Question

In a young's double-slit experiment, the angle that locates the second dark fringe on either side of the central bright fringe is 6.5 degrees. find the ratio d/λ of the slit separation d to the wavelength λ of the light.

Answer 1

Answer:

(d/λ) = 17.67

Explanation:

Equation for double-slit:

d*sinθ = m*λ

Rearrange the equation

(d/λ) = m/(sinθ)

Since it is at the second dark fringe, m = 2

Therefore:

(d/λ) = 2/(sin(6.5)

(d/λ) = 17.67