A relatively long-lived excited state of an atom has a lifetime of 3.00 ms. What is the minimum uncertainty in its energy?

Q: A laser produces light of wavelength 586 nm in an ultrashort pulse. What is the minimum duration of…

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Q: What is the smallest box in which you can confine an electron if you want to know for certain that…

A: According to the uncertainty principle, ∆x∆p=h2π   We know that, ∆x∆p≥h4π

Q: What is the second level energy of an electron (m=9.11x10-31kg) that is confined to a space of…

A: The second level energy of the electron. given, mass of electron(m)=9.1×10-31 kg Energy level(n)= 2…

Q: If the de Broglie wavelength of a particle is 1032 nm, how fast is the electron moving?

A: The expression for the speed of the moving electron,

Q: A measurement is made of a photon’s energy (from a laser) that results in an uncertainty in the…

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Q: An electron is moving with a speed of 5 x 10^6 m/s (± 2 x 10^-2 m/s). Using thisinformation,…

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Q: If an electron's position can be measured to a precision of 3.0 × 10¬8 m, how precisely can its…

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Q: What is the maximum speed of emitted photoelectrons if a beam of light of wavelength 200 nm is shone…

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Q: Determine the probability of an electron in the region of x = 0.490L and 0.510L in a box of length L…

A: It is given that an electron lies in a certain region.

Q: A laser produces light of wavelength 665 nm in an ultrashort pulse. What is the minimum duration of…

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Q: Suppose the minimum uncertainty in the position of a particle is equal to its de Broglie wavelength.…

A: Given: The average speed is 4.5x105 m/s.

Q: The ground-state energy of a harmonic oscillator is 5.60 eV. If the oscillator undergoes a…

A: The energy of the photon is, ∆E=hcλ                                     ...... (1) The ground state…

Q: An atom in an excited state temporarily stores energy. If the lifetime of this excited state is…

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Q: An electron in a one-dimensional box has ground-state energy 2.00 eV. What is the wavelength of the…

A: Given: The energy of electron in-ground energy state = 2 eV

Q: An electron is trapped within a sphere whose diameter is 5.40×10−155.40×10−15 m (about the size of…

A: The expression for the minimum uncertainty in electron’s momentum,

Q: An electron confined in a one-dimensional box emits a 200 nm photon in a quantum jump from n = 2 to…

A: The energy of nth state of a particle confined to a one-dimensional box of length L is given by;…

Q: An electron is located on a pinpoint having a diameter of 6.11 µm. What is the minimum uncertainty…

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Q: A proton confined in a one-dimensional box emits a 2.0 MeV gamma-ray photon in a quantum jump from n…

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Q: A relatively long-lived excited state of an atom has a lifetime of 2.75 ms. What is the minimum…

A: Given Data: The lifetime of an atom is, ∆t=2.75 ms   The expression for the Heisenberg uncertainty…

Q: If an electron is moving at 2m/s with an uncertainty of 10%, what is the minimum uncertainty in the…

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Q: What is the radius for an electron having total energy of -3eV in the third energy level?

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Q: An atom in an excited state temporarily stores energy. If the lifetime of this excited state is…

A: To determine: The minimum uncertainty in the energy of the atom in the excited state   Given: The…

Q: What is the length of a box in which the minimum energy of an electron is 3.0×10−18 J ? Express…

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Q: an electron is trapped within a sphere that has a diameter of 6*10^-15 what is the minimum…

A: According to the Heisenberg's uncertainty principle, ∆p=h4π∆x Here, ∆p is the uncertainty in the…

Q: What is the minimum uncertainty in the position of an electron? O h/2 h/47T O It depends on how well…

A: Heisenberg uncertainty principle is the mathematical way to find out the uncertainty in the position…

Q: What is the deBroglie wavelength of an electron after being accelerated through a potential…

A: Wavelength is given by formula,  λ=h2mE Here, h=6.625×10-34 is Plank's constant.  Apply the…

Q: An ultrashort pulse has a duration of 8.00 fs and produces light at a wavelength of 557 nm. What are…

A: We know the uncertainty relation between position and momentum given by ∆E.∆t >_ h/4π For minimum…

Q: If the position of an electron is within the 10 pm interval, what is the uncertainty of the…

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Q: What is the length of a one-dimensional box in which an electron in the n = 1 state has the same…

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Q: What is the energy of an electron with wavelength 680 nm?

A: Form the De Broglie equation, the momentum of the electron can be calculated if its wavelength is…

Q: What is the wavelength of an electron of energy(a) 10 eV, (b) 100 eV, (c) 1.0 keV?

A: (a) The energy of the electron is 10 eV. Calculation: Write the expression for the wavelength of the…

Q: We are going to use Heisenberg's uncertainty principle to estimate the ground- state energy of…

A: Solution: given that ∆x = 0.0529to find the ∆p

Q: What is the length of a box in which the minimum energy of an electron is 1.5 x 10-18 J?

A: The energy of a particle in the box is given by, En=n2h28mL2

Q: A certain atom has an energy level 3.60 eV above the ground state. When excited to this state, atom…

A: Using Heisenberg's uncertainty relation, ∆E∆t≥ℏ

Q: How long will the wave packet of a 10 g object, initially confined to 1 mm, take to its size?…

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Q: A laser produces light of wavelength 725 nm in an ultrashort pulse. What is the minimum duration of…

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Q: Estimate the lifetime of a state that gives rise to a line of width (a) 0.10 cm-1, (b) 1.0 cm-1, (c)…

A: The expression for the lifetime of a state is given as follows: t=h2πdE................(1) Here, h…

Q: for the electron Find the momentum of the crystal for the electron if you know that its wavelength…

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Blackbody

Q.5 A blackbody radiates how much energy when the temperature of the body is elevated?