A dust particle of 1.0 μm diameter and 10−15 kg mass is confined within a narrow box of 10.0 μm length. Planck’s constant is 6.626 × 10−34 J ∙ s. What is the range of possible velocities for this particle? What is the range of possible velocities for an electron confined to a region roughly the size of a hydrogen atom?

SOLVE PLEASE

) a) What temperature is required for a black body spectrum to peak in the X-ray band? (Assume that E = 1 keV). What is the frequency and wavelength of a 1 keV photon? b) What is one example of an astrophysical phenomenon that emits black body radiation that peaks near 1 keV? c) What temperature is required for a black body spectrum to peak in the gamma-ray band with E = 1 GeV? What is the frequency and wavelength of a 1 GeV photon? d) What is one example of an astrophysical phenomenon that emits black body radiation that peaks at 1 GeV?

: In class we did a problem where we saw that Planck’s law, which is given byI(λ, T) = 2πhc2λ5(ehc/λkbT − 1),at high wavelengths reduces to the classical predictionI(λ, T) = 2πckBTλ4.We did this by using the MacLaurin series for an exponential.1 + x +x22! +x33! +x44! + ...When we did this problem in class, we reasoned that,when the wavelength (λ) is large, the term hc/λkbTis small enough that any term (hc/λkbT)2 or (hc/λkbT)3 or any higher power is neglible. That’s how weshowed that, in the limit of large λ, Planck’s law reduces to the classical prediction. Now assume that wewant to make a slightly better approximation. We still assume that λ is large and therefore (hc/λkbT)3 and(hc/λkbT)4 and all higher powers are negligible, but now we want to work at the level of precision where(hc/λkbT)2is not negligible. What does Planck’s law reduce to in this case?

Explain why different elements produce different spectral absorption and emission lines.  Calculate the wavelength of a photon that has an energy of  4.96 eV. (Hint: h*c {Planck's constant * the speed of light }= 1240 eV*nm;) What type of radiation/light (from the electromagnetic spectrum) is the photon from the previous question?  Why is it that radio telescopes need to be so large or organized in arrays? this is all one question with different parts. Thank you.

What constraints does the uncertainty principle place on our knowledge of the world? To get a sense of scale, we’ll look at the uncertainty in speed for a confined electron and for a confined dust particle.a. What range of velocities might an electron have if confined toa 0.30-nm-wide region, about the size of an atom?b. A 1.0@mm@diameter dust particle (m ≈ 10-15 kg) is confined within a 5-μm-long box. Can we know with certainty if the particle is at rest? If not, within what range is its velocity likely to be found?

3.1. What is the de Broglie wavelength of an electron that has been accelerated through a potential difference of AV = 150 V?

A) Find the wavelength of a photon that has energy of 27 eVeV. Express your answer with the appropriate units.   B) Find the wavelength of an electron that has energy of 27 eVeV. (The energy of the electron is its kinetic energy.) Express your answer with the appropriate units.

i know the answer is NOT  9.42(10^-21)

What is the energy range (in joules and eV) of photons in the visible spectrum, of wavelength 410 nm to 740 nm ? Express your answers using two significant figures. Enter your answers numerically separated by a comma. ΜΕ ΑΣΦ Emin, Emax = Submit Request Answer Part B ? J Express your answers using two significant figures. Enter your answers numerically separated by a comma. Emin, Emax = Η ΑΣΦ ? eV Submit Request Answer