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# Which of the sketched graphs below illustrates the correct variation of…

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**Which of the sketched graphs below illustrates the correct variation of the gravitational force, Fg between two objects****,**** and the distance**** ****d between the ****centers****?**

**A.**** A**

**B.**** B**

**C.**** C**

**D.**** D**

**QUICK ANSWER…**

**B**

**DETAILS…**

**The sketched graph in option B ****illustrates the correct variation of the gravitational force F****g**** between two objects and the distance, d, between the ****centers.**

**Recall that the correct formula for calculating Fg will be Newton’s law of universal gravitation which states thus:**

**Fg = Gm₁m₂/d²**

**If G, m₁, and m₂ are constants, then it follows that:**

**Fg = k/d²**

**This implies that**

**Fg is inversely proportional to d****²****.****Since d has a power of 2, the graph will never be a straight line but a curve.****As Fg increases, it is expected that d decreases.****When Fg is zero, d will be infinite, and when d is zero, Fg will approach infinity.**

**The graph shown in option B is the closest and most suitable to explain this relation.**

**Now for the right answer to the above question:**

**Option A is incorrect. the graph will never start at origin because both parameters are inversely related.****Option B is correct. yes, the graph is expected to be a curve because the power of d is 2.****C is not correct. this is wrong because Fg must change as d changes.****D is not the correct answer. this is very wrong because the graph is not expected to start from the origin.**

**KEY-POINTS…**

**You may please note these/this:**

**Fg is inversely proportional to d****²****.****This implies that one increases when the other decreases.****This also implies that they will never start at the origin.****This also implies that the graph will be a curve.****If one of the parameters of any formula has a power greater than one, then the graph must be a curve.**

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**/ culled from 2021 JAMB-UTME PHYSICS question 10 BATCH-B /**