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NDA 1 2025 GAT, question 131

Topic: Physics

Q131

The universal constant of gravitation G has the unit

  1. (a) N
  2. (b) m/s
  3. (c) Joule
  4. (d) N m2/kg2N\, m^{2}/kg^{2}Correct answer

Solution.

Answer: (d) N m2/kg2N\, m^{2}/kg^{2}

  1. From F=Gm1m2/r2F = Gm_{1}m_{2}/r^{2}, rearrange to G=Fr2/(m1m2)G = Fr^{2}/\left( m_{1}m_{2} \right).
  2. Its SI unit is therefore N m2/kg2N\, m^{2}/kg^{2}, equivalently m3 kg−1 s−2m^{3}\, kg^{- 1}\, s^{- 2}.