SATHEE: Physics And Measurement Question 249

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

C)

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

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $F = \frac{G M m}{R^{2}}$
$∴ [L] = \frac{F R^{2}}{M m} \Rightarrow G = [M^{- 1} L^{3} T^{- 2}]$

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