1. Tardigrade
  2. Question
  3. Physics
  4. A quantity X is given by (m e4/8 ε02 c h3), where m is the mass of electron, e is the charge of electron, ε0 is the permittivity of free space, c is the velocity of light and h is the Planck's constant. The dimensional formula for X is the same as that of

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Q. A quantity $X$ is given by $\frac{m e^{4}}{8 \varepsilon_{0}^{2} c h^{3}},$ where $m$ is the mass of electron, $e$ is the charge of electron, $\varepsilon_{0}$ is the permittivity of free space, $c$ is the velocity of light and $h$ is the Planck's constant. The dimensional formula for $X$ is the same as that of

Physical World, Units and Measurements

Solution:

$X=\frac{m e^{4}}{8 \varepsilon_{0}^{2} c h^{3}}=$
Rydberg's constant and its unit is $m ^{-1}$