Answer:
![5.3* 10^(-11)\ m](https://img.qammunity.org/2021/formulas/mathematics/high-school/fk00owxz1nhvkvsefly0f5l74p8cbihj7i.png)
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 :
![N=a* 10^b](https://img.qammunity.org/2021/formulas/physics/college/aw0m709ghhucalq9kddum9kxqd2bfbsh3p.png)
a is any real no and b is any integer
We know that, 1 pm =
![10^(-12)\ m](https://img.qammunity.org/2021/formulas/physics/high-school/qpm8zvrlnk92h9ji8k2h5aezsjsg1dah7m.png)
It means,
![53\ pm=53* 10^(-12)\ m](https://img.qammunity.org/2021/formulas/mathematics/high-school/bvcpre6ogked1kour21ke4tnrz1v1c0odz.png)
or
![53* 10^(-12)\ m=(53)/(10)* 10^(-12)* 10\\\\=5.3* 10^(-12+1)\\\\=5.3* 10^(-11)\ m](https://img.qammunity.org/2021/formulas/mathematics/high-school/drdj3tcoscgvc7hhchhuo4lsshpiix0y2f.png)
Therefore, the above is the scientific notation for the size of a hydrogen atom.