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Physics · GRAVITATION

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Match List-I with List-II: List-I (Physical Quantity) List-II (Expression / Value) A Escape speed from Earth I \( \approx 85\text{ minutes} \) B Escape speed from Moon II \( \approx 11.2\text{ km s}^{-1} \) C Time period of near-Earth orbit (\( h \ll R_E \)) III \( \approx 2.3\text{ km s}^{-1} \) D Orbital speed of near-Earth satellite IV \( \sqrt{g R_E} \) Choose the correct answer from the options given below:

Match List-I with List-II:


List-I (Physical Quantity) List-II (Expression / Value)
A Escape speed from Earth I \( \approx 85\text{ minutes} \)
B Escape speed from Moon II \( \approx 11.2\text{ km s}^{-1} \)
C Time period of near-Earth orbit (\( h \ll R_E \)) III \( \approx 2.3\text{ km s}^{-1} \)
D Orbital speed of near-Earth satellite IV \( \sqrt{g R_E} \)

Choose the correct answer from the options given below:

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

Correct answer · Option 4

A-(II), B-(III), C-(I), D-(IV)

Explanation

Escape speed from Earth is \( 11.2\text{ km/s} \) (A-II). Escape speed from Moon is \( 2.3\text{ km/s} \) (B-III). Period near Earth is \( \approx 85\text{ min} \) (C-I). Orbital speed near Earth is \( \sqrt{g R_E} \) (D-IV).
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