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Physics · GRAVITATION

हिन्दी

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:

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:

  1. A-(I), B-(II), C-(IV), D-(III)
  2. A-(II), B-(I), C-(IV), D-(III)
  3. A-(II), B-(I), C-(III), D-(IV)
  4. A-(I), B-(II), C-(III), D-(IV)

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].
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