The work function of metal is the minimum energy required to produce photoelectric effect on that metal, and the work function for potassium metal is 2.30 eV (where 1 eV = 1.60 x 10–19 J). (a) What is the minimum energy in Joules required to eject an electron from potassium metal? (b) What is the longest wavelength of light, in nanometers (nm), capable of producing photoelectric effect on potassium metal? (c) Determine whether a photon of green light with  = 512 nm would have sufficient energy to eject an electron from a potassium metal. (d) If an electron is ejected, determine the kinetic energy and the speed of the ejected electron, which has a mass of 9.11 x 10–31 kg. . (Planck’s constant, h = 6.626 x 10–34 J∙s.; speed of light, c = 3.00 x 108 m/s; 1 J = 1 kg∙m2/s2)

Q: Two of the three electrons in a lithium atom have quantum numbers of n = 1, l = 0, ml = 0, ms = +1/2…

A: A set of four quantum numbers namely principal quantum number (n), Azimuthal quantum number (l) ,…

Q: (b) What is the maximum number of electrons in an atom that can have the following set of quantum…

A: In these questions one should have knowledge of atomic structure.      Note: Dear student, according…

Q: (a) Using Equation 6.5, calculate the energy of an electronin the hydrogen atom when n = 2 and when…

A: Equation 6.5 has not been provided, so the question will be solved with the general expression.

Q: Calculate the wavelength (in nanometers) of light with energy 1.89 × 10–20 J per photon. (b) For…

A: For part (a) we have to find the wavelength in nanometers of light with energy 1.89 × 10–20 J per…

Q: (a) Give the complete electron configuration (1s2 2s2 2p...)     of aluminum in the ground state.(b)…

A: (a) As per Aufbau rule, electrons are filled in lower energy orbitals that are closer to nucleus…

Q: In Einstein's photoelectric experiment, the kinetic energy (K.E.) of an electron displaced from a…

A: Concept: The energy of the photon is equal to the sum of the thresold energy and kinetic energy of…

Q: Consider a transition of the electron in the hydrogen atom fromn = 4 to n = 9. (a) Is ΔE for this…

A: (a) In the given problem, the electron transits from n=4 to n=9. Here initial level ni=4 and final…

Q: Consider the following energy levels of a hypothetical atom: E4 −1.91 × 10−19 J E3 −6.11 × 10−19 J…

A: The wavelength of the photon can be calculated as, ∆E = hcλh: Planck's constantc: speed of lightλ:…

Q: A) Calculate the maximum wavelength,λmax, of electromagnetic radiation that could eject electrons…

A: Q-A) Calculate the maximum wavelength,λmax, of electromagnetic radiation that could eject electrons…

Q: In Einstein's photoelectric experiment, the kinetic energy of an electron displaced from a metal by…

A: It states that when a radiation of sufficient frequency strikes a metal surface, ejection of…

Q: (a) Calculate the Bohr radius of an electron in the n=3 orbitof a hydrogen atom. (b) What is the…

A: a.

Q: In his explanation of the threshold frequency in the photo-electric effect, Einstein reasoned that…

A: Introduction :  Threshold frequency is the minimum amount of energy required to eject an electron…

Q: Consider the following energy levels of a hypothetical atom: E4 −2.31 × 10−19 J E3 −7.11× 10−19 J E2…

A:

Q: In an atom, what is the maximum number of electrons that can have the following quantum numbers? (a)…

A: a) When, n = 4, ms = -1/2The Number of electrons is 2n2, where n is the quantum number. So for n=4,…

Q: Horticulturists know that, for many plants, leaf color dependson how brightly lit the growing area…

A: The concentration of the chlorophyll is proportional to the absorbance. The capacity of any…

Q: (a) Calculate the energy of a single photon of light with a frequency of 6.38×108 s-¹. Energy = J…

A: Given,  The frequency of a light is 6.38 × 108 s-1  The energy of a single photon is:

Q: (a) Calculate the energy of a single photon of light with a frequency of 6.63x10¹1 s-¹. Energy = J…

A:

Q: Highly excited atoms have electrons with large principal quantum numbers. Such Rydberg atoms have…

A: a) The energy level for an atom is given by the expression is as follows, The difference in energy…

Q: What is the wavelength λ of the photon that has been released in Part B? ΔE =  −2.04×10−18 J…

A: The relation between energy and wavelength of a radiation is given by Planck-Einstein’s relation,…

Q: (b) What is the maximum number of electrons in an atom that can have the following set of quantum…

A: By making orbital diagram from quantum number we can solve this problem.

