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Physics · UNITS AND MEASUREMENT

हिन्दी

The dimensional formula of Universal Gravitational Constant (\( G \)) is:

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

Correct answer · Option A

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

Explanation

From Newton's law \( F = \frac{G m_1 m_2}{r^2} \implies [G] = \frac{[F][r^2]}{[m_1][m_2]} = \frac{[\text{M L T}^{-2}][\text{L}^2]}{[\text{M}^2]} = [\text{M}^{-1} \text{L}^3 \text{T}^{-2}] \).
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