Question

In: Physics

For hydrogen, an ionized helium ion He+, and a doubly ionized lithium ion Li2+, calculate: (a)...

For hydrogen, an ionized helium ion He+, and a doubly ionized lithium ion Li2+, calculate:

(a) The radii of the first and second Bohr orbits and the velocities of electrons in these orbits.

(b) The binding energy of an electron in their ground states.

(c) The first excitation energy and the wavelength of their resonance lines.

Solutions

Expert Solution


Related Solutions

Doubly ionized lithium Li2+ (Z = 3) and triply ionized beryllium Be3+ (Z = 4) each...
Doubly ionized lithium Li2+ (Z = 3) and triply ionized beryllium Be3+ (Z = 4) each emit a line spectrum. For a certain series of lines in the lithium spectrum, the shortest wavelength is 40.5 nm. For the same series of lines in the beryllium spectrum, what is the shortest wavelength?
LI2+ ion (a) Calculate energy (in Joules) of the 2px orbital of the ion (b) Calculate...
LI2+ ion (a) Calculate energy (in Joules) of the 2px orbital of the ion (b) Calculate energy (in Joules) and Wavelength (in nm) of the transition from the 4s orbital to the 2pz orbital of the ion (c) Calculate ionization energy of the ion
The He+ ion contains only one electron and is therefore a hydrogen-like ion. Calculate the wavelengths...
The He+ ion contains only one electron and is therefore a hydrogen-like ion. Calculate the wavelengths of the first four transitions in the Balmer series of the He+ ion. List your answers in increasing transition order by entering the wavelength that corresponds to the first transition on the left. (The Rydberg constant for He is 4.39 × 107 m−1 and the Rydberg constant for H is 1.097 × 107 m−1) Calculate these wavelengths for the same transitions in an H...
A helium ion with a single electron (denoted He+) is in an excited state with radius...
A helium ion with a single electron (denoted He+) is in an excited state with radius the same as that of the ground state of hydrogen. (a) What is n for the He1+ ion? (b) How much energy in eV is needed to ionize the ion from this excited state? eV
The Bohr model can be applied to singly ionized helium He+ (Z=2). Using the model, consider...
The Bohr model can be applied to singly ionized helium He+ (Z=2). Using the model, consider the series of lines that is produced when the electron makes a transistion from higher energy levels into the nf = 4 level. Some of the lines in the series lie in the visible region of the spectrum (380 nm - 750 nm). What are the (a) minimum value and (b) maximum value of ni for the energy levels from which the electron makes...
Consider a helium ion He+. a) Find the ratio between the ionization energy of the H...
Consider a helium ion He+. a) Find the ratio between the ionization energy of the H atom and and the He^+ ion. b) How does the Bohr radius, we defined for H atom, differ for He^+ ? Using the Bohr radius of He^+ and the representation of the ground state wave function for the H atom, write the ground state wave function for the He^+. c) Find the average distance of a 1s electron from a nucleus in He+ ion....
A doubly‑ionized carbon atom (with charge +2e) is located at the origin of the x‑axis, and...
A doubly‑ionized carbon atom (with charge +2e) is located at the origin of the x‑axis, and an electron (with charge −e)is placed at x=8.76 cm.There is one location along the x‑axis at which the electric field is zero. Give the x‑coordinate of this point in centimeters. x‑coordinate: cm Assume that the potential is defined to be zero infinitely far away from the particles. Unlike the electric field, the potential will be zero at multiple points near the particles. Find the...
6. Using the ionization Constants in the Appendices, calculate the hydrogen ion concentration and the percent...
6. Using the ionization Constants in the Appendices, calculate the hydrogen ion concentration and the percent ionization for 0.0092 M HClO
1. A doubly ionized particle of 17O (m = 2.822 x 10-26 kg) moves at a...
1. A doubly ionized particle of 17O (m = 2.822 x 10-26 kg) moves at a speed of 5.680 x 105 m/s through an 8.750 mT magnetic field, experiencing an acceleration of 4.370 x 1010 m/s2. (a) What is the magnitude of the centripetal force acting on the particle? (b) What is the component of the velocity that moves the particle in a circular path? (c) What is the angle that the velocity vector makes with the magnetic field vector?...
Use the Bohr model to calculate the radius, in angstroms, of an He+ ion with an...
Use the Bohr model to calculate the radius, in angstroms, of an He+ ion with an electron in the n=4 state. r= Å Calculate the energy, in joules, of an He+ ion with an electron in the n=4 state. E= J How much energy would be required to completely remove the electrons from 1.48 mol of He+ ions in the n=4 state? energy to remove electrons: J What wavelength of light would be emitted in a transition from the n=4n=4...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT