Let $\left[{\epsilon }_{0}\right]$ denotes the dimensional formula of the permittivity of the vacuum and $\left[{\mu }_{0}\right]$ that of the permeability of the vacuum. If M = mass, L = length, T = Time and I = electric current, then

(1) $\left[{\epsilon }_{0}\right]={M}^{-1}{L}^{-3}{T}^{2}I$

(2) $\left[{\epsilon }_{0}\right]={M}^{-1}{L}^{-3}{T}^{4}{I}^{2}$

(3) $\left[{\mu }_{0}\right]=ML{T}^{-2}{I}^{-3}$

(4) $\left[{\mu }_{0}\right]=M{L}^{2}{T}^{-1}I$

Concept Questions :-

Dimensions

Difficulty Level:

Dimensions of CR are those of

(1) Frequency

(2) Energy

(3) Time period

(4) Current

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The physical quantity that has no dimensions

(1) Angular Velocity

(2) Linear momentum

(3) Angular momentum

(4) Strain

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

$M{L}^{-1}{T}^{-2}$ represents

(1) Stress

(2) Young's Modulus

(3) Pressure

(4) All the above three quantities

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Dimensions of magnetic field intensity is

(1) $\left[{M}^{0}{L}^{-1}{T}^{0}{A}^{1}\right]$

(2) $\left[ML{T}^{-1}{A}^{-1}\right]$

(3) $\left[M{L}^{0}{T}^{-2}{A}^{-1}\right]$

(4) $\left[ML{T}^{-2}A\right]$

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The force F on a sphere of radius ‘a’ moving in a medium with velocity ‘v’ is given by $F=6\pi \eta av$. The dimensions of $\eta$ are

(1) $M{L}^{-1}{T}^{-1}$

(2) $M{T}^{-1}$

(3) $ML{T}^{-2}$

(4) $M{L}^{-3}$

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Which physical quantities have the same dimension

(1) Couple of force and work

(2) Force and power

(3) Latent heat and specific heat

(4) Work and power

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Two quantities A and B have different dimensions. Which mathematical operation given below is physically meaningful

(1) A/B

(2) A + B

(3) AB

(4) None

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Given that v is speed, r is the radius and g is the acceleration due to gravity. Which of the following is dimensionless

(1) ${v}^{2}/rg$

(2) ${v}^{2}r/g$

(3) ${v}^{2}g/r$

(4) ${v}^{2}rg$

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The physical quantity which has the dimensional formula ${M}^{1}{T}^{-3}$ is

(1) Surface tension

(2) Solar constant

(3) Density

(4) Compressibility

Concept Questions :-

Dimensions