1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
EastWind [94]
3 years ago
11

An oscillator with frequency f = 2.1×10^(12) Hz (about typical for a greenhouse gas molecule) is in equilibrium with a thermal r

eservoir 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.
(a) 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)?
(b) If T is 10% of the value you calculated in part 1), what is the ratio P1/P0?
(c) At the temperature of part (b), what is the ratio P2/P1, where P2is the probability that the oscillator is in the second excited state (E = 2ε)?
Physics
1 answer:
Nana76 [90]3 years ago
6 0

Answer:

a) The temperature is 48.41 K

b) P₁/P₀ = 1

c) PL/P₀ = 1

Explanation:

a) Given:

P₁/P₀ = 1/2

According the expression:

\frac{P_{1} }{P_{o} } =\frac{e^{-\beta E_{1} } }{e^{-\beta E_{o} } } \\\frac{P_{1} }{P_{o} }=\frac{e^{-\beta E_{1} } }{e^{-\beta *0 } }\\\frac{P_{1} }{P_{o} }=e^{-\beta E} \\\beta =\frac{1}{kt} \\\frac{P_{1} }{P_{o} }=e^-{\frac{\epsilon }{kt} }

\epsilon =hf=6.626x10^{-34} *2.1x10^{12} =1.39x10^{-21} J

k = Boltzmann constant = 1.38x10⁻²³

\frac{1}{2} =e^{\frac{-4.63x10^{-22} }{1.38x10^{-23} T} } \\\frac{1}{2}=e^{33.55T} \\ln(1/2)=-33.55/T\\-0.693=-33.55/T\\T=48.41K

b) If T = 10%

T_{2} =0.1*48.41 =4.841K

\frac{P_{1} }{P_{o} } =e^{\frac{-4.63x10^{-22} }{1.38x10^{-23} *4.841} }=1

c) If

\frac{P_{L} }{P_{1} } =e^{-\beta (E_{2}-E_{1}  } =ex^{-\frac{\epsilon }{kT} } \\E_{2}-E_{1} =2\epsilon -\epsilon = \epsilon  \\Then\\\frac{P_{L} }{P_{1} } = 1 (same)

You might be interested in
Energy from various sources is considered to have been derived from sun.Do you agree?Do justify.
Kruka [31]
Yes! with out the sun plants and animals wouldnt live right? therefore they get energey wich is passed on by food
3 0
3 years ago
What are the 3 parts of an atom and give the electric charge of each
xeze [42]
Proton  
charge +

electron 
charge -

neutron
charge neutral
3 0
3 years ago
Must all species reproduce in order for the species to survive?
Airida [17]

ANSWER:

the correct answer is D.Yes; without reproduction, once the living organisms died, there would be no offspring to replace them.

TIP: bc if a species dies and it doesnt reproduce that species will go extinct, and remember every specie plays a role in life (but they are some animals that dont and are just a threat to the world). so reproducing is the only way to keep their generation going!

~batmans wife dun dun dun...aka ~serenitybella

5 0
3 years ago
Read 2 more answers
What is the kinetic energy of a 74.0 kg skydiver falling at a terminal velocity of 52.0m/s?
skad [1K]

Answer:

100,048

Explanation:

K.E = 1/2 m (v)^2

K.E = 1^/2 * 74 * (52)^2

K.E = 100,048J =100.048kJ

8 0
3 years ago
What are valence electrons?
SashulF [63]

Answer:

The correct answer is D. Electrons in an atom that can bond with other atoms.

Explanation:

For those of you that need it still

8 0
3 years ago
Other questions:
  • (33%) Problem 3: Two cars collide at an icy intersection and stick together afterward. The first car has a mass of 1100 kg and i
    6·1 answer
  • A vw bug is driving north on a straight two lane road at a constant 54 mph and chevy impala south at 47 on the same road (but di
    11·1 answer
  • Two electrons are separated by 1.70 nm. What is the magnitude of the electric force each electron exerts on the other?
    11·1 answer
  • Listed following are several fictitious stars with their luminosities given in terms of the Sun's luminosity (LSun) and their di
    5·1 answer
  • If the decomposition of hydrogen peroxide is a first order reaction and it takes 20.0 minutes for the initial concentration to f
    6·1 answer
  • How is social status directly related to health care?
    14·2 answers
  • y’all I would rlly appreciate if y’all gave me the answers to all my questions. My cousin has over 200 assignments she hasn’t do
    7·1 answer
  • What is the kinetic energy of a 30 kg falling object when the object reaches a velocity of 20 m/s?
    7·1 answer
  • A train travels 120 km at a speed of 60 km/h, makes a stop for 0.5 h, and then travels the next 180 km at a speed of 90 km/h. Wh
    8·1 answer
  • To describe velocity, you need to know ____. (1 point)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!