A particle's wave function is ψ(x) = Ae−c(x−b)2 where A = 1.95 nm−1/2 and b =...

A particle's wave function is ψ(x) = Ae−c(x−b)2 where A = 1.95 nm−1/2 and b = 0.600 nm.

(a) What is the value of the constant c (in nm−2)? nm−2

(b) What is the expectation value for the position of this particle (in nm)? nm

Expert Solution

if you have any queries then give me a comment and give me a like.

genius_generous answered 2 years ago

Consider the wave function Ψ = Ae−α|x| Which of the following boundary conditions are satisfied by...

Consider the wave function Ψ = Ae−α|x| Which of the following boundary conditions are satisfied by the wave function? Group of answer choices Ψ approaches zero as x approaches ±∞ Ψ is single valued. Ψ is finite everywhere. None of the boundary conditions are satisfied.

A particle is described by the wave function ψ(x) = b(a2 - x2) for -a ≤...

A particle is described by the wave function ψ(x) = b(a2 - x2) for -a ≤ x ≤ a and ψ(x)=0 for x ≤ -a and x ≥ a, where a and b are positive real constants. (a) Using the normalization condition, find b in terms of a. (b) What is the probability to find the particle at x = 0.21a in a small interval of width 0.01a? (c) What is the probability for the particle to be found between x...

A particle is described by the wave function ψ(x) = b(a2 - x2) for -a ≤...

A particle is described by the wave function ψ(x) = b(a2 - x2) for -a ≤ x ≤ a and ψ(x)=0 for x ≤ -a and x ≥ a , where a and b are positive real constants. (a) Using the normalization condition, find b in terms of a. (b) What is the probability to find the particle at x = 0.33a in a small interval of width 0.01a? (c) What is the probability for the particle to be found...

The wave function for hydrogen in the 1s state may be expressed as ψ(r) = Ae−r/a0....

The wave function for hydrogen in the 1s state may be expressed as ψ(r) = Ae−r/a0. Determine the normalization constant A for this wave function. (Use the following as necessary: a0.)

A traveling wave along the x-axis is given by the following wave function ψ(x, t) =...

A traveling wave along the x-axis is given by the following wave function ψ(x, t) = 4.5 cos(2.1x - 11.8t + 0.52),where x in meter, t in seconds, and ψ in meters. Find a) the frequency, in hertz b)The wavelength in meters. c) The wave speed, in meters per second. d) The phase constant in radians.

Asume the wave function Ψ(x) = A/(x²+a²) whith x real, A and a constants a) find...

Asume the wave function Ψ(x) = A/(x²+a²) whith x real, A and a constants a) find the normalized wave function Φ(p) un the momentum space associated to Ψ(x) b) use Φ(p) yo compute the expected values for p, p², and σ_p c) verify if this state fulfills the Heisenberg uncertainty principle

Let AE =C+I+G+NX where AE is the aggregate expenditure, C is the consumption function, I is...

Let AE =C+I+G+NX where AE is the aggregate expenditure, C is the consumption function, I is investment, G is government expenditure and NX is the net export. Given C = 100 + 0.65Y where Y is the national income and I = 100, G = 100+0.10Y, NX = 0 (a) Graph the consumption function with Y on the horizontal axis and C on the vertical axis. (b) Graph the aggregate expenditure function with Y on the horizontal axis and AE...

The parity operator P is defined by ˆ Pψ (x) =ψ (−x) for any function ψ(x)....

The parity operator P is defined by ˆ Pψ (x) =ψ (−x) for any function ψ(x). (a) Prove that this parity operator P is Hermitian. (b) Find its eigenvalues, and also its eigenfunctions (in terms of ψ(x)). (c) Prove that this parity operator commutes with the Hamiltonian when potential V(x) is an even function.

The normalized wave function of an electron in a linear accelerator is ψ = (cos χ)eikx...

The normalized wave function of an electron in a linear accelerator is ψ = (cos χ)eikx + (sin χ)e–ikx, where χ (chi) is a parameter. (a) What is the probability that the electron will be found with a linear momentum (a) +kħ, (b) −kħ? (c) What form would the wave function have if it were 90% certain that the electron had linear momentum +kħ? (d) Evaluate the kinetic energy of the electron.

Consider the following national-income model. Y = AE（1） AE = C + I0 + G0（2） C...

Consider the following national-income model. Y = AE（1） AE = C + I0 + G0（2） C = C0 + bY 0 < ? < 1（3） (a)Remaining in parametric form (do not sub in parameter values), build the equation for total spending AE (also known as aggregate demand). (b) Continuing in parametric form, find the RFE for equilibrium national income Y* (also known as equilibrium national output). (c) Using the parameter values ?0 = 25, ? = 0.75, ?0= 50, and...

Question

A particle's wave function is ψ(x) = Ae−c(x−b)2 where A = 1.95 nm−1/2 and b =...

Solutions

Expert Solution

Related Solutions

Consider the wave function Ψ = Ae−α|x| Which of the following boundary conditions are satisfied by...

A particle is described by the wave function ψ(x) = b(a2 - x2) for -a ≤...

A particle is described by the wave function ψ(x) = b(a2 - x2) for -a ≤...

The wave function for hydrogen in the 1s state may be expressed as ψ(r) = Ae−r/a0....

A traveling wave along the x-axis is given by the following wave function ψ(x, t) =...

Asume the wave function Ψ(x) = A/(x²+a²) whith x real, A and a constants a) find...

Let AE =C+I+G+NX where AE is the aggregate expenditure, C is the consumption function, I is...

The parity operator P is defined by ˆ Pψ (x) =ψ (−x) for any function ψ(x)....

The normalized wave function of an electron in a linear accelerator is ψ = (cos χ)eikx...

Consider the following national-income model. Y = AE（1） AE = C + I0 + G0（2） C...