Question

If ${\mathrm{G}}_{\mathrm{e}}$ is the value of universal gravitational constant at the earth and ${\mathrm{G}}_{\mathrm{m}}$ is the value of universal gravitational constant on the moon then

• A. ${\mathrm{G}}_{\mathrm{e}}=6{\mathrm{G}}_{\mathrm{m}}$
• B. ${\mathrm{G}}_{\mathrm{e}}<{\mathrm{G}}_{\mathrm{m}}$
• C. ${\mathrm{G}}_{\mathrm{e}}>{\mathrm{G}}_{\mathrm{m}}$
• D. ${\mathrm{G}}_{\mathrm{e}}={\mathrm{G}}_{\mathrm{m}}$

Answer 1

The correct option is D

${\mathrm{G}}_{\mathrm{e}}={\mathrm{G}}_{\mathrm{m}}$

Gravitational constant:

1. $\text{'}\text{'}\mathrm{G}\text{'}\text{'}$ is a universal gravitational constant which is used to calculate the force of gravitation between any two objects.
2. It is a universal constant i.e. the value remains the same in the whole universe. Its value is $6.67\times {10}^{-11}{\mathrm{Nm}}^2{\mathrm{kg}}^{-2}$.
3. Therefore the value of $\text{'}\text{'}\mathrm{G}\text{'}\text{'}$ is the same on the earth and moon.

Thus, if ${\mathrm{G}}_{\mathrm{e}}$ is the value of universal gravitational constant at the earth and ${\mathrm{G}}_{\mathrm{m}}$ is the value of universal gravitational constant on the moon then ${\mathrm{G}}_{\mathrm{e}}={\mathrm{G}}_{\mathrm{m}}$.

Hence, option (D) is the correct option.