Physics · UNITS AND MEASUREMENT
हिन्दीThe dimensional formula of Universal Gravitational Constant (\( G \)) is:
Correct answer · Option 1
\( [\text{M}^{-1} \text{L}^3 \text{T}^{-2}] \)
Explanation
From Newton's law \( F = \frac{G m_1 m_2}{r^2} \implies [G] = \frac{[F][r^2]}{[m_1][m_2]} = \frac{[\text{M L T}^{-2}][\text{L}^2]}{[\text{M}^2]} = [\text{M}^{-1} \text{L}^3 \text{T}^{-2}] \).