Energy transition (bohrs model)

[mss90]

Homework Statement

By using the Bohr model of the atom:
whats the lowest energy transition from the n=2 to n=1
state in Hydrogen (Z=1)

Homework Equations

En = -13.6eV*Z2/n2

The Attempt at a Solution

En = -13.6eV*Z2/n2
n=2 -> n=1 for hydrogen (Z=1)
E2= -13.6eV*12/22 =-3.4 eV
E1= -13.6eV*12/12 = -13.6 eV
deltaE = x1 – x2 = -3.4 + 13.5 = 10.2 eV

So 10.2 eV is the lowest energy transition from n2 to n1 right?

Does the constant change with elements?

 

[DrClaude]

The question is strangely phrased, as there is no "lowest energy" for the transition, only the transition energy. Your calculation appers correct, although you should put in some effort when writing equations: 22 instead of 2² makes it unreadable.

Does the constant change with elements?

Within the limits of the Bohr model (only one electron, fixed nucleus, classical orbits), the constant is always the same.