Calculate the energy of a photon and the energy per mole of photons for radiation of wavelength (i) 600 nm (red), (ii) 550 nm (yellow), (iii) 400 nm (blue).

Q: (a) What is the relationship between the wavelength and thefrequency of radiant energy?

A: Electromagnetic spectrum involves different radiations from the lowest to the highest frequency…

Q: Identify the spectral regions of the radiation (radiance). Explain which physical phenomena are…

A: Electromagnetic radiation can be expressed in terms of energy, wavelength, or frequency. Frequency…

Q: To what speed must a proton be accelerated for it to have a de Broglie wavelength of 3.0 cm?

A:

Q: How many photons are produced in a laser pulse of 0.576 J at 605 nm?

A: Since wavelength is given = 605 nm = λ Hence energy of each photon is given by  E = hc/λ where E =…

Q: List all possible values of the magnetic quantum number m, for a 1s electron. = 0,0.... X Ś ?

A: We are to write possible values of magnetic quantum number for 1s electron.

Q: Calculate the energy of the quantum involved in the excitation of (i) an electronic oscillation of…

A: Quantum energy involved in the excitation : i) An electron have oscillation period =2.50 fs.  Then…

Q: Calculate the energy, in kJ, for a mole of photons if 1024nm light

A: Energy of a photon is given by E = hc/λ where E = energy in J h = Planks constant = 6.626 X 10-34 Js…

Q: Calculate the average kinetic energy of ejected electrons in units of kJ / mol when a light with a…

A: There is very small correction in the question that is work function is - 435 kJ/mole not the…

Q: Calculate the energy (in J) of a single photon of microwave which as a wavelength of 1.25 x 10 m.…

A: Energy of a photon is given by :  E = hc/λ  h = 6.626 x 10-34 J-sec  c = 3 x 108 m/sec  λ = 1.25 x…

Q: An electron in a hydrogen atom relaxes to a lower energy level, emitting light of 397 nm. What is…

A:

Q: For light with a wavelength of 12.5 nm, determine the energy of light for 0.1 mole of photons in kJ.…

A: Given: Wavelength = 12.5nm Photon moles = 0.1 mole First calculate the value of ν.…

Q: Choose the transition (in a hydrogen atom) below that represents the absorption of the shortest…

A: When any electron jumps from lower energy level to higher energy level, it absorbs energy.  This…

Q: Perform the following conversion. Show work and units.  4.5 x 10^-15 J/photon to kJ/mole photons

A: Using conversion factors, we will convert J to KJ, then per photon to per mole photons

Q: What are natural line widths for atomic emission and absorption lines? About how broad are these…

A: Spectral lines are lines which help in identifying the atoms and molecules. These are a result of…

Q: The speed of a photon (c) depends on its wavelength (A)

A: Since we know that wavelength and speed of photons are related with each other as…

Q: List all possible values of the magnetic quantum number m, for a 2p electron. m, = ||

A: Magnetic quantum number: It tells about the energy levels present within a subshell. It is denoted…

Q: Calculate the energy of the quantum involved in the excitation of (i) an electronic oscillation of…

A: We will use the formula E=hv, where “h” and “v” are plancks constant and frequency respectively.

Q: 1. What determines the frequency and period of an oscillating mass?

A: As you didn't specify question number you need hence I'm answering first question only. If you need…

Q: Calculate the wavelength, in m, of electromagnetic radiation having a frequency of 1070 kHz.

A: The wavelength of electromagnetic radiation is mathematically expressed as: Where: , and represent…

Q: To what speed must an electron be accelerated for it to have a de Broglie wavelength of 3.0 cm?

A: De broglie wavelength is given by the formula :                            λ=hmvwhere λ is the…

Q: An excited electron in an Na atom emits radiation at a wavelength 589 nm and returns to the ground…

A: inherent width in the emission line 9.20 fm

Q: How many photons are produced in a laser pulse of 0.361 J at 653 nm?

