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The dimensions of universal gravitational constant is:

1. [M⁻²L³T⁻¹]
2. [M⁻¹L³T⁻²]
3. [ML²T⁻²]
4. [M⁻²L³T⁻²]

Correct answer: [M⁻¹L³T⁻²]

Solution

The universal gravitational constant (G) appears in Newton's law of gravitation: F = G(m₁m₂)/r². Rearranging for G, its dimensions are derived as [M⁻¹L³T⁻²].

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