Question

How many nanometres are in a meter?
A. \[{10^{ - 9}}\]
B. \[{10^9}\]
C. \[{10^{ - 12}}\]
D. \[{10^{12}}\]
E. \[{10^7}\]

Answer 1

Hint:The above problem can be resolved using the fundamentals of conversion of units into various forms. The term “nano” means anything divided by \[{10^9}\], we provide the suitable result in nanometres.

Complete step by step answer:
The nanometres and the metres are the units of the measurements that can be employed to determine the measurement of length of any object. A meter is the fundamental unit of length and is known as the International Standard (SI) units of length.
The nanometre (nm) is equivalent to the one- billionth of the part of a metre. The prefix “nano” ican refers to the one-billionth and can be written in the mathematical form as,
\[1\;{\rm{m}} = 1\;{\rm{m}} \times \dfrac{{{{10}^{ - 9}}\;{\rm{nm}}}}{{1\;{\rm{m}}}} = {10^{ - 9}}\;{\rm{nm}}\]
Therefore, \[{10^{ - 9}}\] nanometres contained in one metre and option A is correct.

Note: Try to remember the fundamentals of unit conversion of SI units into the several forms like Kilo, hector, Giga, mili and many more. Moreover, the appropriate use of unit conversions is necessary to provide the desired result.