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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Units and Dimensions

Olympiad workbook · NSEP · Units and Dimensions

A quantity α is defined as α=e^2 / 4 π _0 c , where e is electric...

A quantity

\alpha

is defined as

\alpha=e^2 / 4 \pi \epsilon_0 c \hbar

, where

e

is electric charge,

\hbar=h / 2 \pi

is the reduced Planck's constant and

c

is the speed of light. The dimensions of

\alpha

are

Options

A $\left[\mathrm{M}^0 \mathrm{~L}^0 \mathrm{~T}^0$ \mathrm{I} $^0\right]$
B $\left[\mathrm{M}^1 \mathrm{~L}^{-1} \mathrm{~T}^2$ \mathrm{I} $^{-2}\right]$
C $\left[\mathrm{M}^2 \mathrm{~L}^1 \mathrm{~T}^{-1}$ \mathrm{I} $^0\right]$
D $\left[\mathrm{M}^0 \mathrm{~L}^3 \mathrm{~T}^1$ \mathrm{I} $^{-2}\right]$

Correct answer

A. $\left[\mathrm{M}^0 \mathrm{~L}^0 \mathrm{~T}^0$ \mathrm{I} $^0\right]$

Step-by-step solution

No Solution

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