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JEE Main 2022 (28 Jun, Shift 2) · Newton's Law of Gravitation

Newton's Law of Gravitation question from JEE Main 2022 (28 Jun, Shift 2)

Q11JEE Main 2022 · 28 JUN · SHIFT 2Easy

Newton's Law of Gravitation

Two objects of equal masses placed at certain distance from each other attracts each other with a force of F. If one-third mass of one object is transferred to the other object, then the new force will be:

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Answer: (c)

Initially $F = \frac{Gm \cdot m}{r^2}$ .
After transfer the masses are $\frac{2m}{3}$ and $\frac{4m}{3}$ , product $\frac{8m^2}{9}$ .
$F' = \frac{G(8m^2/9)}{r^2} = \frac{8}{9}F$
So the answer is (c) $\frac{8}{9}F$ .

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