Two spheres of masses $$m$$ and $$M$$ are situated in air and the gravitational force between them is $$F.$$ If the space around the masses is filled with a liquid of specific density $$3,$$ the gravitational force will become:
1. $$3F$$
2. $$F$$
3. $$F/3$$
4. $$F/9$$

Subtopic: Â Newton's Law of Gravitation |
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AIPMT - 2003
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Two particles of mass $$m$$ and $$4m$$ are separated by a distance $$r.$$ Their neutral point is at:
1. $$\frac{r}{2}~\text{from}~m$$
2. $$\frac{r}{3}~\text{from}~4m$$
3. $$\frac{r}{3}~\text{from}~m$$
4. $$\frac{r}{4}~\text{from}~4m$$

Subtopic: Â Newton's Law of Gravitation |
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Three identical point masses, each of mass $$1$$ kg lie at three points $$(0,0)$$, $$(0,0.2~\text{m})$$, $$(0.2~\text{m}, 0)$$. The net gravitational force on the mass at the origin is:
1. $$6.67\times 10^{-9}(\hat i +\hat j)~\text{N}$$
2. $$1.67\times 10^{-9}(\hat i +\hat j) ~\text{N}$$
3. $$1.67\times 10^{-9}(\hat i -\hat j) ~\text{N}$$
4. $$1.67\times 10^{-9}(-\hat i -\hat j) ~\text{N}$$

Subtopic: Â Newton's Law of Gravitation |
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