In which of the following the radius of the first orbit is minimum 1)A Hydrogen atom 2)Triply ionized beryllium 3)A tritium atom 4)Double ionized helium?

Question

Answer

2) Be+3 becz. radius is inversely proportional to +ve charge

Answer

Radius of First Orbit in Different Atoms

Hydrogen Atom: The radius of the first orbit in a hydrogen atom is minimum. This is because the hydrogen atom has only one electron, which is attracted by the positively charged nucleus, making the electron's path closer to the nucleus. The radius of the first orbit is given by the formula r = (n^2h^2)/(4π^2me^2), where n is the principal quantum number, h is Planck's constant, me is the mass of the electron, and e is the charge of the electron. For hydrogen, the value of n is 1, which gives the smallest possible radius for the first orbit.

Triply Ionized Beryllium: Triply ionized beryllium has three electrons removed from its neutral state, leaving only one electron in the system. The electron is attracted to the nucleus with a charge of +4, making its path closer to the nucleus. However, the radius of the first orbit in triply ionized beryllium is larger than that of hydrogen because the electron experiences a stronger Coulombic repulsion from the remaining two electrons in the system.

Tritium Atom: Tritium is a hydrogen isotope with one proton and two neutrons in its nucleus. Like hydrogen, tritium has only one electron, but its nucleus has a greater charge due to the presence of two neutrons. The electron is attracted to the nucleus, making its path closer to the nucleus. However, the radius of the first orbit in tritium is larger than that of hydrogen because the electron experiences a stronger Coulombic repulsion from the two neutrons in the nucleus.

Double Ionized Helium: Double ionized helium has two electrons removed from its neutral state, leaving only two electrons in the system. The electrons are attracted to the nucleus with a charge of +2, making their paths closer to the nucleus. However, the radius of the first orbit in double ionized helium is larger than that of hydrogen because the two electrons experience a stronger Coulombic repulsion from each other.

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