A: Given, energy of laser pulse = 0.361 J Wavelength = 653 nm   1 nm = 10-9 m 653 nm = 653 x 10-9 m

Q: Calculate the freqwency of wavelength radiation with a of 495nm

A: Given that , Wavelength of radiation = 495 nm = 495 x 10-7 cm Speed of light = C = 3 x 1010 cm/sec

Q: An electronic system with 12 T-electrons (all of them in conjugation) was treated as a particle in a…

A: As given box has different lengths i.e. it is rectangular box, so nx and ny are different. So we…

Q: If the n=3 to 4 transition for a certain particle-in-a box system occurs at 4.00 x 10^13 s^-1, find…

A: Particle in a box describes the particle which is free to move in a small space. In this particle…

Q: when a sodium atom is deexcited from the first excited state to the ground state, it emits 9 Photon…

A:

Q: The width of a spectral line of wavelength 300 nm is measured as 0.01 nm. What is the average time…

A:

Q: 6. Two consecutive lines in the atomic spectrum of hydrogen have the wavenumbers V= 2.057 × 10° m1…

A: The wave length and wave number are reciprocal to each other. So by taking the reciprocal of given…

Q: How many moles of photons are in a pulse if the pulse has a wavelength of 600 nm and a total energy…

A:

Q: Suppose that photons of blue light (430 nm) are used to locate the position of a 2.80-g Ping-Pong…

A:

Q: The power of a red laser (2 = 630 nm) is 2.25 watts (abbreviated W, where 1 W = 1 J/s). How many…

A: We have to calculate the number of photons.

Q: Calculate the maximum frequency of an x-ray emission caused by electron travelling with 60000 eV of…

A: Given:kinetic energy of moving e- = 60000 eV to find:  Frequency of X-ray emitted , ϑ= ?we also know…

Q: If the n = 3 to 4 transition for a certain particle-in-a box system occurs at 4.00x1013 s-1 , find…

A: The given data contains, ν1=4.00×1013s-1n values are 4,3, 9 and 6.

Q: What is the minimum uncertainty in the position of a small particle if it has velocity of 40.0km/s…

A: Solution -

Q: b. An electron (m = 9.1 × 10–31 kg) is confined to a one-dimensional box of length 4.0 × 10–10 m.…

A: Given data: Mass of electron = 9.1 x 10-31 kg Length of box = 4 x 10-10 m  Formula used: E=n2h28mL2…

Q: It can be shown that the maximum in the wavelength distribution for blackbody radiation can be…

A: Given: To find the smallest temperature that would have its value of λmax in the visible range.

Q: A laser pulse with a wavelength of 535 nm contains 4.85 m.J of energy. How many photons are in the…

A: Here, we need to calculate the number of protons from the given data.  According to the formula, E =…

Q: The power of a red laser (λ = 630 nm) is 4.00 watts (abbreviated W, where 1 W = 1 J/s). How many…

A: We have to predict the number of photons.

Q: The temperature of the Sun’s surface is approximately 5800 K. On the assumption that the human eye…

A: Electromagnetic spectrum involves different radiations from the lowest to the highest frequency…

Q: Explain the origin of quantization from Max Planck and Einstein. Give necessary formulae

A:

Q: The power of a red laser (λ = 630 nm) is 3.25 watts (abbreviated W, where 1 W = 1 J/s). How many…

A:

Q: How many values are there for the magnetic quantum number when the value of the angular momentum…

A: The magnetic quantum number is given as ml and the angular momentum quantum number is given as l.

Q: How fast would a particle of mass 1.0 g need to travel to have the same linear momentum as a photon…

A: According to De-Broglie wavelength is given by, λ=hmv where h is the Plank's constant, m is the mass…

Q: What is the lowest possible value of the angular momentum quantum number (l) when the magnetic…

A: Value of magnetic quantum number depends on the value of azimuthal quantum number (l).

Q: Calculate the energy of a mole (einstein) of photons with wavelength 485.4 nm.

A: The energy relationship for photon is given below.

Q: Calculate the wavelength (in nm) of the lowest energy transition of the Lymanseries in the atomic…

A: To determine the Wavelength for the lowest energy transition of the Lyman series.

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.