There is a dust particle in a glass slab of thickness t and refractive index `mu =1.5`. When seen from one side of the slab, the dust particle appears at a distance 6 cm. From opposite side it appears at 4 cm. Find the thickness t of the glass slab.

Explanation

To find the thickness \( t \) of the glass slab, we will use the concept of apparent depth and real depth in optics. Given the refractive index \( \mu = 1.5 \), we can set up the equations based on the information provided.

### Step-by-step Solution:

1. **Define Variables**:
- Let \( X \) be the real depth of the dust particle from the first surface of the glass slab.
- The thickness of the glass slab is \( t \).
- Therefore, the real depth from the second surface is \( t - X \).
...