Quantum Mechanics Answers

In the fission of a part of uranium there is loss in mass of 0.5g. How many kilo-watt hour energy will be obtained ?

The eigenvalues and eigenfunctions of a quantum mechanical operator A are denoted
by an and ψn,respectively. If f(x) denotes a function that can be expanded in the
powers of x, show that:
f (A)ψ n = f (an)ψ n

Classify the following particles as Baryons, Mesons and Leptons: µ, νe , e, Σ+ , Λ, p, K+, η0, π+ , π−

mathematical equation that shows the relationship among energy, wavelength, and speed of light and give me the name of this equation.

a) what is simple quantum mechanics?
b) what is wave function?

The quantum mechanical wave function for a particle is given by

Ax^3/2 e^-ax, x>0
ψ (x)= {
0 , x<0

Determine (i) the normalization constant A and (ii) the most probable positio

The one-dimensional time-independent Schrödinger equation is
.
a/ A particle of mass m is contained in a one-dimensional box of width a. The potential energy U(x) is infinite at the walls of the box (x = 0 and x = a) and zero in between (0 < x < a).
Show that the solutions have the form: U(x)=Csin(n.pi.x/a) . Find the constant C.
b/ For the case n = 3, find the probability that the particle will be located in the region a/3 <x< 2a/3
.
c/ Sketch the wave-functions and the corresponding probability density distributions for the cases n = 1, 2 and 3.

Light with a wavelength of 5.0 · 10-7 m strikes a surface that requires 2.0 ev to eject an electron

Near the shore, winds tend to blow out toward the water at night. What drives this process?

Q. A particle is confined between rigid walls by a distance L.
(a) Show that the probability P that it will be found within a distance L/3 from one wall is given by
P=1/3[1-sin⁡〖2nπ/3〗/(2nπ/3)]
(b) Evaluate probability for (i) n=1, (ii) n=2, (iii) n=3