Consider an electron in a nanowire (approximated by a one-adimensional box) that goes from the state with n=5 to the state with n = 2. In doing so, it emits a photon with a frequency of 6.0 x 10^14 s^-1. Find the length of the wire in nm.

Q: True or false? For the hydrogen atom, (a) the allowed energy levels are E = (13.60 eV)/n2 and E …

A: We know energy in nth orbital is given as :  En=-Z2n213.6 eVwhere,n=0,1,2..Z= atomic number.

Q: Consider the electron of a Li²+ ion that undergoes a transition from a higher energy state n to its…

A: Given ,  ν0=5.464×1014 s-1

Q: Calculate the energy (in Joules) for light with the frequency of 3.1 X 10^4 Hz.

A: Given :  frequency = 3.1 X 104 Hz  To calculate : Energy (in Joules)

Q: Consider a photon with an energy of 7.51 x 10-19). Determine the wavelength of the photon (in units…

A: We have given that  Energy of photon = 7.51×10-19J To calculate the wavelength of photon we have to…

Q: An ampule of napthalene in hexane contains 5.00x10^-4 mol napthalene. The napthalene is excited with…

A: Given: 5.00 × 10-4 mol naphthalene in an ampule wavelength = 349 nm Energy emitted = 15.5 J…

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: What is the frequency of the photons emitted by hydrogen atoms when they undergo transitions from n…

A: Given that,  The photons emitted by hydrogen atoms undergoes transitions from energy levels n1 = 5…

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: What is the energy of a photon from the violet portioin of the rainbow if it has a frequency of 7.23…

A:

Q: Heated lithium atoms emit photons of light with an energy of 2.961 × 10−19 J. Calculate the…

A: Given: Energy 2.961x10-19 J The distance between consecutive troughs or peaks is said to be the…

Q: I calculated the energy of 1 mole of photons with a wavelength lambda of 625 nm to be 3.18 x 10-19…

A: In the study of physics and chemistry, understanding the relationship between the energy of photons…

Q: A Li2+ ion absorbs a photon with a wavelength of 2.09 ×× 102 nm.  Calculate the energy difference in…

A: We know that : ∆E = hv = hc/lambda ....(1)  Given that : wavelength = lambda = 2.09*10^2 nm =…

Q: Calculate the energy per mole of photons in kilojoules that has a frequency of 8.21 x 1012 sec-1 .

A: Since the frequency of each photon is given  And we know that the energy of photon is given by  E =…

Q: a single photon of which has an energy of 3.05x10-19 J. What is the wavelength of this light in…

A: According to Planck's law: Th energy of photon is directly proportional to its frequency.…

Q: How many photons at 660 nm must be absorbed to melt 5.0 x10^2 g of ice? On average, how many H2O…

A: Heat is absorbed to melt ice to water.

Q: Electromagnetic radiation with a wavelength of 470 nm appears as blue light to the human eye.…

A: Given: wavelength = 470 nm Energy = 3.31×10-2 J

Q: Calculate the energy of one photon with a frequency of 5.09 x1014 s-1. What is the energy of a mole…

A:

Q: What is the energy in kJ of a mole of photons associated with red light of wavelength 7.00 × 102 nm?

A: The energy of any photon is related to wavelength as, => E = hcλ where E = energy of each photon…

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

A: From the concept of threshold frequency and wavelength and work function we get the answer

Q: The electron in a hydrogen atom absorbs a photon causing the electron to jump from the state n = 2…

A:

Q: Calculate the wavelength of the photon (in nm) emitted when the hydrogen atom undergoes a transition…

A:

Q: A highly excited atom of hydrogen makes a transition from the n = 10 to the n = 9 state and emits a…

A: First, the wavelength value is meters is determined by using following equation,

Q: What is the solution ? Physical Chemistry

A: Photon is the elementary particle  and it is quantum of  electromagnetic  field

Q: A liquid is exposed to infrared radiation with a wavelength of 3.14 x 10^-4 cm. Assume that all the…

A: Given : Wavelength of photon = 3.14 X 10-4 cm = 3.14 X 10-6 m                              (since 1…

Q: Calculate the wavelength (in nm) of light with energy 1.83×10−20 J per photon. For light of…

A: Wavelength can be calculated using the given equation:

Q: Calculate the wavelength of the photon that would be released during a transition from n = 3 to n =…

A:

Q: The iodine molecule can be photodissociated (broken apart with light) into iodine atoms in the gas…

A: Minimum energy of a photon that needs to break one iodine molecule can be calculated using…

Q: An electron in a one-dimensional box of width 6.0 Å undergoes a transition from an initial state…

A: Given, Box length, a =6.0 A0=6.0×10-10m initial state ,n1=2 final state, =n2 wavelength of absorbed…

Q: An argon ion laser puts out 6.0 W of continuous power at a wavelength of 532 nm. The diameter of the…

A: Energy of the photons with wavelength = 532 nm is given as:

Q: Calculate the maximum wavelength, Amax, of electromagnetic radiation that could eject electrons from…

A: Work function = 8.76 x 10-19 J Speed = 4.14 X 106 m/s

Q: Determine the energy of a photon with a wavelength of 347 nm. (h = 6.626 x 10¯34 J•s and c = 3.00 ×…

A: Given, wavelength = 347 nm = 347 x10-9 m 1 m = 109  nm C= 3.00 x108 m/s h = 6.626 x10-34  J.s

Q: If a mole photons of light has 2.39 J mol^-1 energy, what is its wavelength and description?

A: Given that : Energy of the photon = 2.39 J/mol Thus, for 1 mole, Energy=2.39 Jmol×1 mol=2.39 J

Q: The retina of a human eye can detect light when radiant energy incident on it is at least  4.0  ×…

A: Energy of the electromagnetic radiation   (Ep) = hf Energy of the photon of blue light (Ep) = hc/ λ…

Q: Calculate the number of photons of light with a wavelength of 3000 pm that provide 2 J of energy.

A: It is required to calculate the total number of photons having a total energy of 2 J. Energy of one…

Q: Calculate the wavelength (in nanometers) of light with frequency 3.45 × 1014 s–1.

A:

Q: An electron in an atom is known to be in a state with magnetic quantum number m₂=-2. What is the…

A:

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: Heated lithium atoms emit photons of light with an energy of 2.961 × 10−19 J. Calculate the…

A:

Q: The blue color in some fireworks occurs when copper(I) chloride is heated toapproximately 1500 K and…

A:

Q: A photon of light produced by a surgical laser has an energy of 3.027 × 10−19 J. Calculate the…

A: Given that,

Q: ompare the wavelengths of an electron(mass = 9.11×10−31 kg) and a proton(mass = 1.67×10−27 kg), each…

A: The wavelength and momentum (mass × speed) are related to each other as λ = h/mv where h is Planck’s…

Q: A Be3+ ion emits a photon with a frequency of 7.31*10^15 Hz. If the energy of the initial state of…

A:

Q: Pieces of potassium (Φ  = 3.68 ×× 10–19 J) and sodium (Φ  = 4.41 ×× 10–19 J) metal are exposed to…

A:

Q: Titanium (Φ = 6.94 ×× 10–19 J) and silicon (Φ = 7.77 ×× 10–19 J) surfaces are irradiated with UV…

A: Titanium (Φ = 6.94 ×× 10–19 J)  Silicon (Φ = 7.77 ×× 10–19 J) λ = 243 nm = 243 x 10-9 m

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.