Two identical spheres of radii r each are placed touching each other. The gravitational force between them is FG. It is found that F directly propotional rn, where ‘n’ is ________ .
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Mass of the object. is the correct answer according to me.
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Answer: n=4
Explanation:
force of gravitation = Gm1m2/r²
m1=m2=m (identical spheres)
m= ρ(4/3πr³) {mass=density*volume}
F=G [ρ(4/3πr³)] [ρ(4/3πr³)] /r²
F=G p² 16/9 π² (r³)²/r²
F=16/9g (pπ)² (r²)²
F is directly proportional to (r²)² which is r raised to 4
Hence n=4
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