General Science • PhysicsMedium
What is the dimensional formula of universal gravitational constant (G)?
A. [M^-1 L^3 T^-2]✓ Correct Answer
B. [M L^2 T^-2]
C. [M^-1 L^2 T^-2]
D. [M L^3 T^-2]
💡 Solution & Explanation
From Newton's law of universal gravitation, the gravitational force is given by the equation F equals G times m1 times m2 divided by r squared. Rearranging this formula to solve for the universal gravitational constant G yields dimensions of force multiplied by distance squared divided by mass squared, resulting in the dimensional formula M to the power minus one, L cubed, T to the power minus two. Other dimensional combinations represent different physical quantities such as energy or momentum. This fundamental constant is denoted by G and remains invariant throughout the universe.
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