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

Out of the following which pair of quantities do not have the same dimensions?

1. Planck's constant and angular momentum

2. Work and energy

3. Pressure and Young's modulus

4. Torque & moment of inertia

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

Which of the following pair does not have similar dimensions  

1. Stress and pressure

2. Angle and strain

3. Tension and surface tension

4. Planck's constant and angular momentum

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. $\left[M^0{L}^0{T}^2{I}^0\right]$

A physical quantity x depends on quantities y and z as follows: x = Ay + BtanCz, where A, B and C are constants. Which of the following do not have the same dimensions? 

1. x and B

2. C and z^–1

3. y and B/A

4. x and A