JEE Main · PhysicsMedium
If the velocity of light $c$, gravitational constant $G$, and Planck constant $h$ are chosen as fundamental units, the dimension of mass in this system is
- A.$c^{1/2} G^{1/2} h^{1/2}$
- B.$c^{1/2} G^{-1/2} h^{1/2}$
- C.$c^{3/2} G^{-1/2} h^{1/2}$
- D.$c^{1/2} G^{1/2} h^{-1/2}$
Show correct answer & step-by-step solution
Correct answer: B — $c^{1/2} G^{-1/2} h^{1/2}$
Solution
. Solving for exponents: . Result is .
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