Physics · GRAVITATION
हिन्दीMatch List-I with List-II: List-I (Physical Quantity/State) List-II (Formula / Value) A \( g \) at height \( h \ll R_E \) I \( g (1 - \frac{d}{R_E}) \) B \( g \) at depth \( d \) II \( g (1 - \frac{2h}{R_E}) \) C Gravitational force inside uniform spherical shell III \( -G M_E m (\frac{1}{r_2} - \frac{1}{r_1}) \) D Work done \( W_{12} \) in moving mass \( m \) from \( r_1 \) to \( r_2 \) IV Zero Choose the correct answer from the options given below:
Match List-I with List-II:
| List-I (Physical Quantity/State) | List-II (Formula / Value) | ||
|---|---|---|---|
| A | \( g \) at height \( h \ll R_E \) | I | \( g (1 - \frac{d}{R_E}) \) |
| B | \( g \) at depth \( d \) | II | \( g (1 - \frac{2h}{R_E}) \) |
| C | Gravitational force inside uniform spherical shell | III | \( -G M_E m (\frac{1}{r_2} - \frac{1}{r_1}) \) |
| D | Work done \( W_{12} \) in moving mass \( m \) from \( r_1 \) to \( r_2 \) | IV | Zero |
Choose the correct answer from the options given below:
Correct answer · Option 2
A-(II), B-(I), C-(IV), D-(III)
Explanation
\( g(h) \approx g(1 - 2h/R_E) \) [II], \( g(d) = g(1 - d/R_E) \) [I], force inside spherical shell is zero [IV], and \( W_{12} = -G M_E m(1/r_2 - 1/r_1) \) [III].