It is stated in the text that special relativity must beused to calculate the de Broglie wavelength ofelectrons in an electron microscope. Let usdiscover how much of an effect relativity has.Consider an electron that has been acceleratedthrough a potential difference of 1.5x105 V.Part AUsing the Newtonian (non-relativistic) expressions for kinetic energy and momentum, what is the electron's de Brogliewavelength?Express your answer using two significant figures.A =ΜΕ ΑΣΦSubmitRequest AnswerPart B?mThe de Broglie wavelength is λ=h/p, but the momentum of a relativistic particle is not mv. Using the relativisticexpressions for kinetic energy and momentum, what is the electron's de Broglie wavelength?Express your answer using two significant figures.ΜΕ ΑΣΦλ =SubmitRequest Answer?m

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Answered: It is stated in the text that special…

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter40: Quantum Mechanics

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In a supercollider at CERN, protons are accelerated to velocities of 0.25c. What are their wavelengths at this speed? What are their kinetic energies? If a beam of protons were to gain its kinetic energy in only one pass through a potential difference, how high would this potential difference have to be? (Rest mass energy of a proton is E0=938 MeV).
(a) What is the uncertainty in the energy released in the decay of a due to its short lifetime? (b) What traction of the decay energy is this, noting that the decay mode is (so that all the mass is destroyed)?
It is stated in the text that special relativity must be used to calculate the de Broglie wavelength of electrons in an electron microscope. Let us discover how much of an effect relativity has. Consider an electron accelerated through a potential difference of 1.00 x 105 V.a. Using the Newtonian (nonrelativistic) expressions for kinetic energy and momentum, what is the electron’s de Broglie wavelength?b. The de Broglie wavelength is λ = h/p, but the momentum of a relativistic particle is not mv. Using the relativistic expressions for kinetic energy and momentum, what is the electron’s de Broglie wavelength?
In a supercollider at CERN, protons can be accelerated to velocities of 0.75c. What are their de Broglie wavelengths at this speed?
This question is for modern physics and wave and particle: (a) To how small a region must an electron be confined for borderline relativistic speeds – say, 0.05c – to become reasonably likely? (Ans: 3.9×10^−12m ) (b) On the basis of this, would you expect relativistic effects to be prominent for hydrogen’s electron, which has an orbit radius near 10-10? For a lead atom “inner-shell” electron of orbit radius 10-12m?
Assuming that the radius of the circular path of the electron is 4.9cm when voltage is 100v and coil current is 1A and The Helmholtz coils have 130 turns and a radius of 15 cm. With N=130 and R=0.15 What is the velocity of the electrons at 100 V, assuming the known charge and mass of the electron from the accepted universal constants that are the basis of SI units? Hints: Do a classical calculation of the kinetic of the electon assuming you know its mass (in kg) and its charge (in coulomb). That will be 1/2 mv2. Equate that to the energy of the electron gained by accelerating in the electric field, that is, eV where "e" is the charge and "V" is the difference potential in volts. Solve for "v", the velocity. Enter your answer in km/s, 103 m/s, without units. It is best to enter only a number, without an "e". For example, if you found 2000 m/s you would enter "2" for the velocity in km/s. Electrons have low mass and achieve high velocity in modest fields.
A proton in a linear accelerator has a de Broglie wavelength of 117 pm. What is the speed of the proton? Express your answer with the appropriate units.
Consider A Relativistic Particle,whose de-Broglie wavelength Is λR . If λc represents Compton wavelength, Then Find The Ratio λR/λc ?
A particle traveling with speed v has a de Broglie wavelength of A. What is its de Broglie wavelengthwhen the same particle travels with speed 1/2 v?
By doing a nuclear diffraction experiment, you measure the de Broglie wavelength of a proton to be 8.30 fm. (a.).What is.the.speed of the proton? Exc Enter a number. (b) Through what magnitude potential difference must it be accelerated to achieve that speed? X MV
H2 Q: The condition for performing the multipole expansion in the radiation problem is d/c 1/ω where d is the size of the source and ω is the frequency for the periodic motion of the charge. Show that this condition implies that the motion of the charge is non-relativistic.
Assume that an atomic nucleus can be thought of as a three-dimensional box with a width of 2 x 10^-14 m. If a proton moving as particles in this box, specify : Energy is excited first and second.

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