Answer:

Solution : When the distance is reduced to `1/4th` <br> `F. =G (Mm)/((1/4 d)^(2))=16G (Mm)/(d^(2))=16F` <br> The force between the two objects becomes 16 times.

Verified answer

Explanation:

According to the Universal law of gravitation,

F

=

G

m

1

m

2

r

2

Inititally,

F

=

G

m

1

m

2

r

2

Finally,

F

′

=

G

m

1

m

2

(

r

4

)

2

=

G

m

1

m

2

r

2

×

16

⇒

F

′

=

16

F

Thus the gravitational force between two objects increases by 16 times.