Question

In a double-slit interference experiment you are asked to use laser light of different wavelengths and determine the separation between adjacent maxima. You observe that this separation is greatest when you illuminate the double slit with

Answer 1

y = m λ L / d

must use lasers of greater wavelength

Step-by-step explanation:

The expression for the constructive interference of a double slit is

d sin θ = m λ

let's use trigonometry to find the angle

tan θ = y / L

in interference phenomena the angles are small

tan θ= sin θ/ cos θ = sin θ

sin θ = y / L

we subjugate

d y / L = m λ

y = m λ L / d

In this expression we see that the separation of the lines (and) increases linearly with the wavelength, therefore we must use lasers of greater wavelength