Which is dimensionless
$\frac{{{\rm{Force}}}}{{{\rm{Acceleration}}}}$
$\frac{{{\rm{Velocity}}}}{{{\rm{Acceleration}}}}$
$\frac{{{\rm{Volume}}}}{{{\rm{Area}}}}$
$\frac{{{\rm{Energy}}}}{{{\rm{Work}}}}$
Which of the following represents the dimensions of Farad
If the capacitance of a nanocapacitor is measured in terms of a unit $u$ made by combining the electric charge $e,$ Bohr radius $a_0,$ Planck's constant $h$ and speed of light $c$ then
The dimension of $\frac{1}{2} \varepsilon_0 E ^2$, where $\varepsilon_0$ is permittivity of free space and $E$ is electric field, is
What is the dimensions of impedance?
Match List $I$ with List $II$
List $I$ | List $II$ |
$(A)$ Young's Modulus $(Y)$ | $(I)$ $\left[ M L ^{-1} T ^{-1}\right]$ |
$(B)$ Co-efficient of Viscosity $(\eta)$ | $(II)$ $\left[ M L ^2 T ^{-1}\right]$ |
$(C)$ Planck's Constant $(h)$ | $(III)$ $\left[ M L ^{-1} T ^{-2}\right]$ |
$(D)$ Work Function $(\phi)$ | $(IV)$ $\left[ M L ^2 T ^{-2}\right]$ |
Choose the correct answer from the options given below: