A protein molecule's diameter is measured as 42 Å using X-ray diffraction. If another measurement instrument gives the diameter in picometers (pm), and the ratio of the two measurements is $\frac{x}{10}$, what is the value of $x$?

If C is the capacitance and V is the potential, the dimensional formula for $C{V^2}$ is

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

If V denotes the potential difference across the plates of a capacitor of capacitance C, the dimensions of $C{V^2}$ are

Dimensional formula of capacitance (or farad) is

The dimensions of farad are

Dimensions of CR are those of

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

In the formula, $a = 3b{c^2},a$ and c have dimensions of electric capacitance and magnetic induction respectively. What are dimensions of b in MKS system?

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

The dimension of quantity (L/RCV) is