QJEEM20Ph66d9: JEE Main 2020 Physics - Class 11 JEEM20Ph66d9 Solution: The quantities x = 1 μ 0 ε 0 , y = E B and z = l C R are…

Question

Verified Solution • 2025–26 Session moderate

The quantities x =

\frac{1}{\sqrt{μ_{0} ε_{0}}}

, y =

\frac{E}{B}

and z =

\frac{l}{C R}

are
defined where C-capacitance, R-Resistance, l-length, E-Electric field, B-magnetic field and

ε_{0}

,

μ_{0}

, - free space permittivity and permeability respectively. Then :

Accepted Answer

x =

\frac{1}{\sqrt{μ_{0} ε_{0}}}

= speed

∴

[x] = [L¹T^–1]

y =

\frac{E}{B}

= speed

∴

[y] = [L¹T^–1]

z =

\frac{l}{C R}

=

\frac{l}{τ}

\Rightarrow

[z] = [L¹T^–1]

So, x, y, z all have the same dimensions.

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