Question

calculate energy of an atom in n th orbit in an atom. ​

Answer 1

Explanation:

The Energy of nth orbit is denoted by En Mass of an electron is denoted by m. ( m=9. ...

Velocity of electron in nth orbit is denoted by vn. The Radius of nth orbit is denoted by rn.

Charge on an electron is denoted by e(e=1. 6×10−19 C) Atomic number is denoted by Z.

Planck's constant is denoted by h(h=6.

Answer 2

Answer:

The energy of an electron in Bohr’s orbit of hydrogen atom is given by the expression:

energy of nth bohr's orbit for hydrogen like species

Since Z = 1 for hydrogen above equation can be further simplified to:

En = -13.6/n2 eV

Solution:

The energies of electrons in the Bohr's orbits of hydrogen atom expressed in eV are:

Orbit Energy

1 -13.6/12 = -13.6 eV

2 -13.6/22 = -3.4 eV

3 -13.6/32 = -1.51 eV

4 -13.6/42 = -0.85 eV

Excited state(s) represent n = 2, 3, 4 ...... (greater than 1).

Note:

The ratio of energy of electrons in the orbits of hydrogen atom is:

E1 : E2 : E3 : E4 ........... = 1/12 : 1/22 : 1/32 : 1/42 .......... = 1 : 1/4 : 1/9 : 1/16 ..........