The fundamental constants are given to be permittivity constant ( $\epsilon_0$ ), Planck's constant $(h)$, velocity of light (c), Newton's constant $(G)$ and Boltzmann's constant $\left(k_B\right)$. Which of the following quantities constructed out of the above constants has the dimensions of an electric charge?

• A

  $\sqrt{\frac{h G}{\epsilon_0^3}}$
• B

  $\sqrt{h c}$
• Correct answer
  C

  $\sqrt{\epsilon_0 h c}$
• D

  $k_B \sqrt{h c}$

Hence, the correct answer is option: 'C'.