Question

If velocity of light c planck's constant h and gravitational constang g are taken fundamental quentities the dimwension of lenght wil be

Answer 1

Answer:

L = √hG / c^3/2

Explanation:

We first apply the law of homogeneity.

Second, we equate the powers of the dimensions of length to the powers of the dimensions of velocity, Planck's constant and gravitational force.

we then find the values of a, b and c

accordingly we come up with the relation. The detailed answer can be viewed in the attachment.

Hope it helps