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Which of the following statements about the universal gravitational…

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PHYSICS

Which of the following statements about the universal gravitational constant G is true?  

A. It is a fundamental quantity  

B. It has dimension M⁻¹L³T⁻²

C. Its S.I. unit is Nm²kg

D. It is a vector quantity

QUICK ANSWER…

B

DETAILS…

The universal gravitational constant G has a dimension of M⁻¹L³T⁻², it can be derived as below…

F = Gm₁m₂/r²

m₁g = Gm₁m₂/r²

m₁gr² = Gm₁m₂

G = m₁gr²/m₁m₂

G = gr²/m₂

Transforming into dimensions, we have:

g = LT⁻²

r = L

m = M

G = LT⁻²× L²/M

G =LT⁻²L²M⁻¹

G = M⁻¹L³T⁻²

Now for the right answer to the above question:

  1. Option A is incorrect. it is not a fundamental quantity but a derived quantity.
  2. Option B is correct. its dimension is derived as M⁻¹L³T⁻².
  3. C is incorrect. the S.I. unit will be Nm²kg⁻² and not Nm²kg.
  4. D is not the correct answer. it is not a vector but a scalar quantity.

KEY-POINTS…

You may please note these/this:

  • Gravitational constant G has a dimension of M⁻¹L³T⁻².
  • Gravitational constant G has a unit of Nm²kg⁻² or kg⁻¹m³s⁻².
  • Gravitational constant is a scalar quantity.

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/ culled from 2021 JAMB-UTME PHYSICS question 23 BATCH-B /

1 Answers

  1. 0 Votes Thumb up 0 Votes Thumb down 0 Votes

    Gravitational constant G has a dimension of M⁻¹L³T⁻².

    Admin - Mar 26, 2022 | Reply


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