If the velocity of light \{c\} , gravitational constant \la…

Physics Units, Dimensions and Measurement Dimensions Single Correct MCQ

Published on: September 12, 2026

If the velocity of light \{c\} , gravitational constant \langle G \rangle and Planck's constant \langle j \rangle are chosen as fundamental units, then the dimensions of mass in new system is

c^{''} < G^{''} : R^{''}2

c^{1/2}G^{1/2}h^{-1/2}

\(c^{1' \cdot 2} G^{\cdot \cdot 2} h^{1' \cdot 2}\)

\(c^{12} G^{\frac{1}{2}} h^{\frac{1}{2}}\)

Text Solution

Verified by Experts

The correct answer is:

Let m, C'G'H'

By substituting the following dimensions :

[C] = L T^{-1}; [G] = [M] L^{1} T^{-2} and \(\left[h\right] = \left[ML^{2}T^{-1}\right]\)

Now comparing both sides we will get

\(x, \frac{1}{2}, y, -\frac{1}{2}, z, +\frac{1}{2}\)

So m r c^{1/2} G^{-1/2} h^{1/2}

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