A beam of light consisting of two wavelengths `650 nm and 520 nm`, is used to obtain interference fringes in a Young's double slit experiment. (a) Find the distance of the third bright fringe on the screen from the central maximum for wavelength `650 nm`. (b) What is the least distance from the central maximum, where the bright fringes due to both the wavelength coincide ?
A beam of light consisting of two wavelengths `650 nm and 520 nm`, is used to obtain interference fringes in a Young's double slit experiment. (a) Find the distance of the third bright fringe on the screen from the central maximum for wavelength `650 nm`. (b) What is the least distance from the central maximum, where the bright fringes due to both the wavelength coincide ?
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To solve the problem, we will break it down into two parts as stated in the question.
### Part (a): Finding the distance of the third bright fringe for wavelength 650 nm
1. **Understand the formula for fringe distance**: In Young's double slit experiment, the distance of the nth bright fringe from the central maximum is given by the formula:
\[
y_n = \frac{n \lambda D}{d}
\]
...
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