Light used in a Young's double-slit experiment consists of two wavelengths 450 nm and 720 nm. In the interference pattern, eighth maximum of the first coincides with the mth maximum of the second. What is m?

Explanation

To solve the problem, we need to find the value of \( m \) such that the 8th maximum of the first wavelength (450 nm) coincides with the \( m \)th maximum of the second wavelength (720 nm) in a Young's double-slit experiment.

### Step-by-Step Solution:

1. **Understanding the Condition for Maxima**:
In a Young's double-slit experiment, the condition for the nth maximum is given by:
\[
x_n = n \lambda \frac{D}{d}
...