Calculate the difference in temperature between the water at the top and bottom of a water fall 200 m high. Specific heat capacity of water `42000 J kg ^(-1) K ^(-1).`

Explanation

To calculate the difference in temperature between the water at the top and bottom of a waterfall that is 200 m high, we can use the concept of energy conservation, specifically the conversion of potential energy to thermal energy.

### Step-by-Step Solution:

1. **Identify the potential energy at height (h)**:
The potential energy (PE) of the water at height \( h \) is given by the formula:
\[
PE = mgh
...