Two containers having boiling water and ice are connected through a conducting metal rod. The whole ice melts in time T. now the rod is cut into two equal parts and both parts are connected in parallel between the containers the time required to melt the same amount of ice will be

Options

A. `T`
B. `(T)/(2)`
C. `(T)/(4)`
D. `2T`

Explanation

To solve the problem, we need to analyze the heat transfer through the metal rod in two scenarios: first with the original rod and then with the rod cut into two equal parts and connected in parallel.

### Step-by-Step Solution:

1. **Understanding Heat Transfer**:
The rate of heat transfer \( \frac{dQ}{dt} \) through a conducting rod is given by the formula:
\[
\frac{dQ}{dt} = \frac{kA \Delta T}{L}
...