Question

Write the name and number represented by each symbol. For example,kWyou should write $\mathrm{kW}=\mathrm{kilowatt}={\mathbf{10}}^{\mathbf{3}}\mathbf{}\mathbf{watts}$.

1. mW
2. pm
3. $\mathrm{k\Omega }$
4. $\mathrm{\mu F}$
5. TJ
6. ns
7. fg
8. dPa

Short answer

The following are names and numbers represented by specific symbols:

$$\begin{gathered} \mathbf{a}\mathbf{)}\mathbf{}\mathrm{mW}=\mathrm{milliwatt}={\mathbf{10}}^{-3}\mathrm{watt} \\ \mathbf{b}\mathbf{)}\mathrm{pm}=\mathrm{picometer}={\mathbf{10}}^{\mathbf{-}\mathbf{12}}\mathrm{meter} \\ \mathbf{c}\mathbf{)}\mathbf{}\mathrm{k\Omega }=\mathrm{kiloohm}={\mathbf{10}}^{\mathbf{3}}\mathrm{ohm} \\ \mathbf{d}\mathbf{)}\mathbf{}\mathrm{\mu F}=\mathrm{microfarad}={\mathbf{10}}^{\mathbf{-}\mathbf{6}}\mathrm{farads} \\ \mathbf{e}\mathbf{)}\mathrm{TJ}=\mathrm{tetrajoule}={\mathbf{10}}^{\mathbf{-}\mathbf{15}}\mathrm{joule} \\ \mathbf{f}\mathbf{)}\mathbf{}\mathrm{ns}=\mathrm{nanosecond}={\mathbf{10}}^{\mathbf{-}\mathbf{9}}\mathrm{second} \\ \mathbf{g}\mathbf{)}\mathbf{}\mathrm{fg}=\mathrm{femtpgram}={\mathbf{10}}^{\mathbf{-}\mathbf{15}}\mathrm{gram} \\ \mathbf{h}\mathbf{)}\mathbf{}\mathrm{dPa}=\mathrm{decipascal}={\mathbf{10}}^{\mathbf{-}\mathbf{1}}\mathrm{pascal} \end{gathered}$$

Step-by-step solution

Definition for SI Units

• SI units exist for a variety of quantities.
• To express tiny or large volumes, prefixes are employed. If the length of some material is ${10}^{-3}\mathrm{m}$.
• For example, the SI unit of length is metres.
• is a better way to represent it.
• A factor of${10}^{-3}$is denoted by the prefix m.
• Every unit has the same prefixes.

 Represent the name and number for mW

(a)

The unit power of mW is,

$$\begin{gathered} \mathrm{mW}=\mathrm{milliwatt} \\ ={\mathbf{10}}^{\mathbf{-}\mathbf{3}}\mathrm{Watts} \end{gathered}$$

 Represent the name and number for pm

(b)

The unit of length pm is,

$$\begin{gathered} \mathrm{pm}=\mathrm{picometer} \\ ={\mathbf{10}}^{\mathbf{-}\mathbf{12}}\mathrm{meter} \end{gathered}$$

 Represent name and number for kΩ 

(c)

$\mathrm{k\Omega }$is unit of electric resistance.

$$\begin{gathered} \mathrm{k\Omega }=\mathrm{kilooh} \\ ={\mathbf{10}}^{\mathbf{3}}\mathrm{ohms} \end{gathered}$$

 Represent name and number for μF 

(d)

Here,$\mathrm{\mu F}$is a unit of electric capacitance.

$$\begin{gathered} \mathrm{\mu F}=\mathrm{microfarad} \\ ={\mathbf{10}}^{\mathbf{-}\mathbf{6}}\mathrm{farad} \end{gathered}$$