Find the uncertainty in frequency due to lifetime boradening using the Breit-Wigner formula if the lifetime of an excitation in a Cd/Se quantum dot is 25ns and it emits light at a wavelength of 550nm when it decays.

Q: Suppose a laser pulse has an average duration of 5.00 femtoseconds and an average energy of 1.81 eV,…

A: Given : Average duration of the pulse, Δt = 5fs Average energy, E = 1.81 ev Uncertainty in energy,…

Q: (1) A particle of mass m in the potential V(x) = \frac Λ {1}{2}m\omega ^{2}x^{2} has the initial…

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Q: Consider a particle of mass m and charge q in a one-dimensional harmonic potential of frequency w.…

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Q: Assuming the operating frequency of 8085 as 2 MHz, Find the number of T states and the value of…

A: f= 2 MHz t=11.9915 msec

Q: Calculate the binding energy in eV of electrons in aluminum, if the longest-wavelength photon that…

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Q: What fraction of 5-MeV - particles will be scattered through angles greater than 8° from a gold foil…

A: Given: The value of gold foil is Z = 79, density=19.3 g/cm3

Q: a) What are the cherenkov angles for electrons and pions of 1000 MeV/c in a medium with n =1.4? b)…

A: Given:-  Electrons and pions of 1000 MeV/c in a medium with n =1. Find:-  a) What are the Cherenkov…

Q: Imagine another universe in which the value of Planck’s con- stant is 0.0663 J  s, but in which the…

A: Part-a Given: The value of the Planck's constant in the new universe h = 0.0663 Js. The mass of…

Q: (a)If the position of a chlorine iron ina membrane is measured to an accuracy of 0.95um, what is its…

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Q: Rudolf Mössbauer discovered in 1957 that transitions from an excited nuclear state occur with…

A: Given: A transition like that in 191Ir from the 129- keV excited state to the ground state has a…

Q: Calculate the resonance frequency and the corresponding wavelength for an electron in a magnetic…

A: The applied magnetic field, B=0.330 T The energy difference associated with a transition is…

Q: A nucleus emits a gamma ray of energy 1.2 MeV from a state that has a lifetime of 2.1 ns. What is…

A: In quantum mechanics, there are pairs of variables that are complementary or canonically conjugate.…

Q: A muonic atom consists of a muon (mass m = 106 MeV/c2 and charge q = -e) in place of an electron.…

A: The reduced mass of muon when it is in place of an electron is μ=mMm+M m is the rest mass of the…

Q: What is the energy difference between a spin-up state and spin-down state for an electron in an s…

A: The potential energy associated with the interaction between the magnetic moment and the external…

Q: (a) The lifetime of a highly unstable nucleus is 10-12 s. What is the smallest uncertainty (in ev)…

A: NOTE :- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: (a) For the 1s wavefunction, calculate the probability for the electron to be found within the…

A: (a) 1s wave function is given as,ψ100(r)=1πa03e-r/a0Probablity of finding electron within the…

Q: an atom(not hydrogen atom) absorbs a photon whose associated wavelength is lambaabs and immediately…

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Q: How does the uncertainty principle apply to a known stable atomic system that apparently has an infi…

A: From Heisenberg's uncertainty principle we have, ∆E.∆t≥h4π where  ∆E is the uncertainty in energy ∆t…

Q: A laser produces light of w duration of the pulse if the

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Q: In an experiment done by scattering 5.5-MeV a particles from a thin gold foil, students find that…

A: Solution: The number of the scattered alpha particles of kinetic energy E has the following…

Q: Calculate the number of qu'antum states in intrinsic gallium arsenide for a hole energies between Ev…

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Q: Consider the wave function phi(x) = A sin(kx) where k = 2pi/lambda and A is a real constant. (a)…

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Q: energy of the photopeak falling at channel 3345?

A: From the relationship given above  Energy = a* channel + constant.... E2 = 1332 keV  E1 = 1172 keV…

Q: The decay energy of a short-lived nuclear excited state has an uncertainty of 2.1 eV due to its…

A: According to heisenberg's uncertainty principle∆E×∆t ≥ h4πWhere∆E=uncertainty in energy∆t=time…

Q: (4.16) Show that the de Broglie wavelength AdeB of a particle of mass m with thermal kinetic energy…

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Q: Using the Thomson model, estimate the average scatter- ing angle when alpha particles (z = 2) with…

A: As per Thomson's model of the atom, an atom is a positive sphere with electrons embedded in it.…

Q: (a) The mass of a neutron, mn = 10^-27 kg is trapped inside a nucleus of a cubicalbox of size 10-14…

A: Given Data for (a)  The mass of neutron is 10-27 kg and size of cubical box 10-14 m  for (b) radius…

Q: normalise the ground state of the quantum harmonic oscillator that you found in by calculating the…

A: The objective of the question is to find the normalization constant 'C' for the ground state of a…

Q: A particle has a lifetime of 1 × 10–23s. Calculate the typical uncertainty in the measurement of its…

A: Lifetime of the particle is t = 10-23 s

Q: An electron is trapped in a one-dimensional region of width 0,05 nm. Find the three smallest…

A: Energy for a particle confined in a one dimensional well is- En=n2π2ℏ22mL2    =n2E0where…

Q: At what speed must a beam of neutrons travel so that its associated wavelength is 2 Amstrongs?

A: For neutrons- Wavelength,  = 2×10-10 m Velocity = v

Q: (a) What is the energy in eV of a y ray of frequency 3.00 X 1020 Hz? (b) How many tightly bound…

A: Given: The frequency of the gamma-ray is 3.00×1020 Hz.

Q: Find the minimum wavelength for x- ray with a) 35 kV and b) 45kV voltages.

A: a) V =35kV =35000V The minimum wavelength, λmin=hceV where h is the Planck's constant =6.626×10-34…