The dimensions of 'universal gravitational constant' (G) are:

Model Answer & Options

Source: Extra Practice

[M⁻¹ L³ T⁻²]

[M¹ L³ T⁻²]

[M⁻¹ L² T⁻²]

[M⁻² L³ T⁻²]

Explanation

From Newton's law of gravitation, F = G m1 m2 / r². Thus, G = F r² / (m1 m2). Substituting dimensions: [G] = [MLT⁻²] [L²] / [M²] = [M⁻¹ L³ T⁻²]. The other options are incorrect as they do not balance the mass or length dimensions correctly according to the force equation.

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