The force of attraction between two mass particles of masses m1 and m2 is given by F=G ×m1m2\r^2
Where r is the distance between them. The dimensions of G are
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Answer:
The dimension of universal gravitational constant, G = [M⁻¹L³T⁻²]
Explanation:
We have the equation as;
F = G m₁m₂ / r²
⇒ G = Fr² / m₁m₂
Where 'G' is the universal gravitational constant, 'F' is the force of attraction between the bodies of masses 'm₁' and 'm₂' separated by a distance 'r'.
The dimension of Force, F = [MLT⁻²]
The dimension of mass, m₁ = m₂ = [M]
The dimension of distance, r² = [L²]
∴ The dimension of universal gravitational constant,
G = [MLT⁻²] × [L²] / [M] × [M]
= [ML³T⁻²] / [M²]
= [M⁻¹L³T⁻²]
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