A simple U tube contains mercury to the same level in both of its arms. If water is poured to a height of 13.6 cm in one arm, how much will be the rise in mercury level in the other arm ?
Given : density of mercury = `13.6 xx 10^3 "kg m"^(-3)` and density of water = `10^3 "kg m"^(-3)`.

Explanation

To solve the problem, we need to determine how much the mercury level rises in one arm of the U-tube when water is poured into the other arm. We will use the principle of hydrostatic pressure balance.

### Step-by-Step Solution:

1. **Understand the Initial Condition**:
The U-tube initially has mercury at the same level in both arms. When water is poured into one arm, it exerts pressure on the mercury.

2. **Identify the Height of Water**:
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