For a hydrogen atom, the energies that an electron can have are given by the expression, $E = - 13.58 / n^{2} e V$ , where $n$ is an integer. The smallest amount of energy that a hydrogen atom in the ground state can absorb is:

1.00 e V

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3.39 e V

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6.79 e V

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10.19 e V

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $10.19 e V$
The smallest amount of energy that a hydrogen atom in the ground state can absorb is 10.19 eV. It is equal to the energy difference between first and second energy levels.
For a hydrogen atom, the energies that an electron can have are given by the expression, $E = - 13.58 / n^{2} e V$ , where n is an integer.
For first energy level,
$E_{1} = - 13.58 / 1^{2} e V = - 13.58 e V$
For second energy level,
$E_{2} = - 13.58 / 2^{2} e V = - 3.395 e V$
The difference $E_{2} - E_{1} = - 3.395 e V - (- 13.58 e V) = 10.19 e V$
Hence, the option (D) is the correct answer.

Suggest Corrections

Similar questions

Q. For the hydrogen atom, the energy of the electron in the

n

th orbit is given by

E = \frac{- 13.6}{n^{2}} e V

, where

n

is an integer. The smallest amount of energy that a hydrogen atom can absorb in its ground state is:

The Bohr's energy equation for H -atoms reveals that the energy level of a shell is given by E = - 13.58/n²eV. The smallest amount that an H-atoms will absorb, if in ground state is:

Q. For the hydrogen atom, the energy of the electron is defined by the factor

E_{n} = - 13.58 / n^{2} e V

. Here n is positive integer. The minimum quantity of energy which it can absorb in its primitive stage is:

Q. For the hydrogen atom, the energy of the electron is defined by the factor

E_{n} = - 13.58 / n^{2} eV

. Here n is positive integer.
The minimum amount of energy that can be absorbed by hydrogen atom in its ground state is:

Q. The energy of the electron in the hydrogen atom is given by the expression atom in the ground state can absorb is:

Join BYJU'S Learning Program

For a hydrogen atom, the energies that an electron can have are given by the expression, E=−13.58/n2eV, where n is an integer. The smallest amount of energy that a hydrogen atom in the ground state can absorb is:

For a hydrogen atom, the energies that an electron can have are given by the expression, $E = - 13.58 / n^{2} e V$ , where $n$ is an integer. The smallest amount of energy that a hydrogen atom in the ground state can absorb is: