Question

The ratio of one Micron to one Nanometre is,

• A. ${10}^{-1}$
• B. ${10}^3$
• C. ${10}^{-3}$
• D. ${10}^{-6}$

Answer 1

The correct option is B

${10}^3$

The explanation for the correct option.

As we know,

$$\begin{gathered} 1\mathrm{\mu m}={10}^{-6}\mathrm{m} \\ 1\mathrm{nm}={10}^{-9}\mathrm{m} \end{gathered}$$

The ratio of one Micron to one Nanometre is,

$$\begin{gathered} \frac{1\mathrm{\mu m}}{1\mathrm{nm}}=\frac{{10}^{-6}}{{10}^{-9}} \\ \Rightarrow ={10}^{-6}\times {10}^9 \\ \Rightarrow ={10}^{9-6}\left[\because a^m\times a^n=a^{m+n}\right] \\ \Rightarrow ={10}^3 \end{gathered}$$

Hence, the option B is correct.