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
jeka94
3 years ago
11

An electron (restricted to one dimension) is trapped between two rigid walls 1.40 nm apart. The electron's energy is approximate

ly 19 eV. (a) What is the quantum number n for the energy state that the electron occupies? (b) Based on the quantum number you found in part (a), calculate a more precise value for the electron's energy in eV), expressed to at least three significant figures. (Use any physical constants or unit conversions to at least four significant figures in your calculations.) _________ eV
Physics
1 answer:
Bumek [7]3 years ago
3 0

Answer:

a)    n = 9.9       b)      E₁₀ = 19.25 eV

Explanation:

Solving the Scrodinger equation for the electronegative box we get

         Eₙ = (h² / 8m L²2) n²

where l is the distance L = 1.40 nm = 1.40 10⁻⁹ m and n the quantum number

 In this case En = 19 eV let us reduce to the SI system

          En = 19 eV (1.6 10⁻¹⁹ J / 1 eV) = 30.4 10⁻¹⁹ J

          n = √ (In 8 m L² / h²)

let's calculate

          n = √ (8  9.1 10⁻³¹ (1.4 10⁻⁹)²  30.4 10⁻¹⁹ / (6.63 10⁻³⁴)²

          n = √ (98)            n = 9.9

since n must be an integer, we approximate them to 10

b) We substitute for the calculation of energy

        In = (h² / 8mL2² n²

        In = (6.63 10⁻³⁴) 2 / (8 9.1 10⁻³¹  (1.4 10⁻⁹)² 10²

        E₁₀ = 3.08 10⁻¹⁸ J

we reduce eV

      E₁₀ = 3.08 10⁻¹⁸ j (1ev / 1.6 10⁻¹⁹J)

      E₁₀ = 1.925 101 eV

      E₁₀ = 19.25 eV

the result with significant figures is

        E₁₀ = 19.25 eV

You might be interested in
A sailfish swims 120 km/hr. How far will it travel in 8.0 minutes?
Rasek [7]

Answer:

16km

Explanation:

First change the minutes into hours then multiply by the distance.

(8÷60)×120=16km

5 0
3 years ago
One person can hold mutiple types of authority at a time<br><br><br> T/F
Anit [1.1K]
True,i might be wrong.
4 0
3 years ago
Clarissa thought that learning to play the banjo was a waste of time. She didn't bother to practice after her lessons
emmasim [6.3K]

Answer:

The answer ro this question is fear of failure

7 0
3 years ago
Read 2 more answers
A dragster starts from rest and travels 1/4 mi in 6.80 s with constant acceleration. What is its velocity when it crosses the fi
Ahat [919]
<h2>Its velocity when it crosses the finish line is 117.65 m/s</h2>

Explanation:

We have equation of motion s = ut + 0.5 at²

        Initial velocity, u = 0 m/s

        Acceleration, a = ?

        Time, t = 6.8 s    

        Displacement, s = 1/4 mi =    400 meters

     Substituting

                      s = ut + 0.5 at²

                      400 = 0 x 6.8 + 0.5 x a x 6.8²

                      a = 17.30 m/s²

Now we have equation of motion v = u + at

     Initial velocity, u = 0 m/s

     Final velocity, v = ?

     Time, t = 6.8 s

      Acceleration, a = 17.30 m/s²

     Substituting

                      v = u + at  

                      v = 0 + 17.30 x 6.8

                      v = 117.65 m/s

Its velocity when it crosses the finish line is 117.65 m/s

6 0
3 years ago
What is the total resistance in this circuit?
saul85 [17]

Answer:B

Explanation:

6 0
2 years ago
Other questions:
  • Lasers utilize concentrated light waves, focused precisely and used for certain applications. What are some common uses of laser
    8·2 answers
  • Which item is an example of a primary source? A. An academic paper analyzing John F. Kennedy's presidency B. A transcript of a p
    11·1 answer
  • Two protons in an atomic nucleus are typically separated by a distance of 2 ✕ 10-15 m. The electric repulsion force between the
    12·2 answers
  • (I will give brainliest whoever helps me !!)
    12·1 answer
  • what is newton's second law of motion? forces are balanced when they are equal and opposite. an object at rest or in motion will
    9·2 answers
  • Magnesium is an alkaline earth metal with an atomic number of 12. It’s in the third row in the periodic table. Which expression
    13·2 answers
  • Find the angle of refraction of a ray of light that enters a diamond (n=2.419) from air at an angle of 18.0° to the normal. ONLY
    14·1 answer
  • Mr. Bennet's class completed an investigation on magnetism. They found that most metals were attracted to magnets and plastics w
    9·1 answer
  • 5. Why are ceramics and plastics good insulators?
    9·1 answer
  • A child at the top of a slide de has a gravitational store of 1800J. What is the child's maximum kinetic store as he slides down
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!