Q27 (2024)
The amount of work done to raise a mass 'm' from the surface of the Earth to a height equal to the radius of the Earth 'R' will be
- 2mgR
- mgR
- mg $\frac{R}{4}$
- mg $\frac{R}{2}$
### Related Formula
$$W = U_2 - U_1 = -\frac{GMm}{R+h} - \left(-\frac{GMm}{R}\right)$$
### Core Logic
For $h = R$:
$$W = -\frac{GMm}{2R} + \frac{GMm}{R} = \frac{GMm}{2R} = \frac{mgR}{2}$$
### Pattern Recognition
Work done against gravity for height comparable to Earth radius.
### Evaluation Rubric / Model Answer
null
### Chapter Mix
Class 11 Physics: Gravitation
