Question

Relation between A⁰and mm​

Answer 1

In our universe, The order of magnitude of largest things to small things is of 41.

To measure such varied magnitudes, There are different units which help to measure easily.

Angstrom units is a unit of length, equal to the 1 divided by 10^ 10 m.

$\boxed{ \bold {1 \: a ^{ \circ} = \frac{1}{ {10}^{10} }m }}$

Millimetre is a unit of length equal to 1 divided by 10^3 m.

$\boxed{ \bold {1 \: mm = \frac{1}{ {10}^{3} } m }}$

Now, Let's deduce a relationship between the above quantities.

$\bold {1 \: A ^{ \circ} = \frac{1}{ {10}^{10} } \: m } \\ \\ 1 \: A ^{ \circ} = \frac{1}{ {10}^{3 + 7} } \: m \: = \frac{1}{10 ^{3} \times {10}^{7} }m \\ \\ \: 1 \: A ^{ \circ} = \frac{1}{ {10}^{3} \: } \times \frac{1}{ {10}^{7} } \: m \\ \\ 1 \: A ^{ \circ} = \frac{1}{ {10}^{7} } \times ( \frac{1}{ {10}^{3} }) m = \frac{1}{10 ^{7} } mm$

Therefore,

$\boxed{ \bold{1 \: A ^{ \circ} = {10}^{ - 7} mm}}$