Question

5.
Two metal spheres each of radius 'r' are kept in contact with each other. If 'd' is the density of the
sphere, the gravitational force between the spheres is proportional to
a)d2r2
b) da r4
c) d2/r4
d) r4/d2​

Answer 1

Answer:

the mass of each sphere is given by:

M=volume×density=

3

4

πr

2

×d

now distance between the centers of the two spheres =2r so gravitational force between them (F)=

(2r)

2

GMM

⇒F=

9×4

16Gπ

2

r

2

d

2

r

6

So F is directly proportional to d

2

r

4

Explanation:

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