Energy E , angular momentum L and universal gravitational constant G are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planck'

Question

Energy E , angular momentum L and universal gravitational constant G are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planck's constant h is

TestHub · Accepted Answer

h = G x L y E z [M 1 L 2 T -1 ] = [M -1 L 3 T -2 ] x [M 1 L 2 T -1 ] y [M 1 L 2 T -2 ] z Comparing the power, we get 1 = - x + y + z ... (i) 2 = 3x + 2y + 2z ... (ii) -1 = - 2x - y - 2z ... (iii) On solving Eq. (i), (ii) and (iii), we get x = 0

Physics - Unit & Dimension Question with Solution | TestHub

Options:

Doubts & Discussion