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1) 2) 3) 4) 5) Assuming that the smallest measurable wavelength in an experiment

ID: 856335 • Letter: 1

Question

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Assuming that the smallest measurable wavelength in an experiment is 0.610 fm (femtometers), what is the maximum mass of an object traveling at 339 m . s^-1 for which the de Broglie wavelength is observable? A certain rifle bullet has a mass of 5.73 g. Calculate the de Broglie wavelength of the bullet traveling at 1361 miles per hour. Physical constants can be found here. The energy levels of one-electron ions are given by the equation En = (-2.158 x 10^-18 J) Z^2/n^2 where Z is atomic number and n is the energy level. The series in the He spectrum that corresponds to the set of transitions where the electron falls from a higher level to the n1 = 4 state is called the Pickering series, an important series in solar astronomy. Calculate the Pickering series wavelength associated with the excited state ni = 8. What region of the electromagnetic spectrum does this transition fall in? infrared visible gamma ultraviolet microwave radio Xray A certain shade of blue has a frequency of 7.32 x 1014 Hz. What is the energy of exactly one light? Microwave ovens emit microwave energy with a wavelength of 12.9 cm. What is the energy of exactly one photon of this microwave radiation?

Explanation / Answer


1) Energy = frequency*h
     = hc/wavelength
=6.626*10^-34*3*10^10/12.9 = 1.54*10^-24 j

2) DE = 2.18*10^-18[1/n1^2-1/n2^2]

    or 1/lambda = 109677[1/n1^2-1/n2^2]
1/ lambda = 109677[1/4^2-1/8^2] n2>n1
lambda = 1.945*10^-6 m

it is in visible region.

3) wavelength ==h/mv 6.626810^-34/0.00573*608.421

wavelength   = 1.728*10^-34 m

4) mass = h/v*wavelength = 6.626810^-34/339*6.1