In a two-slit experiment,a third-order bright fringe is observed at an angle of 7.10° away from the centerline.If the wavelength of light is 595 nm,how far apart are the two slits?

Question

Quizplus · Accepted Answer

We can use the formula for the location of the bright fringes in a two-slit experiment:
y = (mλL) / d
where y is the distance from the centerline to the bright fringe, m is the order of the fringe, λ is the wavelength of light, L is the distance from the slits to the screen, and d is the distance between the two slits.

We are given:
m = 3
y = tan(7.10°)L
λ = 595 nm = 5.95 × 10^-7 m

We want to solve for d. First, we can find L:
L = y / tan(7.10°) = 0.0159 m

Substituting in the given values and solving for d, we get:
d = (mλL) / y = (3)(5.95 × 10^-7 m)(0.0159 m) / tan(7.10°) = 1.44 × 10^-5 m

Therefore, the distance between the two slits is 1.44 × 10^-5 m, which is answer choice A.

In a Two-Slit Experiment,a Third-Order Bright Fringe Is Observed at an Angle