Determine the number of photons with wavelengths between 705 and 713 nm escaping each second from a small opening in a cavity at a temperature of 8350 K. The opening behaves like a blackbody, and has a radius of 2.20 x 10-² mm. photons/s
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- The threshold of dark-adapted (scotopic) vision is 2.8 ✕ 10−11 W/m2 at a central wavelength of 500 nm. If light with this intensity and wavelength enters the eye when the pupil is open to its maximum diameter of 8.4 mm, how many photons per second enter the eye? _________photons/sMY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A solid metal sphere emits 1.62 x 1020 photons every second with a radiating power of 1.93 W. (a) Determine the energy associated with each photon. eV (b) Assuming the sphere's power output is associated with the peak wavelength, determine the temperature of the sphere at which this wavelength is emitted. K Additional Materials O ReadingWhat temperature, in °C, is a blackbody whose emission spectrum peaks at 320 nm ? T= Submit Request Answer Part B VE ΑΣΦ T= Submit What temperature, in °C, is a blackbody whose emission spectrum peaks at 4.60 m? VE ΑΣΦ P By Request Answer ? Stag °C ? °C
- Suppose a star with radius 8.57 × 108 m has a peak wavelength of 680 nm in the spectrum of its emitted radiation. (a) Find the energy of a photon with this wavelength. J/photon (b) What is the surface temperature of the star? K (c) At what rate is energy emitted from the star in the form of radiation? Assume the star is a blackbody (e = 1). W (d) Using the answer to part (a), estimate the rate at which photons leave the surface of the star. photons/sPlatinum has a prominent x-ray emission line at 66.8 keV. (a) What is the minimum speed (in m/s) of an incident electron that could produce this emission line? m/s (b) What is the wavelength (in m) of a 66.8 keV x-ray photon? mc) The Bohr model of the atom postulated electrons orbiting around the nucleus in stable orbits. De Broglie explained what orbits could exist by postulating that electrons (and any- thing else) with momentum p have an associated wavelength λ, given by λ=h/p where h is Planck's constant. i) For an electron orbiting around a proton (the Bohr model), equating the centripetal force with the Coulomb force gives the expression v² = e²/(4πεmer). Calculate the speed of an electron orbiting at the Bohr radius, ˜Â = 0.053 nm. ii) Calculate the momenta and the de Broglie wavelengths of the electron of part (i) and of a bird (a racing pigeon) that weighs 0.350 kg and flies at 100 km per hour. iii) Compare the wavelength for the electron that you obtain in (ii) with the circumference of the orbit. Comment on this comparison. Explain briefly what it implies about the other possible orbits of the Bohr model and how the higher orbits might be predicted.
- For light with a wavelength of 350 nm and with an intensity of /= 10-8 W/m², what is the number of photons/(m²s) in the light beam?B4. A bone sample has a density p = 1.2x10³ kg/m³, a molar mass m = 217 g/mol and an interaction cross section per atom o = 6.0x10-22 cm². Determine the linear attenuation coefficient µ (in cm-¹) and the half value layer (in cm). Assume there is no scattering when the radiation interacts with the bone sample. Express the values to 3 significant figures, if necessary.A photon having a wavelength of 182 nm strikes the surface of a metal sheet having a threshold frequency (νo) of 9.27 x 1014 s-1. Calculate the velocity of the ejected electron in SI units AND in units of miles per hour. Hint: Combine equations 1.3 (pg 16 of textbook) and 3.6 (pg. 94). Report the units of your answer.