If $G$ is the universal gravitational constant and $g$ is the acceleration due to gravity,then the dimensions of $\frac{G}{g}$ will be ...................

  • A
    $[M^{-1} L^2]$
  • B
    $[M^{-1} L]$
  • C
    $[M^{-2} L]$
  • D
    $[M^{-1} L^{-2}]$

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If $e$ is the electronic charge,$c$ is the speed of light in free space,and $h$ is Planck's constant,the quantity $\frac{1}{4 \pi \varepsilon_{0}} \frac{| e |^{2}}{h c}$ has dimensions of .......

Match List-$I$ with List-$II$:
List-$I$List-$II$
$(a)$ $h$ (Planck's constant)$(i)$ $[M L T^{-1}]$
$(b)$ $E$ (kinetic energy)$(ii)$ $[M L^2 T^{-1}]$
$(c)$ $V$ (electric potential)$(iii)$ $[M L^2 T^{-2}]$
$(d)$ $P$ (linear momentum)$(iv)$ $[M L^2 I^{-1} T^{-3}]$

Choose the correct answer from the options given below:

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