In diffraction due to a single slit, the phase difference betweenlight waves reaching a point on the screen is 5π.Explain whether abright or a dark fringe will be formed at the point.

In diffraction due to a single slit, the phase difference between light waves reaching a point on the screen is a crucial factor in determining whether a bright or a dark fringe will be formed at the point.

1. The phase difference between light waves is related to the path difference by the equation: phase difference = (2π/λ) * path difference, where λ is the wavelength of the light.

2. In this case, the phase difference is given as 5π.

3. A bright fringe is formed when the phase difference is a multiple of 2π, because this corresponds to constructive interference - the peaks of the light waves align, resulting in a higher intensity of light.

4. A dark fringe is formed when the phase difference is an odd multiple of π (but not a multiple of 2π), because this corresponds to destructive interference - the peaks of one wave align with the troughs of another, resulting in cancellation and a lower intensity of light.

5. Since 5π is an odd multiple of π but not a multiple of 2π, a dark fringe will be formed at the point.