Questions from Modern Physics

Q: A proton with initial kinetic energy 50.0 eV encounters a

A proton with initial kinetic energy 50.0 eV encounters a barrier of height 70.0 eV. What is the width of the barrier if the probability of tunneling is 8.0 * 10-3? How does this compare with the barr...

Q: The wave function shown in Fig. 40.20 is nonzero

The wave function shown in Fig. 40.20 is nonzero for both x L. Does this mean that the particle splits into two parts when it strikes the barrier, with one part tunneling through the barrier and the...

Q: A wooden block with mass 0.250 kg is oscillating on

A wooden block with mass 0.250 kg is oscillating on the end of a spring that has force constant 110 N/m. Calculate the ground­level energy and the energy separation between adjacent levels. Express yo...

Q: Show that ψ(x) given by Eq. (40

Show that ψ(x) given by Eq. (40.47) is a solution to Eq. (40.44) with energy E0 = ħω/2. From Eq. (40.47) From Eq. (40.44)

Q: Chemists use infrared absorption spectra to identify chemicals in a sample.

Chemists use infrared absorption spectra to identify chemicals in a sample. In one sample, a chemist finds that light of wavelength 5.8 µm is absorbed when a molecule makes a transition from its groun...

Q: A harmonic oscillator absorbs a photon of wavelength 6.35 µm

A harmonic oscillator absorbs a photon of wavelength 6.35 µm when it undergoes a transition from the ground state to the first excited state. What is the ground­state energy, in electron volts, of the...

Q: The ground­state energy of a harmonic oscillator is 5.

The ground­state energy of a harmonic oscillator is 5.60 eV. If the oscillator undergoes a transition from its n = 3 to n = 2 level by emitting a photon, what is the wavelength of the photon?

Q: While undergoing a transition from the n = 1 to the n

While undergoing a transition from the n = 1 to the n = 2 energy level, a harmonic oscillator absorbs a photon of wavelength 6.50 µm. What is the wavelength of the absorbed photon when this oscillator...

Q: In Section 40.5 it is shown that for the ground

In Section 40.5 it is shown that for the ground level of a harmonic oscillator, ∆x ∆px = ħ/2. Do a similar analysis for an excited level that has quantum number n. How does the uncertainty product ∆x...

Q: For the ground­level harmonic oscillator wave function ψ(x

For the ground­level harmonic oscillator wave function ψ(x) given in Eq. (40.47), |ψ|2 has a maximum at x = 0. a. Compute the ratio of |ψ|2 at x = +A to |ψ|2 at x = 0, where A i...