Mechanics Test ...

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

What is the dimensional formula of Planck's constant?

What is the dimensional formula of thermal conductivity?

Match the following:

What is the dimensional formula of magnetic field?

The time period 't' of a drop of liquid of density 'd' and radius 'r', vibrating under surface tension 's', is given by the formula t = . If a = 1 and c = -1, then b is

Which of the following quantities is unitless as well as dimensionless?

In the relation , 'P' is pressure, 'z' is distance, 'k' is Boltzmann constant and 'θ' is temperature. What will be the dimensional formula of β?

If e, ε₀, h and c respectively are electronic charge, electric permittivity, Planck's constant and velocity of light in vacuum, then what are the dimensions of ?

The pair(s) of physical quantities that do(es) not have the same dimensions is/are

In an experiment, the values of two resistances were measured as R₁ = 5 ± 0.2 ohm and R₂ = 10 ± 0.1 ohm. What is their combined resistance in series?

If force (F), work (W) and velocity (v) are taken as fundamental quantities, then what is the dimensional formula of time (T)?

What are the dimensions of 'a' in the van der Waals' equation?

Directions: The following question has four choices out of which ONLY ONE is correct.

The dimensions of universal gas constant are:

Which of the following sets of quantities has the same dimensional formula?