Identify the pair which has different dimensions

(1) Planck's constant and angular momentum

(2) Impulse and linear momentum

(3) Angular momentum and frequency

(4) Pressure and Young's modulus

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The dimensional formula ${M}^{0}{L}^{2}{T}^{-2}$ stands for

(1) Torque

(2) Angular momentum

(3) Latent heat

(4) Coefficient of thermal conductivity

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Which of the following represents the dimensions of Farad

(1) ${M}^{-1}{L}^{-2}{T}^{4}{A}^{2}$

(2) $M{L}^{2}{T}^{2}{A}^{-2}$

(3) $M{L}^{2}{T}^{2}{A}^{-1}$

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

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

If L, C and R denote the inductance, capacitance and resistance respectively, the dimensional formula for C2LR is

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

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

(3) $\left[{M}^{-1}{L}^{-2}{T}^{6}{I}^{2}\right]$

(4) $\left[{M}^{0}{L}^{0}{T}^{2}{I}^{0}\right]$

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

If the velocity of light (c), gravitational constant (G) and Planck's constant (h) are chosen as fundamental units, then the dimensions of mass in new system is

(1) ${c}^{1/2}{G}^{1/2}{h}^{1/2}$

(2) ${c}^{1/2}{G}^{1/2}{h}^{-1/2}$

(3) ${c}^{1/2}{G}^{-1/2}{h}^{1/2}$

(4) ${c}^{-1/2}{G}^{1/2}{h}^{1/2}$

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Dimensions of charge are

(1) ${M}^{0}{L}^{0}{T}^{-1}{A}^{-1}$

(2) MLTA–1

(3) T–1A

(4) TA

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

According to Newton, the viscous force acting between liquid layers of area A and velocity gradient $\Delta v/\Delta z$ is given by $F=-\eta A\frac{\Delta v}{\Delta z}$ where $\eta$ is constant called coefficient of viscosity. The dimension of $\eta$ are

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

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

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

(4) $\left[{M}^{0}{L}^{0}{T}^{0}\right]$

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Identify the pair whose dimensions are equal

(1) Torque and work

(2) Stress and energy

(3) Force and stress

(4) Force and work

Concept Questions :-

Dimensions

Difficulty Level:

The dimensions of pressure is equal to

(1) Force per unit volume

(2) Energy per unit volume

(3) Force

(4) Energy

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Which of the two have same dimensions

(1) Force and strain

(2) Force and stress

(3) Angular velocity and frequency

(4) Energy and strain

Concept Questions :-

Dimensions