How many dark fringes will be produced on an infinitely large screen if blue light is incident on two slits?
What is the setup of the scenario?
The scenario involves blue light with a wavelength of 480 nm being incident on two slits that are 15.0 μm apart. The question is about the number of dark fringes that will be produced on an infinitely large screen.
What is the formula to calculate the number of dark fringes?
The formula to calculate the number of dark fringes is n = (mλL)/d, where n is the number of fringes, m is the order of the fringe (usually 1), 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.
What is the final answer to the question?
An infinite number of dark fringes will be produced on the infinitely large screen.
Explanation:
The number of dark fringes produced on an infinitely large screen when blue light is incident on two slits can be determined using the formula: n = (mλL)/d
Given that the wavelength of blue light is 480 nm and the distance between the slits is 15.0 μm, the number of dark fringes can be calculated.
Understanding the Calculation:
In this scenario, the wavelength of blue light is 480 nm (or 480 x 10^-9 m) and the distance between the slits is 15.0 μm (or 15.0 x 10^-6 m).
By substituting these values into the formula n = (mλL)/d, and assuming the distance to the screen (L) is infinite, we find that there will be an infinite number of dark fringes produced on the screen.
This means that the interference pattern created by the blue light passing through the two slits will continue indefinitely, resulting in an endless series of dark fringes on the infinitely large screen.
This phenomenon showcases the wave nature of light and the interference patterns that can be observed in such setups.