1. Tardigrade
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  3. Physics
  4. Assertion The measurement of G by Cavendish's experiment, combined with the knowledge of g and RE enables one to estimates ME. Reason By Newton's second law, the value of g is given by the relation, g=(G ME/RE2).

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Q. Assertion The measurement of $G$ by Cavendish's experiment, combined with the knowledge of $g$ and $R_{E}$ enables one to estimates $M_{E}$.
Reason By Newton's second law, the value of $g$ is given by the relation, $g=\frac{G M_{E}}{R_{E}^{2}}$.

Gravitation

Solution:

Henry-Cavendish experiment helped to determine the value of $G\left(G=6.67 \times 10^{-11} Nm ^{2} kg ^{-2}\right)$.
From the value of $g$ (acceleration due to gravity on the surface of the earth) and $R_{E}$ (radius of the earth)
using the relation $g=\frac{G M_{E}}{R_{E}^{2}}$ (by using Newton's law),
the mass of the earth $\left(M_{E}\right)$ can be estimated
$\Rightarrow M_{E}=\frac{g R_{E}^{2}}{G}$
where, $g=9.8 ms ^{-2}$,
$R_{E}=6400 \times 10^{3} m$
and $G=6.67 \times 10^{-11} Nm ^{2} / kg ^{2}$.
Therefore, Assertion and Reason are correct and Reason is the correct explanation of Assertion.