In: Physics
Suppose that we keep the wavelength of blue light you have chosen (548nm), but we double the distance between the sources. What should happen to the angles at which each of the bright fringes occur?
Solution:
Given the wavelength of the blue light,
Let us assume the distance between the sources is
We know that the angluar width of the bright fringes can be obtained with the following formula
where
It is clear from the above formula that, the angular width is inversaly proportional to the distance between the light sources.
It is given in the problem that the distance is doubled, then the new angular width will becomes
From (1) and (2), we can have
This means, the angular width will be halved.
Therefore, by doubling the separtion between the sources, the angles at which the bright fringes form will be halved.