A quantum simple harmonic oscillator with energies nE, where n=0,1,2,... and E= 9.6 × 10-21 J is connected to an environ

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A quantum simple harmonic oscillator with energies nE, where
n=0,1,2,... and E= 9.6 × 10-21 J is
connected to an environment with temperature 245 K.
1- What is the ratio P(5E)/P(2E) ?
a. 5 × 10^3
b. 6.83 × 10^-7
c. 1.46 × 10^6
d. 2 × 10^-4
e. 0.0585
2- Suppose we decrease the separation between the energy levels.
The ratio will
a. increase
b. stay the same
c. decrease