Answer

Verified

21.6k+ views

**Hint:**G is known as universal gravitational constant. It has been observationally verified over two centuries in almost every real situation possible. It is invariant throughout the Universe.

**Complete step by step solution:**

Newton using his experiments devised that the force of gravitational between 2 distant objects will be directly proportional to the product of the masses of the 2 bodies.

\[F \propto mM\]

Where m and M are the masses of the 2 bodies.

He further concluded that the force will be inversely proportional to the square of the distance between them. This is also known as the inverse square law.

\[F \propto \dfrac{1}{{{r^2}}}\]

Combining these 2 relations, we get:

\[F\, \propto \,\dfrac{{mM}}{{{r^2}}}\]

To the proportionality sign a constant was introduced,

\[F\, = \,\dfrac{{GmM}}{{{r^2}}}\]

Where G is known as universal gravitational constant. Its value is given \[6.67 \times {10^ - }^{11}\;N{m^2}k{g^ - }^2\]. It has been almost 300 years since Newton and the value of G has been found constant throughout the Universe. This value will remain constant whatever may be the surrounding conditions.

**Therefore the option with the correct answer is option D.**

**Note:**G (gravitational constant) should not be confused with g( acceleration due to gravity). The relation between these 2 quantities is given as \[g{\text{ }} = \sqrt {\dfrac{{GM}}{{{r^2}}}} \]

Recently Updated Pages

If a wire of resistance R is stretched to double of class 12 physics JEE_Main

Let f be a twice differentiable such that fleft x rightfleft class 11 maths JEE_Main

Find the points of intersection of the tangents at class 11 maths JEE_Main

For the two circles x2+y216 and x2+y22y0 there isare class 11 maths JEE_Main

The path difference between two waves for constructive class 11 physics JEE_MAIN

What is the difference between solvation and hydra class 11 chemistry JEE_Main

Other Pages

when an object Is placed at a distance of 60 cm from class 12 physics JEE_Main

If the magnetizing field on a ferromagnetic material class 12 physics JEE_Main

The electronic configuration of chloride ion is A 2 class 11 chemistry JEE_Main

Equipotential at a great distance from a collection class 12 physics JEE_Main

Derive an expression for maximum speed of a car on class 11 physics JEE_Main

When the diameter of the conductor is doubled then class 12 physics JEE_Main