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Units and Measurements · NEET Preparation Physics

The dimensional formula of the universal gravitational constant G is:

Practice question from Units and Measurements (NEET Preparation Physics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-A15CAD

The dimensional formula of the universal gravitational constant GG is:

  1. A.[M−1L3T−2][M^{-1} L^3 T^{-2}]Correct answer
  2. B.[ML2T−2][M L^2 T^{-2}]
  3. C.[M−1L2T−2][M^{-1} L^2 T^{-2}]
  4. D.[ML3T−2][M L^3 T^{-2}]

Solution

From Newton's law of gravitation, F=Gm1m2r2F = \frac{G m_1 m_2}{r^2}, so G=Fr2m1m2G = \frac{F r^2}{m_1 m_2}. Substituting the dimensions: [G]=[MLT−2][L2][M2]=[M−1L3T−2][G] = \frac{[MLT^{-2}][L^2]}{[M^2]} = [M^{-1} L^3 T^{-2}].

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