There are three different liquids ( liquid 1 , liquid 2 and liquid 3) having density `13.6` gm/cc ., `1.3` gm/cc and `0.8` gm/cc . Liquid 1 is poured separately into the two arms till upper surface of liquid 2 & 3 are same . What is the height of liquid 3 if height of liquid 2 is 16 cm ?

Explanation

To solve the problem, we need to find the height of liquid 3 (let's denote it as \( h_3 \)) when the height of liquid 2 (\( h_2 \)) is given as 16 cm. We will use the concept of hydrostatic pressure balance.

### Step-by-Step Solution:

1. **Identify the densities of the liquids:**
- Density of liquid 1 (\( \rho_1 \)) = 13.6 gm/cc
- Density of liquid 2 (\( \rho_2 \)) = 1.3 gm/cc
- Density of liquid 3 (\( \rho_3 \)) = 0.8 gm/cc
...