Units and Measu...

A quantity $$Q = \frac { E L ^ { 2 }  } { m ^ { 5 }{G}^{2} }$$  where $$E, I, G$$ and $$m$$ are energy, angular momentum, gravitational constant and mass respectively. What are the dimensional of Q ?

If force $$F ,$$ acceleration $$A$$ and time T are are chosen asfundamental quantities, the dimensiogs of energy in the system are 

The term $$( 1 / 2 )$$ pv $$^ { 2 }$$ occurs in Bernaullis equations, with p being the density of a fluid and v its speed The dimensions of this term are

The dimensional formula for Stefan's constant is

A force acts for $$0.5$$ s on a body of mass $$1.5$$ kg initially at rest. When the force ceases to act, the body is found to cover a distance of $$5$$ m in $$2$$ s. The magnitude of the applied force is

The dimensional formula of $$\left( \dfrac { slug }{ barn }  \right) $$ is

The dimensions of (force constant $$$$ \ mass)$$^ { 1 / 2 }$$ are the same as that

Dimensional formula for electromotive force is same as that for

The dimensions of $$\dfrac { mass }{ Force\quad constant\quad of\quad SHM } $$ are same as that of :

If the speed of light (c) , acceleration due to gravity (g) and pressure (p) are taken as the fundamental quantities , then the dimensions of length will be