Question

Calculate the probability that a particle will be found in a tiny slice of space between...

Calculate the probability that a particle will be found in a tiny slice of space between 0.59L and 0.61L in a box of length L (defined in the interval (0,L) ) when it is in quantum state n = 3. For simplicity of integration, take the wavefunction to have a constant value equal to its midpoint value in the range given.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The normalized wave functions for the particle is in a 1D box of length L., with...
The normalized wave functions for the particle is in a 1D box of length L., with limits on x = 0 and x = L. V (x) = 0 for 0 <= x <= L and V (x) = Infinity elsewhere. The probability of a particle being between x = 0 and x = L / 8 in the ground quantum state (n = 1) should be calculated.
II(20pts). Short Problems a) The lowest energy of a particle in an infinite one-dimensional potential well...
II(20pts). Short Problems a) The lowest energy of a particle in an infinite one-dimensional potential well is 4.0 eV. If the width of the well is doubled, what is its lowest energy? b) Find the distance of closest approach of a 16.0-Mev alpha particle incident on a gold foil. c) The transition from the first excited state to the ground state in potassium results in the emission of a photon with  = 310 nm. If the potassium vapor is...
The sides of a one dimensional quantum box (1-D) are in x=0, x=L. The probability of...
The sides of a one dimensional quantum box (1-D) are in x=0, x=L. The probability of observing a particle of mass m in the ground state, in the first excited state and in the 2nd excited state are 0.6, 0.3, and 0.1 respectively a) If each term contributing to the particle function has a phase factor equal 1 in t=0. What is the wave function for t>0? b) what is the probability of finding the particle at the position x=L/3...
Recall that |ψ|2dx is the probability of finding the particle that has normalized wave function ψ(x)...
Recall that |ψ|2dx is the probability of finding the particle that has normalized wave function ψ(x) in the interval x to x+dx. Consider a particle in a box with rigid walls at x=0 and x=L. Let the particle be in the first excited level and use ψn(x)=2L−−√sinnπxL For which values of x, if any, in the range from 0 to L is the probability of finding the particle zero? For which v alues of x is the probability highest?Express your...
For a particle in the first excited state of harmonic oscillator potential, a) Calculate 〈?〉1, 〈?〉1,...
For a particle in the first excited state of harmonic oscillator potential, a) Calculate 〈?〉1, 〈?〉1, 〈? 2〉1, 〈? 2〉1. b) Calculate (∆?)1 and (∆?)1. c) Check the uncertainty principle for this state. d) Estimate the length of the interval about x=0 which corresponds to the classically allowed domain for the first excited state of harmonic oscillator. e) Using the result of part (d), show that position uncertainty you get in part (b) is comparable to the classical range of...
Researchers developed a safety performance function​ (SPF), which estimates the probability of occurrence of a crash...
Researchers developed a safety performance function​ (SPF), which estimates the probability of occurrence of a crash for a given segment of roadway. Using data on over 100 segments of​ roadway, they fit the model E(y)=β0+β1x1+β2x2​, where y=number of crashes per three​ years, x1 = roadway length​ (miles), and x2=average annual daily traffic​ (number of​ vehicles)=AADT. Interstate Highways Variable Parameter Estimate Standard Error ​t-value Intercept 1.83708 0.57788 3.19 Length (x1) 0.15372 0.03744 3.02 AADT (x2) 0.00015 0.00003 5.25 ​Non-Interstate Highways Variable...
A particle with mass 2.61 kg oscillates horizontally at the end of a horizontal spring. A...
A particle with mass 2.61 kg oscillates horizontally at the end of a horizontal spring. A student measures an amplitude of 0.923 m and a duration of 129 s for 65 cycles of oscillation. Find the frequency, ?, the speed at the equilibrium position, ?max, the spring constant, ?, the potential energy at an endpoint, ?max, the potential energy when the particle is located 68.5% of the amplitude away from the equiliibrium position, ?, and the kinetic energy, ?, and...
The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation,...
The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitude toward school, and study habits of students. Scores range from 0 to 200. A selective private college gives the SSHA to a simple random sample of both male and female first-year students to study the difference in mean attitudes towards school and study habits between men and women. The data for men and women: n s Men 20 121.3 32.85 Women 18 141.1...
Q1 Electric cars of the same type  have ranges, X, that are normally distributed with a...
Q1 Electric cars of the same type  have ranges, X, that are normally distributed with a mean of 340 km and a standard deviation of 20 km, when driven on a test track. Define (a)  Find L and U such that (b) Find the probability that the range on the test track of a randomly chosen car of this type is between 300 km and 350 km. (c) Given that , what range on the test track can the manufacturer...
Strings The example program below, with a few notes following, shows how strings work in C++....
Strings The example program below, with a few notes following, shows how strings work in C++. Example 1: #include <iostream> using namespace std; int main() { string s="eggplant"; string t="okra"; cout<<s[2]<<endl; cout<< s.length()<<endl; ​//prints 8 cout<<s.substr(1,4)<<endl; ​//prints ggpl...kind of like a slice, but the second num is the length of the piece cout<<s+t<<endl; //concatenates: prints eggplantokra cout<<s+"a"<<endl; cout<<s.append("a")<<endl; ​//prints eggplanta: see Note 1 below //cout<<s.append(t[1])<<endl; ​//an error; see Note 1 cout<<s.append(t.substr(1,1))<<endl; ​//prints eggplantak; see Note 1 cout<<s.find("gg")<<endl; if (s.find("gg")!=-1) cout<<"found...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT