The atomic radius is defined as the total distance from the nucleus of an atom to the outermost shell of an electron. Since electrons are constantly moving, the atomic radius is taken as the average distance.

Option 1 states 37 nanometer, which is exceedingly large for an atomic radius considering 1 nanometer equals 1000 picometers.

Option 2 states 37 picometer which is indeed the correct answer as the atomic radius of a hydrogen atom in its ground state is approximately this value.

Option 3 and 4 propose 17 picometer and 57 picometer, respectively. Both of these options are incorrect as they do not match the standard measurements of atomic radii, especially for a Hydrogen atom that only has one electron, therefore, can`t be very large nor very small in atomic radius.

In conclusion, different atoms have different atomic radii, but for hydrogen, it`s approximately 37 picometers.