Published by:
CGP EDU Academic Team
Published on: September 12, 2026
If velocity of c, Plank’s constant h and gravitational constant G are taken as fundamental quantities then the dimensions of length will be
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
Let 
Where k is a dimensionless constant and x, y and z are the exponents.
Equating dimension on both sides, we get 
Applying the principle of homogeneity of dimensions,
We get
y – z = 0 ….. (i)
x + 2y + 3y = 1 ….. (ii)
-x – y – 2z = 0 …… (iii)
On solving Eqs. (i), (ii) and (iii), we get
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