List of top Physics Questions on Dimensional Analysis asked in JEE Main

The dimensions of angular impulse is equal to :

If $R , X _{ L }$, and $X _{ C }$ represent resistance, inductive reactance and capacitive reactance Then which of the following is dimensionless :

If the velocity of light $c$, universal gravitational constant $G$ and Planck's constant $h$ are chosen as fundamental quantities The dimensions of mass in the new system is :

Identify the pair of physical quantities which have different dimensions.

Given below are two statements: One is labelled as Assertion (A) and other is labelled as Reason (R).
Assertion (A) : Time period of oscillation of a liquid drop depends on surf ace tension (S), if density of the liquid is ρ and radius of the drop is r, then \(T=K\sqrt {\frac {ρr^3}{S^{\frac 32}}}\) is dimensionally correct, where K is dimensionless.
Reason (R) : Using dimensional analysis we get R.H.S. having different dimension than that of time period.
In the light of above statements, choose the correct answer from the options given below.

The dimension of stopping potential $V_0$ in photoelectric effect in units of Planck's constant 'h', speed of light 'c' and Gravitational constant 'G' and ampere A is :

If surface tension (S), Moment of inertia (I) and Planck's constant (h), were to be taken as the fundamental units, the dimensional formula for linear momentum would be : -

The characteristic distance at which quantum gravitational effects are significant, the Planck length, can be determined from a suitable combination of the fundamental physical constants $G, h$ and $c$. Which of the following correctly gives the Planck length ?

The dimensions of angular momentum, latent heat and capacitance are, respectively.

The dimension of latent heat is:

A physical quantity P depends on electric field (E) and permittivity of free space ( ε₀ ) as  P ∝ E ε₀², Find dimension of P

Find dimension of \(\sqrt{G}\).𝞵, where G is universal gravitational constant and 𝞵 is energy gradient