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3.Express the number appearing in the following statements in standard form.
(i) 1 micron is equal to \(\frac { 1 }{ 1000000 }\) m.

(ii) Charge of an electron is 0.000,000,000,000,000,000,16 coulomb

(iii) Size of a bacteria is 0.0000005 m

(iv) Size of a plant cell is 0.00001275 m

(v) Thickness of a thick paper is 0.07 mm.


Answer :

(i)We have 1 micron=\(\frac { 1 }{ 1000000 }\)

\(=\frac{1}{10^6}m=10^{-6}\)

(ii)We know charge of an electron=0.000,000,000,000,000,000,16

\(\frac{16}{1,000,000,000,000,000,000,00}=\frac{1.6\times 10}{1,000,000,000,000,000,000,00}\)

\(=\frac{1.6\times 10}{10^{20}}=1.6\times 10^{1-20}=1.6\times 10^{-19}\)

(iii)We have size of bacteria=0.0000005m

\(=\frac{5}{10000000}m=\frac{0.5\times 10}{10^7}m\)

\(=0.5\times 10^{1-7}m=0.5\times 10^{-6}m\)

\(=5\times 10^{-7}m\)

(iv)We have size of plant cell=0.00001275m

\(=\frac{1275}{100000000}m=\frac{1.275\times 10^3}{10^8}m\)

\(=1.275\times 10^{3-8}m=1.275\times 10^{-5}m\)

\(=1.275\times 10^{-5}m\)

(v)We have thickness of paper=0.07mm

\(=\frac{7}{100}mm=\frac{0.7\times 10}{10^2}mm\)

\(=0.7\times 10^{1-2}mm=0.7\times 10^{-1}mm\)

\(=7\times 10^{-2}mm\)