JEE PYQ: Units And Dimensions Question 18
Question 18 - 2019 (12 Apr Shift 1)
Which of the following combinations has the dimension of electrical resistance ($\varepsilon_0$ is the permittivity of vacuum and $\mu_0$ is the permeability of vacuum)?
(1) $\sqrt{\frac{\mu_0}{\varepsilon_0}}$
(2) $\frac{\mu_0}{\varepsilon_0}$
(3) $\sqrt{\frac{\varepsilon_0}{\mu_0}}$
(4) $\frac{\varepsilon_0}{\mu_0}$
Show Answer
Answer: (1)
Solution
$\sqrt{\frac{\mu_0}{\varepsilon_0}}$ has dimensions of resistance. This is the impedance of free space ($\approx 377 , \Omega$).
BETA
