light illuminates two closely spaced thin slits and produces an interference pattern on a screen behind.?

Question

light illuminates two closely spaced thin slits and produces an interference pattern on a screen behind. how will the distance between fringes of the pattern differ for red light and blue light?

Answer 1

The distance between fringe patterns is given by
β = Dλ/d
Where

β = Width
λ = Wavelength
D = Distance between source and screen
d = seperation of the two slits

As the wavelength of red is more than blue, hence the fringe width will be more for red light

@Bladecrimson
The double slit experiment is used for photons as well since by the dual nature of light waves, they can behave as particles as well
Infact, their wave nature is wat allows them to behave that way
The double slit was originally ONLY for waves and electrons etc can participate only becoz their dual naute allows them wave properties

Answer 2

Let the distance between successive bright (or dark) bands be y.

Let the perpendicular distance from the double slit to the screen be L.

Let the slit separation be d

and, of course, the wavelength is λ .

The quantities are related by the equation


λ = yd/L

Rearrange the equation to make y the subject of the formula:

y =λ L/d

It can be clearly seen that, with the other factors constant, if the wavelength increases (red has longer wavelength than blue), the distance between the successive bands will also increase.

You can freely rearrange the equation to make any of the factors the subject of the formula. Then vary one (or more) on the right to see how the subject will be affected.

Answer 3

The double-slit experiment is intended for particles - Electrons, pieces of matter, not energy, which photons are...

Regardless of the fact that a photon will exhibit characteristics of a particle, in certain measurement techniques, it never, ever, has mass, and always remains electromagnetic radiation. The test was to show that particles (matter), at the quantum level, appeared to become a wave function of potential, not EM radiation, a unknown wave form, that collapsed when observed by a observer. No duality!
The specifics of this question is Optics not quantum physics, which light is not a participate of, its classical physics!

Answer 4

No "please"? Pft, you'll learn. In any case, it's (b). The short explanation is that the light interferes constructively or destructively over various path lengths, which correlate with the angle from the direct line from the source of light. The long explanation would've required a polite request. :P