Physics And Measurement Question 249

Question: Which one of the following represents the correct dimensions of the gravitational constant?

Options:

A) $ [{{M}^{-1}}L^{3}{{T}^{-2}}] $

B) $ [ML{{T}^{-1}}] $

C)

D) $ [M{{L}^{-2}}{{T}^{-2}}] $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ F=\frac{GMm}{R^{2}} $
$ \therefore [L]=\frac{FR^{2}}{Mm}\Rightarrow G=[{{M}^{-1}}L^{3}{{T}^{-2}}] $



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