Question Detail
Question
The dimensions of the universal gravitational constant G in the equation F = Gm₁m₂/r² are
Correct Answer
Option A is the correct answer.
Detailed Explanation
Rearranging the equation, G = F r² / (m₁m₂). [F] = MLT⁻², [r²] = L², [m] = M. So, [G] = (MLT⁻² × L²) / M² = M⁻¹L³T⁻².
Hint
Solve the formula for G, then substitute the dimensions of force, distance, and mass.