Question

in the bohr model of the h atom what is the ratio of energy of the electron orbit (shell) 1 to the energy of orbit 3?

Answer 1

In the Bohr model of the hydrogen atom, the ratio of the energy of electron orbit 1 to electron orbit 3 is 9.

Step-by-step explanation:

In the Bohr model of the hydrogen atom, the energy levels are quantized, meaning that the energy of each orbit is fixed at certain values. The energy levels are given by the equation:

E = -13.6 eV / n2

where E is the energy of the orbit and n is the quantum number representing the orbit number. To find the ratio of energy between orbit 1 and orbit 3, we can substitute n = 1 and n = 3 into the equation and calculate the ratio.

For orbit 1:

E1 = -13.6 eV / 12

For orbit 3:

E3 = -13.6 eV / 32

Now we can calculate the ratio:

E1 / E3 = (-13.6 eV / 12) / (-13.6 eV / 32)

E1 / E3 = -13.6 eV / -13.6 eV * (32 / 12)

E1 / E3 = -13.6 eV / -13.6 eV * 9 / 1

E1 / E3 = 1 / 1 * 9

E1 / E3 = 9

Therefore, the ratio of the energy of orbit 1 to the energy of orbit 3 is 9.