Which of the following statements about th

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Which of the following statements about the gravitational constant is true

A

It is a force

B

It has no unit

C

It has same value in all systems of units

D

It does not depend on the nature of the medium in which the bodies are kept.

Which of the following statements about the gravitational constant is true

According to. Newton's law of Gravitation:-

$\Rightarrow F_{\text {orce }}=\frac{G M_1 M_2}{r^2}$

$\because M_1$ and $M_2$ are masses.

$r=$ distance between $M_1$ and $m_2$.

$G=$ Gravitational Constant.

$\Rightarrow G =\frac{f r^2}{m_1 m_2} N - m ^2 / kg ^2$

$\Rightarrow G^{\prime}=\frac{f \times 10^5 \times r^2 \times 10^{-4}}{m_1 m_2 \times 10^{-6}} \text { dyre }- cm ^2 / g^2$

$\Rightarrow G^{\prime}=\frac{f r^2}{m_1 m_2} \times 10^7 \text { dyre }- cm ^2 / g^2 .$

As it is a constant value. it does not depend on masses.

Also, $G$ is Constant in all medium therefore, it is independent of medium.