The force of gravitation between a particle $$A,$$ and another particle $$B$$ when separated by a distance $$r$$ is $$F_{AB};$$ while the force between a particle $$C$$ and $$A$$ separated by the same distance is $$4F_{AB}.$$ The ratio of the masses of $$B$$ and $$C$$ is:
1. $$4$$
2. $$2$$
3. $$\frac12$$
4. $$\frac14$$
Subtopic: Â Newton's Law of Gravitation |
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Three equal masses of $$m$$ kg each are fixed at the vertices of an equilateral triangle $$ABC.$$ What is the force acting on a mass $$2m$$ placed at the centroid $$G$$ of the triangle
(
Take $$AG=BG=CG=1$$ m.)

1. $$Gm^2(\hat{i}+\hat{j})$$
2. $$Gm^2(\hat{i}-\hat{j})$$
3. zero
4. $$2Gm^2(\hat{i}+\hat{j})$$

Subtopic: Â Newton's Law of Gravitation |
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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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