Question

The gravitational force between two objects is F. If masses of both objects are halved without changing distance between them, then the gravitational force would become

विकल्प

• `"F"/4`

• `"F"/2`

• F

• 2F

Answer 1

`"F"/4`

Explanation:

 Let the masses of two objects be ml

and m2 placed at d distance apart.

so, F = `"G"("m"_1"m"_2)/"d"^2`

When the masses of two objects are halved,

`"F'" ="G"("m"_1/2. "m"_2/2)/"d"^2`

= `"G"("m"_1/2. "m"_2/2)/(4"d"^2)`

= `"F"/4`