Question

Water falls from 100 metre height. What will be temperature rise per kg of water due to fall?
\(g = 10 \, \text{m/s}^2\), specific heat of water = 4200 Joule/kg°C

• A. 2.238°C
• B. 1.238°C
• C. 0.0238°C
• D. 0.238°C

Hint:

The temperature rise due to work done by gravity is calculated using the equation \(mgh = mc\Delta T\).

Answer 1

The Correct Option is A

The work done by gravity is converted into heat energy, which increases the temperature. The work done is: \[ W = mgh \] The heat energy is related to the temperature rise by: \[ Q = mc\Delta T \] Equating the two: \[ mgh = mc\Delta T \] Solving for \(\Delta T\), we find that the temperature rise is 2.238°C.