Answer:
[tex]5.3\times 10^{-11}\ m[/tex]
Step-by-step explanation:
In this problem, we need to express 53 pm in which is the size of a hydrogen atom, in scientific notation.
Any number can be expressed in scientific notation as follows :
[tex]N=a\times 10^b[/tex]
a is any real no and b is any integer
We know that, 1 pm = [tex]10^{-12}\ m[/tex]
It means, [tex]53\ pm=53\times 10^{-12}\ m[/tex]
or
[tex]53\times 10^{-12}\ m=\dfrac{53}{10}\times 10^{-12}\times 10\\\\=5.3\times 10^{-12+1}\\\\=5.3\times 10^{-11}\ m[/tex]
Therefore, the above is the scientific notation for the size of a hydrogen atom.
