Protons are placed in a 2.30 T magnetic field that points in the positive z-direction. (a) What is the energy difference between states with the z-component of proton spin angular momentum parallel and antiparallel to the field? (b) A proton can make a transition from one of these states to the other by emitting or absorbing a photon with the appropriate energy. Find the frequency and wavelength of such a photon.

Q: a) Calculate the magnetization of a free electron gas at low temperature using the Stoner collective…

A: Given information:  A free electron gas at low temperature using the Stoner collective model, with…

Q: Suppose a certain laser can provide 96 TW of power in 0.96 ns pulses at a wavelength of 0.33 μm. How…

A: Given: The power is P=96 TW, The time is t=0.96 ns. The expression for energy is: E=Pt

Q: While studying the spectrum of a gas cloud in space, an astronomer magnifies a spectral linet hat…

A: The spectral lines of an atomic transition split up when the transition occurs in the presence of an…

Q: Atomic spectra exist because electrons can only transition between well- defined energy levels, and…

A: its true.

Q: X rays with a wavelength of 73.0 pm are directed onto a gold foil and eject tightly bound electrons…

A:

Q: For a 5p electron in an external magnetic field of 4.70 ✕ 10−3 T, find the following. (a) the…

A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: A prototype laser weapon tested in 2010 used a laser with an infrared wavelength of 1.06 µm, because…

A:

Q: Calculate the binding energy in eV of electrons in aluminum, if the longest-wavelength photon that…

A:

Q: A hydrogen atom is excited from its ground state to the state with n = 4. (a) How much energy must…

A: Given, Initial State,ni=1Final State,nf=4 We have the expression to calculate the energy of the…

Q: A simple pendulum, which has been given a small displacement, will perform simple harmonic motion.…

A: We have to find ratio of two pendulum length.

Q: The equation for the energy of a K« x – ray is Eka = (10.2 eV)(Z – 1)². Explain where the 10.2 eV…

A: A Kα x ray line is produced when a high energy particle, possibly another electron, collides with an…

Q: Suppose that 4 are the limits to the values of for an electron in an atom. (a) How many different…

A: a) The different possible value of the electrons will be, The possible values of the electron’s  in…

Q: B) A Hydrogen atom initially in its third level, emitted a photon and ends down in its ground state.…

A:

Q: What is the energy difference between a spin-up state and spin-down state for an electron in an s…

A: The potential energy associated with the interaction between the magnetic moment and the external…

Q: What is the difference in the various Bohr radii rn for the hydrogen atom (a) between r1 and r2, (b)…

A: (a) The radius of nth orbit in the hydrogen atom is rn=n2a0 Here, a0 is the radius of the Bohr…

Q: A particle of charge q and mass m, moving with a constant speed v, perpendicular to a constant…

A: Given,

Q: Measurements made on the line spectrum emitted by a certain atom of intermediate Z show that the…

A: Given data, Ratio of energy differences between the second and third member of the multiplet = 3/5

Q: The half-value layer for Tc-99m photons in water is 4.6 cm. Since soft tissue has about the same…

A: Given Data: Half value layer =4.6cm To Find: What percent of the beam passes through 3cm of fat.

Q: In hydrogen atom the electron is making 6.65 x 105 rev/s around the nucleus of radius 0.53A°. The…

A: the circular motion of electron around the nucleus is equivalent to a current moving in circular…

Q: a) Consider that the first line of the Balmer series of the 1H spectrum is due to the transitions…

A: Balmer series describe about the spectral line emissions of the hydrogen atom. It is usually…

Q: Magnetic field B = 2.7 T. Find the energy of transition of the proton from the basic state to the…

A: We have a proton in a magnetic field B=2.7 T transitioning from ground to the first excited state.…

Q: A method of cancer treatment known as gamma knife radio- therapy uses multiple beams of gamma rays…

A: Given that: Eo=1.17 MeV=1.17×106×1.6×10-19 J=1.872×10-13 Jϕ=70°moc2=0.511 MeVmoc=0.511…

Q: What are the approximate energies (in keV) of the K and K x rays for scandium? Ka 6 × kev kev

A: Step 1:Step 2:Step 3:

Q: A laser that emits pulses of UV lasting 4.00 nsns has a beam diameter of 2.10 mmmm. If each burst…

A:

Q: Assume that the |+z) and |−z) states for an electron in a magnetic field are energy eigen- vectors…

A:

Q: What are the (a) lowest and (b) highest energies in eV available to the electron in a hydrogen atom?…

A: (a) Calculating the lowest energy of electron available in hydrogen atom:

Q: A sample of an element is placed in a magnetic field of B = 0.3 Tesla. What is the distance…

A: Write the expression for the Bohr magneton. Here, e represents the charge of an electron, h…

Q: An atom in a state with its orbital quantum number l = 1 decays to its ground state (with l = 0). A…

A: Step 1: Step 2: Step 3: Step 4:

Q: The current of a beam of electrons, each with a speed of 1.200*10^3 m/s, is 9.000 mA. At one point…

A: Given,

Q: The Ka x-ray line for any element arises because of atransition between the K shell (n = 1) and the…

A:

Q: The main equation we are using to measure the e/m ratio is: e 2V m p2 B? If the anode voltage V is…

A:

Q: What fraction of the electrons in copper have energies between 0.80 and1.0 of the maximum energy at…

A:

Q: For an electron in the atomic state n = 3,1 = 1, and me = 1, what is the magnitude of the orbital h…

A: Given that,  For an electron in the atomic state n = 3 , l = 1 and ml = 1

Q: Calculate the binding energy (work function) in eV units for electrons in a certain metal, if the…

A: Longest wavelength is λmax = 286 × 10-9 m

Q: (a) For a given value of the principal quantum number n for a hydrogen atom, how many values of the…

A:

Q: While studying the spectrum of a gas cloud in space, an astronomer magnifies a spectral linet hat…

A:

Q: A laser with a green light (510nm )source gives off 1.5 moles of photons every second. How much…

A: Given Wavelength of the light is λ=510 nm=510×10-9 m Number of photons gives off per second is…

Q: Calculate the ground state energy of a triply ionised beryllium atom, Be3+ (a beryllium atom with…

A: The ground state energy of hydrogen and other elements are related by for a given Z( atomic number)…

The Bohr model

Students often get confused between Rutherford’s model and Bohr model of an atom. They interpret the postulates of both these models to be the same, which is incorrect. Rutherford’s model differs from Bohr’s model in the following ways: