Question

The only mechanical quantity which has negative dimension of mass is

Answer 1

Explanation:

Gravitational constant (G) = [M−1L3T−2]

Thus, gravitational constant has negative dimension of mass.

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Answer 2

Concept:

The gravitational constant, abbreviated G, is the proportionality constant employed in Newton's Law of Universal Gravitation.

$G = 6.673 \times 10^{-11} N m^2 kg^{-2}$

It's used to figure out how much gravitational pull there is between two things. G, according to general relativity and the principle of equivalence, it is a geometric component that is independent of material attributes.

Solution:

The Gravitational constant has a negative dimension of mass.

Gravitational Constant (G) $= F \times r^2 \times [Mm]^{-1}$

$G = [M^1 L^1 T^{-2}] \times [L]^2 \times [M]^{-2} \\G = [M^{-1} L^3 T^{-2}]$

Hence, the dimensional formula of gravitational constant is $[M^{-1} L^3 T^{-2}]$.

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