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Two lead spheres of same radius are in contact with each other. The gravitational force of attraction between them is F. If two lead spheres of double the previous radius are in contact with each other, the gravitational force of attraction between them will be

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32F

16F

answer is D.

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Detailed Solution

For solid spheres in contact ${FαR}^{4}$

here separation between the sphere is 2R and mass is proportional to R³ so

$F \propto \frac{R^{3} \times R^{3}}{(2 R^{2})} \propto R^{4}$

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