Question

the magnitude of gravitational force of attraction between two point objects is f if the mass of each object and the distances between them are tripled then the magnitude of new gravitational force between them is

Answer 1

new gravitational force will be F

Answer 2

Let there be 2 forces F1 and F2

We know,F=GM1M2÷re^2.this is F1

Now we are given both masses are tripled and distance btw them is also tripled.

So,F2=G×3×M1×3×M2/(3re)^2

F2=9GM1M2/9re^2

9 and 9 cancel

Therefore,F2=GM1M2/re^2.

From this we conclude,

F1=F2.therefore force remains same.

This problem is the 1st question of Aakash anthe exam set-s.

The answer is F.option 2