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# Which of the following statements about the universal gravitational…

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**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:**

**Option A is incorrect. it is not a fundamental quantity but a derived quantity.****Option B is correct. its dimension is derived as M⁻¹L³T⁻².****C is incorrect. the S.I. unit will be Nm²kg⁻² and not Nm²kg.****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 Nm****²****kg****⁻²****or kg****⁻¹****m****³****s****⁻²****.****Gravitational constant is a scalar quantity.**

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