Questions from Modern Physics

Q: An electron in a long, organic molecule used in a dye

An electron in a long, organic molecule used in a dye laser behaves approximately like a particle in a box with width 4.18 nm. What is the wavelength of the photon emitted when the electron undergoes...

Q: Consider a particle in a box with rigid walls at x =

Consider a particle in a box with rigid walls at x = 0 and x = L. Let the particle be in the ground level. Calculate the probability |ψ|2dx that the particle will be found in the interval x to x + dx...

Q: Repeat Problem 40.48 for a particle in the first excited

Repeat Problem 40.48 for a particle in the first excited level. From Problem 40.48: Consider a particle in a box with rigid walls at x = 0 and x = L. Let the particle be in the ground level. Calcula...

Q: A particle is confined within a box with perfectly rigid walls at

A particle is confined within a box with perfectly rigid walls at x = 0 and x = L. Although the magnitude of the instantaneous force exerted on the particle by the walls is infinite and the time over...

Q: What is the probability of finding a particle in a box of

What is the probability of finding a particle in a box of length L in the region between x = L/4 and x = 3L/4 when the particle is in a. the ground level and b. the first excited level? (Hint: Integ...

Q: A small amount of magnetic-field splitting of spectral lines occurs

A small amount of magnetic-field splitting of spectral lines occurs even when the atoms are not in a magnetic field. What causes this?

Q: The penetration distance η in a finite potential well is the distance

The penetration distance η in a finite potential well is the distance at which the wave function has decreased to 1/e of the wave function at the classical turning point: The penetrati...

Q: A fellow student proposes that a possible wave function for a free

A fellow student proposes that a possible wave function for a free particle with mass m (one for which the potential energy function U(x) is zero) is where κ is a positive constant. a....

Q: An electron with initial kinetic energy 5.5 eV encounters a

An electron with initial kinetic energy 5.5 eV encounters a square potential barrier of height 10.0 eV. What is the width of the barrier if the electron has a 0.50% probability of tunneling through th...

Q: a. For the finite potential well of Fig. 40.

a. For the finite potential well of Fig. 40.13, what relationships among the constants A and B of Eq. (40.38) and C and D of Eq. (40.40) are obtained by applying the boundary condition that c be conti...