Calculate the ionization energy of helium using the variational principle. The ionization energy is the difference between the ground state of neutral He (with two electrons), and the ground state of Het (with one electron removed). The ground state of neutral He we will calculate in class to be approximately -75 eV using the variational method.

Q: A lead atom loses an electron from the L-shell(72.2 KeV). An electron from M-shell (84.1KeV)…

A: Given Energy of electron in L-shell (E1) =72.2 KeV Energy of electron in M-shell (E2) =84.1 KeV

Q: For hydrogen, find the frequency of light emitted in the transition from the 138th orbit to the…

A: Now the wavelength corresponds to the transition from 138th to 134th lineHence the frequency

Q: A hydrogen atom in its n = 4 state is ionized by absorbing a 268 nm photon. If all the excess energy…

A: Kinetic energy of the electron in the nth orbit

Q: Determine the probability of finding the electron at any distance farther than 2.13a, from the…

A:

Q: Determine the probability of finding the electron at any distance farther than 2.70a, from the…

A: The wave function of a hydrogen atom in the 1s orbital is given by   Where ao = Bohr radius r =…

Q: Answer the following. (a) Write out the electronic configuration of the ground state for nitrogen(Z…

A: To find the electronic configuration for the ground state for nitrogen (Z=7)

Q: Consider the values of s and ms for an electron.   Write all possible values of s for an electron.

A: s: spin quantum number. electron is spin 1/2 particle. thus , value of s for electron is 1/2 s=1/2

Q: A hydrogen atom in its ground state actually has two possible, closely spaced energy levels because…

A: Given data, Wavelength associated with photon = 21 cm

Q: For an electron in the 1s state of hydrogen, what is the probability of being in a spherical shell…

A:

Q: Why the collector of BJT is made ?bigger than emitter

A: BJT is bipolar junction transistor, here electrons and holes are the charge carriers. It uses two…

Q: Calculate the wavelength of a photon emitted when singly ionized helium (He+) transitions from the n…

A:

Q: If an electron makes a transition between two energy levels from n=1 to n=3. Calculate the energy…

A: Energy energy tells us how much an electron is stable. The higher the energy the electron possesses,…

Q: For the hydrogen atom, which series describes electron transitions to the N=1 orbit, the lowest…

A: Answer:  W) Lyman Series

Q: Calculate the radius and energy for doubly ionized Lithium for n=3 state using Bohr atomic model.

A: Given: n=3

Q: Calculate the proton separation energy for Neon.

A: Separation energy is the amount of energy that is required to remove a nucleon from a nucleus.…

Q: Suppose that you have 1 mol of hydrogen atoms in the ground state. If the atoms are irradiated with…

A: Given, Total number of mole of hydrogen atom is, N = 1 Then total number of hydrogen atom in 1 mole…

Q: .A neutral sodium atom has an ionization potential of 5.1 eV from its ground state. (1) What is the…

A: For a neutral sodium atom - Ionization potential= 5.1 eV

Q: 23. If potential energy of an electron in a hydrogen atom in first excited state is taken to be…

A:

Q: Assuming that the radius of the circular path of the electron is 4.9cm when voltage is 100v and coil…

A: Given: The voltage applied in the coil is V = 100 V The mass of the electron is m = 9.1 x 10-31 kg…

Q: Calculate (a) the wavelength and (b) the line of the Balmer series for hydrogen. frequency of the HB

A:

Q: Below is an energy level scheme of a hypothetical one-electron element Mathematicum. The potential…

A: a) 1st excited state of the atom, n=2 n=2 corresponds to -10 eV of energy therefore binding energy…

Q: Imagine that the wavefunction for an electron in a hydrogen atom is equal to the n = 7 en- ergy…

A: The energy of the electron at nth state is given byEn=(−13.6Z2)/n2 evfor hydrogen atom Z = 1Thus…

Q: Answer quickly Q. Calculatethe wavelength in nm of electrons which have been accelerated from rest…

A:

Q: two metals A and B have work functions 8 eV and 12 eV respectively. Which metal has a lower cut-off…

A:

Q: -hbar/2

A:

Q: The most probable radius for an electron in the 1s wavefunction is called the Bohr radius (a,) and…

A: Radius of atom.

Q: Calculate the de Broglie wavelength of a 4.8 MeV particle emitted from an atomic nucleus whose…

A: The energy of the alpha particle is,The diameter of the atomic nucleus is The mass of the alpha…

Q: Calculate the potential energy of the electron in a hydrogen atom in the state n = 4, in eV.

A:

Q: Draw the crystal structure for the lattice vector below ā, = 4£ ā¸ = 4ŷ and a = 32

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Consider an electron in a one-dimensional box of length 0.16 nm. (a) Calculate the energy difference…

A: Given data: length of box with electron ,l1=0.16 nm length of box with nitrogen molecule ,l2=19 cm

Q: Show that the longest wavelength of the Balmer series and the longest two wavelengths of the Lyman…

A: For hydrogen emissions, certain pairs of frequencies add up and give the frequency of other emission…

Q: Using Hg gas in the Franck-Hertz experiment, approximately what range of voltages would you expect…

A: Given: To explain the range of the voltages in the first peak as,