Unit And Dimensions Set-2

Q1. If $E$ and $H$ represents the intensity of electric field and magnetising field respectively, then the unit of $E/H$ will be:

Q2. A physical quantity $\vec{S}$ is defined as $\vec{S} = (\vec{E} \times \vec{B}) / \mu_0$, where $\vec{E}$ is electric field, $\vec{B}$ is magnetic field and $\mu_0$ is the permeability of free space. The dimensions of $\vec{S}$ are the same as the dimensions of which of the following quantity (ies):

Q3. The density of a material in SI units is 128 kg m$^{-3}$. In certain units in which the unit of length is 25 cm and the unit of mass 50 g, the numerical value of density of the material is

Q4. The dimensional formula of latent heat is:

Q5. If $\epsilon_0$ is the permittivity of free space and $E$ is the electric field, then $\epsilon_0 E^2$ has the dimensions:

Q6. Given below are two statements:
Statement (I): Dimensions of specific heat is $[L T^{-2} K^{-1}]$
Statement (II): Dimensions of gas constant is $[M L T^{-1} K^{-1}]$

Q7. What is the dimensional formula of $a b^{-1}$ in the equation $\left( p + \frac{a}{V^2} \right) (V - b) = RT$, where letters have their usual meaning.

Q8. If $G$ be the gravitational constant and $u$ be the energy density then which of the following quantity has the dimension as that of $\sqrt{u G}$:

Q9. The dimensional formula of angular impulse is:

Q10. Given below are two statements:
Statement-I: Planck's constant and angular momentum have same dimensions.
Statement-II: Linear momentum and moment of force have same dimensions.