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- For a black body, the temperature and the wavelength of the emission maximum, Amax, are related by Wein's Law, expressed as: T/°C λmax/nm Values of Amax from a small pinhole in an electrically heated container were determined at a series of temperatures. The results are given below. Deduce the value of Planck's constant. 1000 2181 c = 3.00 x 108 m/s 1500 1600 λmaxT = 2000 1240 k= 1.38 x 10-34 J-S hc 4.965k 2500 1035 3000 878 3500 763Suppose a star with radius 8.51 108 m has a peak wavelength of 689 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/sUse Heisenberg equation to calculate the uncertainty in the position of a proton moving at a speed of 3.00×104 m s-1 within an error of 50 m s-1. Note: the mass of a proton is mp = 1.6726×10-27 kg.
- Radiation has been detected from space that is characteristic of an ideal radiator at T = 2.728 K. (This radiation is a relic of the Big Bang at the beginning of the universe.) For this temperature, at what wavelength does the Planck distribution peak? In what part of the electromagnetic spectrum is this wavelength?The unit surface of a black body at 37 °C radiates a number of electromagnetic waves with a certain wavelength. If the Wien constant is 2.898 x 10^-3 m.k, then the wavelength at which the blackbody radiation density per unit length has a maximum value isA ball has a mass of 0.216 kg just before it strikes the Earth after being dropped from a building 74.1 m tall. What is its de Broglie wavelength? The acceleration of gravity is 9.8 m/s 2 and Planck’s constant is 6.62607 × 10−34 J · s. Answer in units of m.
- The blackbody radiation emitted from a furnace peaks at a wavelength of 3.3 10-6 m (0.0000033 m). What is the temperature inside the furnace In K?A quantum of electromagnetic radiation has an energy of 1.02 keV. What is its wavelength? The speed of light is 2.99792 x 10° m/s, and Planck's constant is 6.62607 × 10¬34 J. s. Answer in units of nm.(prt 1)A photon emitted as a hydrogen atom undergoes a transition from the n = 4 state to then = 2 state.Find the energy of the emitted photon. Theenergy of the ground state is 13.6 eV.Answer in units of eV. (prt 2)Find the wavelength of the emitted photon.The speed of light is 3 × 108 m/s and Planck’sconstant is 6.626 × 10−34 J · s.Answer in units of nm. (prt 3)Find the frequency of the emitted photon.Answer in units of Hz.
- Find the frequency of a photon of wavelength 436x10^-9 m , p= 1.5197x10^-27 kg.m/s ?!Consider a material that is well approximated by a black body. The max. emitted irradiance is found at a wavelength of 445 nm. What is the temperature of the black body. Provide your answer in Kelvin.a thermal neutron has a speed v at temperature T=300K and kinetic energy m0v^2/2=3kT/2.calculate its de Broglie wavelength .state whether a beam of these neutrons could be diffracted by a crystal and why?