The dimensions of physical quantity X in the equation Force $=\frac{X}{\text{Density}}$ is given by 

1. $M^1{L}^4{T}^{-2}$

2. $M^2{L}^{-2}{T}^{-1}$

3. $M^2{L}^{-2}{T}^{-2}$

4. $M^1{L}^{-2}{T}^{-1}$

The dimensions of CV² matches with the dimensions of 

1. L²I

2. L²I ²

3. LI²

4. $\frac{1}{LI}$

The Martians use force (F), acceleration (A) and time (T) as their fundamental physical quantities. The dimensions of length on Martians system are 

1. [FT²]

2. [${\mathrm{F}}^{-1}{\mathrm{T}}^2$]

3. [${\mathrm{F}}^{-1}{\mathrm{A}}^2{\mathrm{T}}^{-1}$]

4. [AT²]

The dimension of $\frac{1}{\sqrt{{\epsilon }_0{\mu }_0}}$ is that of 

1. Velocity

2. Time

3. Capacitance

4. Distance

An athletic coach told his team that muscle times speed equals power. What dimensions does he view for muscle?

1. $ML{T}^{-2}$

2. $M{L}^2{T}^{-2}$

3. MLT²

4. L

The dimensional formula of wave number is

1. $M^0{L}^0{T}^{-1}$

2. $M^0{L}^{-1}{T}^0$

3. $M^{-1}{L}^{-1}{T}^0$

4. $M^0{L}^0{T}^0$

The dimensions of stress are equal to 

1. Force

2. Pressure

3. Work

4. $\frac{1}{\text{Pressure}}$

Dimensional formula of magnetic flux is 

1. $M{L}^2{T}^{-2}{A}^{-1}$

2. $M{L}^0{T}^{-2}{A}^{-2}$

3. $M^0{L}^{-2}{T}^{-2}{A}^{-3}$

4. $M{L}^2{T}^{-2}{A}^3$

If P represents radiation pressure, c represents speed of light and Q represents radiation energy striking a unit area per second, then non-zero integers x, y and z such that $P^x{Q}^y{c}^z$ is dimensionless, are 

1. $x=1,y=1,z=-1$

2. $x=1,y=-1,z=1$

3. $x=-1,y=1,z=1$

4. $x=1,y=1,z=1$

Inductance L can be dimensionally represented as 

1. $M{L}^2{T}^{-2}{A}^{-2}$

2. $M{L}^2{T}^{-4}{A}^{-3}$

3. $M{L}^{-2}{T}^{-2}{A}^{-2}$

4 $M{L}^2{T}^4{A}^3$