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Physics · JEE | UNITS AND MEASUREMENT

हिन्दी

The dimensional formula of the universal gravitational constant \( G \) in terms of fundamental dimensions \( [M], [L], [T] \) is given by:

  1. A
    \( [M L^2 T^{-2}] \)
  2. B
    \( [M^{-1} L^3 T^{-2}] \)
  3. C
    \( [M^{-1} L^{-3} T^2] \)
  4. D
    \( [M^1 L^3 T^{-2}] \)
View Answer & Solution

Correct answer · Option B

\( [M^{-1} L^3 T^{-2}] \)

Explanation

From Newton's law of gravitation, \( F = \frac{G m_1 m_2}{r^2} \implies G = \frac{F r^2}{m_1 m_2} \). Substituting dimensions: \( \frac{[MLT^{-2}][L^2]}{[M^2]} = [M^{-1}L^3T^{-2}] \).
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