Q: Some of the energy levels of a mercury atom are shown in the figure above. (i) Calculate the…

A: An energy level diagram is more useful and easier to work with than quantum numbers in the quantum…

Q: An electron acquires a kinetic energy of 2.25 eV (electron-volt). What is the velocity (speed ) of…

A: a. The kinetic energy of electron: =2.25 eV=2.25×1.6×10-19 J= 3.6×10-19 J

Q: The blue solution formed when an alka li metal dissolves in liquid ammonia consists of the metal…

A:

Q: A baseball pitcher’s fastballs have been clocked at about 100 mph. (a) Calculate the wavelength of a…

A: Given velocity = 100 mph

Q: (d) (i) Give names of the four quantum numbers for an electron in an atom: (ii) Give a list of the…

A: 1- Principal quantum number 2-Angular Quantum Number 3-Magnetic Quantum number 4-spin quantum number…

Q: (b) What is the de Broglie wavelength (in m) of a neutron moving at a speed of 2.49 ✕ 108 m/s?

A:

Q: An electron was ejected from a sodium metal surface with 6.8 x 10¹⁴ s⁻¹ radiation. What is the…

A: The given work function ( Wo ) = 2.50 x 10-19 J The formula which is used to determine work function…

Q: In Einstein's photoelectric experiment, the kinetic energy (K.E.) of an electron displaced from a…

A: When we energy of Photon to metal then electron which have minimum energy tha is equal to threshold…

Q: (a) A hydrogen atom goes from the n = 5 state to the n = 2 state. Is this an absorption or an…

A: Transition from one state to another state is possible by absorption or emission of energy.

Q: Consider the following energy levels of a hypothetical atom: E4 −2.21×10−19 J E3 −7.51×10−19 J E2…

A: Energy levels of a hypothetical atom are :E4 = - 2.21 × 10-19 JE3 = - 7.51 × 10-19 JE2 = - 1.35 ×…

Q: A radio wave has a frequency of 20.0 MHz. (a) What is the speed of this electromagnetic radiation in…

A:

Q: 3. It is observed experimentally that when light of any wavelength longer than 455 nm shines on a…

A:

Q: 5) (a) For the Balmer series in the hydrogen emission spectra, which transition has the longest…

A: Wavelength is inversely proportional to frequency.  Therefore, longest wavelength means shortest…

Q: In Einstein's photoelectric experiment, the kinetic energy (K.E.) of an electron displaced from a…

A: Given : Threshold energy of lead = 6.81 X 10-19 J Wavelength of light used = 74.7 nm = 74.7 X 10-9 m…

Q: Gold has a work function, Φ, of 5.47 ev. If a sample of gold is bombarded with 191 nm photons, what…

A: The formula of Kinetic energy, KEmax=hϑ-ϕ12mv2=hcλ-φThus, velocity will bev2=2(hc-λφ)mλv=2(hc-λφ)mλ…

Q: (a) Calculate the energy of a single photon of light with a frequency of 7.83×105 s1. Energy = J (b)…

A:

Quantum Chemistry

Quantum chemistry deals with the properties of chemical systems and their reactions. The branch of chemistry which is more concerned with quantum chemistry is physical chemistry. It is a more sophisticated field of theoretical physics which is concerned towards the application of physical concepts towards various chemical aspects such as, formation of atoms, chemical structure descriptions, chemical bond strength, hybridization, conjugation etc. Quantum chemistry mainly studies the various states i.e., ground state, excited state, transition states of the individual atoms or molecules taking place during any chemical reaction. The laws of motion explained by various scientists, which are termed as “classical mechanics” were not acceptable in terms of electrons, protons, atoms, light etc. Thus, a new theory named “quantum mechanics” emerged to understand the basic framework of various atomic and subatomic particles.