In a double slit pattern `(lambda = 6000Å)`, the first order and tenth order maxima fall at 12.50 mm and 14.55mm from a particular reference point. If `lambda` is changed to 5500Å, find the position of zero order and tenth order fringes, other arrangements remaining the same.

Explanation

To solve the problem, we need to find the positions of the zero-order and tenth-order maxima when the wavelength of light is changed from 6000 Å to 5500 Å. We will use the information provided regarding the positions of the maxima for the original wavelength to derive the new positions.

### Step-by-Step Solution:

1. **Identify the Given Data:**
- Wavelength (λ1) = 6000 Å
- Position of first-order maximum (y1) = 12.50 mm
- Position of tenth-order maximum (y10) = 14.55 mm
...