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Gravitation — Science STD 9 — Question

Gujarat BoardEnglish MediumSTD 9ScienceGravitation1 Mark
Question
The gravitational force between two objects is $F.$ How will the force change when the distance between them is reduced to $\frac{1}{4}\text{th}$?
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Answer

We know, that the force of gravitation between two objects is inversely proportional to the square of distance between them. That is, $\text{F}\propto\frac{1}{\text{r}^2}$ Now when the distance between two objects is reduced to $\frac{1}{4}\text{th}$ that's is made $\frac{1}{4}$, then the force between them will become $16.$ i.e. $\bigg(\frac{1}{\frac{1}{4}}\bigg)^2$ $=16$

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