Physics · GRAVITATION

The work done in lifting a particle of mass \( m \) from a distance \( r_1 \) to \( r_2 \) (\( r_2 > r_1 \)) from the centre of the Earth of mass \( M_E \) along a vertical path is:

1. A
   \( -G M_E m ( \frac{1}{r_2} - \frac{1}{r_1} ) \)
2. B
   \( G M_E m ( \frac{1}{r_2} - \frac{1}{r_1} ) \)
3. C
   \( -G M_E m ( \frac{1}{r_2^2} - \frac{1}{r_1^2} ) \)
4. D
   \( G M_E m ( \frac{1}{r_1^2} - \frac{1}{r_2^2} ) \)