The dimensions of shear modulus are

1. MLT^–1

2. $M{L}^2{T}^{-2}$

3. $M{L}^{-1}{T}^{-2}$

4. $ML{T}^{-2}$

In a system of units if force (F), acceleration (A) and time (T) are taken as fundamental units then the dimensional formula of energy is 

1. FA²T

2. FAT²

3. F²AT

4. FAT

In the relation, \(y=a \cos (\omega t-k x)\), the dimensional formula for \(k\) will be:
1. \( {\left[M^0 L^{-1} T^{-1}\right]} \)
2. \({\left[M^0 L T^{-1}\right]} \)
3. \( {\left[M^0 L^{-1} T^0\right]} \)
4. \({\left[M^0 L T\right]}\)

Which of the following group have different dimensions?

1. Potential difference, EMF, voltage

2. Pressure, stress, young's modulus

3. Heat, energy, work-done

4. Dipole moment, electric flux, electric field

If force (F), length (L) and time (T) are assumed to be fundamental units, then the dimensional formula of the mass will be

1. $F{L}^{-1}{T}^2$

2. $F{L}^{-1}{T}^{-2}$

3. $F{L}^{-1}{T}^{-1}$

4. $F{L}^2{T}^2$

"Pascal-Second" has dimension of 

1. Force

2. Energy

3. Pressure

4. Coefficient of viscosity

The ratio of the dimension of Planck's constant and that of moment of inertia is the dimension of

1. Frequency

2. Velocity

3. Angular momentum

4. Time

The dimension of $\frac{R}{L}$ are

1. T²

2. T

3. T^–1

4. T^–2

Pressure gradient has the same dimensions as that of:

1. Velocity gradient

2. Potential gradient

3. Energy gradient

4. None of these