How Does the Einstein Model Estimate Excited State Probability?

[nitefalls]

Homework Statement

In the Einstein model of a particular solid, one quantum of vibrational energy
is ΔE=0.050 eV. This means an energy equal to ΔE is needed to raise an oscillator from
one energy level to the next highest level. Assume this solid is at room temperature. What
is the probability that any particular oscillator will be found in its first excited state, relative
to the probability of finding it in its ground state?

Homework Equations

The Attempt at a Solution

I have no idea how to this

 

[ideasrule]

How many atoms have a kinetic energy less than 0.05 eV? How many have a kinetic energy that's more than 0.05 eV but less than 0.10 eV? You can use the Maxwell-Boltzmann distribution to figure this out.

 

[kerimek]

question as it is not clear what the solid is or what the specific energy levels are. More information is needed in order to accurately calculate the probability of finding an oscillator in its first excited state. Additionally, the Einstein model is a simplified model and may not accurately represent the behavior of a real solid. It is important to consider other factors and models in order to fully understand the behavior of the solid.