A chemist measures a reaction rate as $2.5 imes 10^{-3}$ mol L$^{-1}$ $s^{-1}$. Express this rate in molecules $cm^{-3}$ $\mu s^{-1}$ (molecules per cubic centimeter per microsecond). Avogadro's number = $6.022 imes 10^{23}$ molecules/mol.

The dimensions of resistance are same as those of ………. Where h is the Planck’s constant and e is the charge.

If L,C and R denote inductance, capacitance and resistance respectively, then which of the following combination has the dimension of time?

R,L and C represent the physical quantities resistance, inductance and capacitance respectively. Which one of the following combination has dimension of frequency?

The unit of L/R is (where L=inductance and R= Resistance)

$\left[ {{\rm{M}}{{\rm{L}}^2}{{\rm{T}}^{ - 3}}{{\rm{A}}^{ - 2}}} \right]$ is the dimensional formula of

If C,R,L and I denote capacity, resistance, inductance and electric current respectively, the quantities having the same dimensions of time are $\left( 1 \right)\,CR,\,\,\left( 2 \right)\,\frac{L}{R}\,,\,\,\left( 3 \right)\,\sqrt {LC} \,\,\left( 4 \right)\,L{I^2}$

Dimension of R is

R,L and C represent the physical quantities resistance, inductance and capacitance respectively. Which one of the following combination has dimension of frequency?

$M{L^3}{T^{ - 1}}{Q^{ - 2}}$ is dimensions of

The physical quantity having the dimensions $\left[ {{{\rm{M}}^{ - 1}}{{\rm{L}}^{ - 3}}{{\rm{A}}^2}{T^3}} \right]$ is