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}}] $