The n transparent slabs of refractive index1.5 each having thickness 1cm, 2 cm,…to n cm are arranged one over another. A point object is seen through this combineation with near perpendicular light. If the shift of object by the combination is 1 cm, then find the value of n.

Explanation

To solve the problem, we need to find the value of \( n \) given that \( n \) transparent slabs, each with a refractive index of 1.5 and thicknesses of 1 cm, 2 cm, ..., \( n \) cm, cause a shift of 1 cm when viewed through them.

### Step-by-Step Solution:

1. **Understanding the Shift Formula**:
The shift \( \Delta x \) caused by a single slab of thickness \( t \) and refractive index \( \mu \) is given by:
\[
\Delta x = \left(1 - \frac{1}{\mu}\right) t
...