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NDA 2025 · PYQ · Gravitation / Universal Constant · easy

The universal constant of gravitation G has the unit

  1. A.N
  2. B.m/s
  3. C.Joule
  4. D.N-m²/kg²✓ Correct

Explanation

According to Newton's law of universal gravitation, F = G(m₁m₂)/r². Rearranging for G: G = Fr²/(m₁m₂). The units are therefore (Newton × meter²)/(kilogram × kilogram) = N·m²/kg². The numerical value of G is approximately 6.674 × 10⁻¹¹ N·m²/kg². This is a fundamental physical constant that appears in gravitational calculations across the universe.
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