The following is the mathematical expression for gravitational force between two bodies of masses $m_{1}$ and $m_{2}$ separated by a distance $d$ .

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G = \frac{G m_{1} m_{2}}{d^{2}}

F \propto \frac{d^{2}}{G m_{1} m_{2}}

F \propto \frac{G m_{1} m_{2}}{d^{2}}

None of these

answer is C.

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Detailed Solution

The correct expression for gravitational force between two bodies of masses

m_{1}

and

m_{2}

separated by a distance

d

F \propto \frac{G m_{1} m_{2}}{d^{2}}

.
As per newton's Law of Universal Gravitation, "every particle in the universe is drawn to each other particle with force. This force is directly proportional to the product of their masses and inversely proportional to the distance between them." Thus, the form of the general gravitational equation appears.
The mathematical expression for gravitational force between two bodies of masses