Question

the masses of two object are doubled and the distance between them is halved then the gravitational force acting between them becomes...........
Options =>
1. remains constant
2. Decrease by 63%
3. Decrease by 89%
4. Decrease by 89%

.....(I need full solution cause i have ans and i am not getting question) ​

Answer 1

Gravitational force between two objects is given as

F = GMm / d²

Now, let's say

100% = GMm/d² ......(1)

After masses are doubled and distance halved

F' = G(2M × 2m) / (d/2)²

= 4GMm / (d²/4)

= 16Gmm/d²

From equation (1)

= 16 × 100%

= 1600%

%Change in force = 1600% - 100% = 1500%

Options which you've provided might be of a different question.