m ≈ 0.324 m

Therefore, the distance between the central bright fringe and the 4th order bright fringe is:

y = y₄ - y₀ ≈ 0.324 m - 0 m = 0.324 m

The best choice is C.

The Distance Between the Slits in the Two-Slit Experiment Is