What is the dimensional formula for the gravitational constant?
Understand the Problem
The question is asking for the dimensional formula of the gravitational constant, which is a physical constant used in the law of universal gravitation. To derive its dimensional formula, we need to consider its relationship with mass, length, and time from the equation of gravitational force.
Answer
M^-1 L^3 T^-2
The final answer is M^-1 L^3 T^-2
Answer for screen readers
The final answer is M^-1 L^3 T^-2
More Information
The dimensional formula for the gravitational constant, G, is derived using Newton's law of gravitation: F = G(m1 m2 / r^2). Units of force (F) are [MLT^-2], and mass (m) is [M], so rearranging for G gives [M^-1 L^3 T^-2].
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