Units and Measu...

Write the dimensional formula of charge.

Calorie is a unit of heat or energy whose value is $$4.2J$$, where $$J=1\;kgm^2s^{-2}$$. If one uses a unit system in which units of mass, length and time are taken as $$\alpha\;kg,\;\beta\;metre$$ and $$\gamma\;second$$ respectively, then the value of calorie in this system will be

Round off following number upto four significant figures.

Write down the number of significant figures in the following value.

In the relation $$F=a\;sin\;k_1x+b\;sin\;k_2t$$, the units (SI) of $$\displaystyle\frac{k_1}{k_2}$$ is ......... .
($$F,x\,\&\,t$$ have usual meanings)

In two different systems of units an acceleration is represented by the same number, whilest a velocity is represented by numbers in the ratio $$1\,\colon\,3$$. The ratios of unit of length and time are

A force $$\displaystyle F $$ is given by $$ F = at + bt^2 $$, where $$ t $$ is time. The dimensions of $$a$$ and $$b$$ are :

From the following pairs, choose the pair that does not have identical dimensions ? 

The ratio of the dimensions of Planck's constant and that of inertia has the dimension of  ?

The dimensions of universal gravitational constant $$G$$ are :