Q. Consider a new system of units in which $c$(speed of light in vacuum), $h$(Planck’s constant) and $G$(gravitational constant) are taken as fundamental units. Which of the following would correctly represent mass in this new system?
A) $\sqrt{\frac{hc}{G}}$
B) $\sqrt{\frac{Gc}{h}}$
C) $\sqrt{\frac{hG}{c}}$
D) $\sqrt{hGc}$
Explanation
$\lbrack h\rbrack = \lbrack ML^{2}T^{- 1}\rbrack$ $\lbrack c\rbrack = \lbrack LT^{- 1}\rbrack$ $\lbrack G\rbrack = \lbrack M^{- 1}L^{3}T^{- 2}\rbrack$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.