Gravitation Question 76
Question: Assertion: The universal gravitational constant is same as acceleration due to gravity. Reason: Gravitational constant and acceleration due to gravity have same dimensional formula.
Options:
A) If both assertion and reason are true and the reason is the correct explanation of the assertion.
B) If both assertion and reason are true but reason is not the correct explanation of the assertion.
C) If assertion is true but reason is false.
D) If the assertion and reason both are false.
E) If assertion is false but reason is true.
Show Answer
Answer:
Correct Answer: D
Solution:
The universal gravitational constant G is totally different from g. $ [G=\frac{FR^{2}}{Mm}] $ The constant G is scalar and posses the dimensions $ [[{{M}^{-1}}L^{3}{{T}^{-2}}],] $ . $ [g=\frac{GM}{R^{2}}] $ g is a vector and has got the dimensions $ [[M^{0}L{{T}^{-2}}]] $ . It is not a universal constant.
