An oscillator with frequency f = 2.1×1012 hz (about typical for a greenhouse gas molecule) is in equilibrium with a thermal reservoir at temperature t. the spacing between the energy levels of the oscillator is given by ε = hf, where h = 6.626×10-34 j*sec. 1)for what temperature does p1/p0 = 1/2, where p1 is the probability that the oscillator has e = ε (the first excited state) and p0 is the probability that it has e = 0 (the lowest energy state)?

T = 55.39 K

Explanation:

Given data:

frequency

Plank constant

we know that expression for calculating temperature is given as

here, P_1 probability that oscillator has . P_o is probability  that has  E = 0 and Boltzman constant has a value

from above expression

SOLVING FOR T WE HAVE

T = 55.39 K

the box does not move because you need to use a force greater than 300 n. you are only using 50 n. it needs to at least be 301 n for the box to move because then it is an unbalanced force and it will move the way that the greater force is pushing it. if you use only 300 n it will be a balanced force and will not move because the force you are exerting on the   box is the same as its force.

hope this !

im sorry if i went too in depth, i am going to include a link to a video on khan academy that will explain this.   hope that you like the video and that it explains more in detail to you.

that is the link.