In SI units,the dimensions of sqrt {frac{{{va | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The dimensions of permittivity of free space $\varepsilon_0$ are $[M^{-1} L^{-3} T^4 A^2]$.The dimensions of permeability of free space $\mu_0$ ar

Vedclass · Accepted Answer

$A^2 T^3 M^{-1} L^{-2}$

Vedclass · Answer

(C) The dimensions of permittivity of free space $\varepsilon_0$ are $[M^{-1} L^{-3} T^4 A^2]$.The dimensions of permeability of free space $\mu_0$ are $[M L T^{-2} A^{-2}]$.Therefore,the dimensions of $\sqrt{\frac{\varepsilon_0}{\mu_0}}$ are:$\left[ \sqrt{\frac{\varepsilon_0}{\mu_0}} \right] = \left[ \frac{M^{-1} L^{-3} T^4 A^2}{M L T^{-2} A^{-2}} \right]^{1/2}$$= \left[ M^{-1-1} L^{-3-1} T^{4-(-2)} A^{2-(-2)} \right]^{1/2}$$= \left[ M^{-2} L^{-4} T^6 A^4 \right]^{1/2}$$= [M^{-1} L^{-2} T^3 A^2]$.

In $SI$ units,the dimensions of $\sqrt {\frac{{{\varepsilon _0}}}{{{\mu _0}}}} $ are:

Similar Questions

Dimensional formula for pressure head is

The physical quantities not having the same dimensions are:

If $M =$ mass,$L =$ length,$T =$ time,and $I =$ electric current,then the dimensional formula for electrical resistance $R$ is:

Inductance $L$ can be dimensionally represented as

The dimensional formula of heat energy is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module