Units and Measu...

Characteristics of Scientific observation are.

The distance covered by a particle in time $$t$$ is given by$$ x = a + bt + ct^2 + dt^3$$. The dimensions of $$a$$ and $$d$$ are - 

A glass cube of edge 1 $$ {cm}  $$ and $$  \mu=1.5  $$ has a spot at the centre .The area of the cube face that must be covered to prevent the spot from being seen is (in $  {cm}^{2} ) $

The mass of a bag is $$1.6kg$$. Two objects of mass $$20\,gm$$ and $$15\,gm$$ meausred to an accuracy of $$1gm$$ are added to it. The total mass of the bag calculated to the correct number of significant figures is 

Using mass (M), length (L), time(T) and current (A) as fundamental quantities,the dimension of permeability is

Suppose a quantity x can be dimensionally represented in terms of M, L and $$T$$ that is, $$[x]=M^aL^bT^c$$. The quantity mass.

Taking density $$(\rho)$$, velocity $$(v)$$ and area $$(a)$$ to be fundamental unit then the dimensions of force are:

A body of mass $$m_{1}$$, moving with uniform velocity of $$40\ m/s$$ collides with another mass $$m_{2}$$ at rest and then the two together begin to move in a uniform velocity of $$30\ m/s$$. The ratio of their masses $$(m_{1}/m_{2})$$ is

If area $$(A)$$, velocity $$(v)$$ and density $$(\rho)$$ are base units, then the dimensional formula of force can be represented

Which of the following pairs of physical quantities does not have same dimensional formula?