Units and Measu...

The dimensions of $$\frac{1}{{{\mu _0}{ \in _0}}}$$ is (where symbols have their usual menaing)

The dimensional formula of $$ \frac{GM_{e}}{gRe^{2}}$$ is ---------

The resultant of two equal forces acting at right angles to each other is $$1414$$ dyne. Find the magnitude of either force.

If $$m,e,{\varepsilon _0},$$ and $$c$$ denote mass electron, charge of electron Plank's constant and speed of light, respectively. The dimensions of $$\frac{{m{e^4}}}{{\varepsilon _0^2{h^3}c}}$$ are 

Which of the following pair does not have identical dimension ?

The dimensions of $$\cfrac{1}{2}{\in }_{0}{E}^{2}$$, where $${\in }_{0}$$ is permittivity of free space and $$E$$ is electric field, is:

Out of the following the more precise value is .....

The sum of the numbers $$436.32$$, $$227.244$$ and $$0.301$$ in appropriate significant figures is:

Which of the following pairs of physical quantities have same dimension$$?$$

An equation is given by $$\dfrac{d}{dt}[\int\vec{v}.\vec{dS}]$$-$$k[\vec{v}.\vec{\theta}]$$. If $$\vec{v}$$ represents velocity, $$\vec{ds}$$ is small dosplacement, $$t$$ is time and a is acceleratation. The dimension of $$k$$ is