Planck's constant $h$, speed of light $c$ and gravitational constant $G$ are used to form a unit of length $L$ and a unit of mass $M$. Then the correct option$(s)$ is(are)

$(A)$ $M \propto \sqrt{ c }$ $(B)$ $M \propto \sqrt{ G }$ $(C)$ $L \propto \sqrt{ h }$ $(D)$ $L \propto \sqrt{G}$

  • [IIT 2015]
  • A

    $(A,B,C)$

  • B

    $(A,B,D)$

  • C

    $(A,C,D)$

  • D

    $(B,C,D)$

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