The double slit experiment is a classic experiment in physics that demonstrates the wave-like nature of light. It involves passing a beam of light through two narrow parallel slits and observing the resulting interference pattern on a screen. This interference pattern can only be explained using the wave theory of light.
In the context of the double slit question, m=2 represents the order of the interference pattern. It is a measure of how many times the light waves have diffracted and interfered with each other before reaching the screen. In this case, m=2 indicates that the light waves have diffracted twice, resulting in a second-order interference pattern.
The angular separation is calculated using the formula θ = λ/d, where θ is the angular separation, λ is the wavelength of the light, and d is the distance between the two slits. In this case, the values given are θ = ?, λ = 412 nm, and d = 349 l/mm. Plugging these values into the formula, we get θ = 412 nm / (349 l/mm) = 1.18 x 10^-3 radians.
The wavelength of the light is important because it determines the spacing of the interference pattern on the screen. The interference pattern is created by the constructive and destructive interference of the light waves. If the wavelength is larger, the pattern will be more widely spaced, and if it is smaller, the pattern will be more closely spaced.
If the number of slits is increased, the interference pattern will become more complex. Instead of just two slits, there will be multiple slits, resulting in more diffraction and interference. This will cause the interference pattern to become more intricate and have more orders, making it more difficult to calculate the angular separation for a specific order.