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If the velocity of light c, universal gravitational constant G and planck's constant h are chosen as fundamental quantit…

Q1

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:

[JEE Main 2023, 1 Feb (Shift 2)]

a

\(\left[{h}^{\frac{1}{2}}{c}^{-\frac{1}{2}}{G}^{1}\right]\)

b

\(\left[{h}^{1}{c}^{1}{G}^{-1}\right]\)

c

\(\left[{h}^{-\frac{1}{2}}{c}^{\frac{1}{2}}{G}^{\frac{1}{2}}\right]\)

d

\(\left[{h}^{\frac{1}{2}}{c}^{\frac{1}{2}}{G}^{-\frac{1}{2}}\right]\)

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