Question
Download Solution PDFWhat is the dimension of gravitational constant?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is M-1L3T-2
Key Points
CONCEPT:
- Newton's law of gravitation states that any two bodies having masses (m1 and m2) keeping at a distance (r) from each other exerts a Force of attraction on each other.
- This Force is directly proportional to the masses of bodies and inversely proportional to the square of the distance between them.
- The dimension of the Force is MLS-2 and the SI unit is Newton (N).
Here, G is the proportional Constant and its value is 6.674 x 10-11 m3Kg-1s-2 is a universal constant.
SOLUTION:
- We can rewrite the above equation as:
As we know, the dimension of length (meter) = L
Dimension of time (t) = T
Dimension of mass (kg) = M
Therefore, the dimension of gravitational constant (G) is
Hence, Dimension of Gravitational Constant G = M-1L3T-2.
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