Identify the pair whose dimensions are equal  

1. Torque and work

2. Stress and energy

3. Force and stress

4. Force and work

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. $\left[M^0{L}^0{T}^0\right]$

The dimensions of pressure are equal to:

1. Force per unit volume

2. Energy per unit volume

3. Force

4. Energy

Which of the two have the same dimensions?

1. Force and strain

2. Force and stress

3. Angular velocity and frequency

4. Energy and strain

Dimensions of charge are:

1. $M^0{L}^0{T}^{-1}{A}^{-1}$

2. MLTA^–1

3. T^–1A

4. TA

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. $M{T}^{-2}{A}^{-1}$

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

1. Torque

2. Angular momentum

3. Latent heat

4. Coefficient of thermal conductivity

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. $c^{-1/2}{G}^{1/2}{h}^{1/2}$

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. $\left[M^0{L}^0{T}^2{I}^0\right]$