Answer
Verified457.5k+ views
Hint: To find the relation between a nanometer and an angstrom we express them in terms of a common unit of measurement like meters and make a relation between them.
Step By Step Answer :
A nanometer is a unit of measurement length in the metric system which is one billionth of the standard unit of measurement “meter”.
It is denoted by ‘nm’.
It can be expressed as 1 nanometer = $1 \times {10^{ - 9}}$m. --- (1)
It is a part of the S.I system of units.
A nanometer is generally used to measure very small distances like the size of molecules or while observing germs under an electronic microscope.
An angstrom is a unit of measurement length in the metric system which is one ten-billionth of the standard unit of measurement “meter”.
It is denoted by$'\mathop {\text{A}}\limits^{\text{o}} '$.
It can be expressed as 1 angstrom = $1 \times {10^{ - 10}}$m. --- (2)
It is not a part of the S.I system of units.
An angstrom is generally used to measure very small distances like the wavelength of a light wave etc.
Therefore from equation (1) and (2), we get
${\text{1m = }}{10^{\text{9}}}{\text{nm = 1}}{{\text{0}}^{10}}\mathop {\text{A}}\limits^{\text{o}} $
$\Rightarrow {10^{\text{9}}}{\text{nm = 1}}{{\text{0}}^{10}}\mathop {\text{A}}\limits^{\text{o}} \\
\Rightarrow 1{\text{ nm = 10 }}\mathop {\text{A}}\limits^{\text{o}} \\
$
Hence the relation between a nanometer and an angstrom is that one nanometer is equal to ten times of an angstrom.
Note: In order to solve this type of questions the key is to know the definitions of angstrom and nanometer. Once we know the definition we write it in terms of a single unit and form a relation between them.
Just like angstrom and nanometers are units of distance for very small measurements, there are a few units which are used to measure very long distances. They are –
Nautical mile, it is a measurement used in marine and space navigation. 1 nautical mile = 1852 m.
Light year, it is defined as the distance a light ray travels in one year. 1 light year = 9.4607 × ${10^{12}}$ Km.
Step By Step Answer :
A nanometer is a unit of measurement length in the metric system which is one billionth of the standard unit of measurement “meter”.
It is denoted by ‘nm’.
It can be expressed as 1 nanometer = $1 \times {10^{ - 9}}$m. --- (1)
It is a part of the S.I system of units.
A nanometer is generally used to measure very small distances like the size of molecules or while observing germs under an electronic microscope.
An angstrom is a unit of measurement length in the metric system which is one ten-billionth of the standard unit of measurement “meter”.
It is denoted by$'\mathop {\text{A}}\limits^{\text{o}} '$.
It can be expressed as 1 angstrom = $1 \times {10^{ - 10}}$m. --- (2)
It is not a part of the S.I system of units.
An angstrom is generally used to measure very small distances like the wavelength of a light wave etc.
Therefore from equation (1) and (2), we get
${\text{1m = }}{10^{\text{9}}}{\text{nm = 1}}{{\text{0}}^{10}}\mathop {\text{A}}\limits^{\text{o}} $
$\Rightarrow {10^{\text{9}}}{\text{nm = 1}}{{\text{0}}^{10}}\mathop {\text{A}}\limits^{\text{o}} \\
\Rightarrow 1{\text{ nm = 10 }}\mathop {\text{A}}\limits^{\text{o}} \\
$
Hence the relation between a nanometer and an angstrom is that one nanometer is equal to ten times of an angstrom.
Note: In order to solve this type of questions the key is to know the definitions of angstrom and nanometer. Once we know the definition we write it in terms of a single unit and form a relation between them.
Just like angstrom and nanometers are units of distance for very small measurements, there are a few units which are used to measure very long distances. They are –
Nautical mile, it is a measurement used in marine and space navigation. 1 nautical mile = 1852 m.
Light year, it is defined as the distance a light ray travels in one year. 1 light year = 9.4607 × ${10^{12}}$ Km.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE