If the velocity of light c, universal gravitational constant G and Planck's constant h are chosen as fundamental quantities. The dimensions of mass in the new system is:

(C) [h^(1 / 2) c^(1 / 2) G^(-1 / 2)]

(B) [h^(-1 / 2) c^(1 / 2) G^(1 / 2)]

Units and Measurements: JEE Main 2023 Physics question

JEE Main 2023 · 1 Feb, Evening shift · Q8264

JEE Main 20231 Feb, Evening shiftPhysicsMediumUnits and Measurements122× since 2002

If the velocity of light

\mathrm{c}

, universal gravitational constant

\mathrm{G}

and Planck's constant

\mathrm{h}

are chosen as fundamental quantities. The dimensions of mass in the new system is :