The de Broglie wavelength of a proton in a particle accelerator is 1.81 × 10-14 m....

The de Broglie wavelength of a proton in a particle accelerator is 1.81 × 10-14 m. Determine the kinetic energy (in joules) of the proton.

Expert Solution

First we have to find out the momentum by debroglie wavelength formula. Then we will check the velocity of the proton by momentum formula used in special relativity. If the velocity is less than 10% of the speed of light then we can ignore the special relativity and use classical mechanics. Please comment if you have any doubts...

genius_generous answered 4 months ago

If the momentum of a particle is doubled, what happens to its de Broglie wavelength? it...

If the momentum of a particle is doubled, what happens to its de Broglie wavelength? it decreases by a factor of 2-1/2 it doubles it halves it becomes slightly less than half it slightly more than doubles

The mass of an electron is 9.11×10−31 kg. If the de Broglie wavelength for an electron...

The mass of an electron is 9.11×10−31 kg. If the de Broglie wavelength for an electron in a hydrogen atom is 3.31×10−10 m, how fast is the electron moving relative to the speed of light? The speed of light is 3.00×108 m/s.

Calculate the de Broglie wavelength of (a) a 0.715 keV electron (mass = 9.109 × 10-31...

Calculate the de Broglie wavelength of (a) a 0.715 keV electron (mass = 9.109 × 10-31 kg), (b) a 0.715 keV photon, and (c) a 0.715 keV neutron (mass = 1.675 × 10-27 kg).

Calculate the length of the de broglie wave of an electron and a proton moving with...

Calculate the length of the de broglie wave of an electron and a proton moving with a kinetic energy of 1keV. For what values of kinetic energy will their wavelength be equal to 0.1 nm? me = 9.1.10 31kg, e = 1.602.10-19C, mp = 1.627.10-27 kg

a) Derive an expression for the de Broglie wavelength of an electron in the Bohr model...

a) Derive an expression for the de Broglie wavelength of an electron in the Bohr model of the hydrogen atom as a function of a0 and n. b) Assume the uncertainty of the electron’s position is the diameter of its Bohr orbit. Derive an expression for the minimum uncertainty in electron’s velocity, (∆vn) as function of a0 and n (and other constants). c) Use quantization of angular momentum to write an expression for the velocity as a function of n,...

An electron has a de Broglie wavelength of 235 nm .What is the speed of the...

An electron has a de Broglie wavelength of 235 nm .What is the speed of the electron? --------------------------------------------------------------------- How much energy is contained in 1 mol of γ-ray photons with a wavelength of 2.43×10−5 nm . ? ------------------------------------------------------------------------ In a technique used for surface analysis called auger electron spectroscopy (AES), electrons are accelerated toward a metal surface. These electrons cause the emissions of secondary electrons-called auger electrons-from the metal surface. The kinetic energy of the auger electrons depends on the...

In this example we will apply the concept of the de Broglie wavelength to neutrons. Find...

In this example we will apply the concept of the de Broglie wavelength to neutrons. Find the speed and kinetic energy of a neutron (m=1.675×10−27kg)(m=1.675×10−27kg) that has a de Broglie wavelength λ=0.200nmλ=0.200nm, typical of atomic spacing in crystals. Compare the energy with the average kinetic energy of a gas molecule at room temperature (T=20∘C)(T=20∘C). Find the kinetic energy of an electron with a de Broglie wavelength of 0.163 nmnm .

1. For what kinetic energy is the de Broglie wavelength of an electron equal to its...

1. For what kinetic energy is the de Broglie wavelength of an electron equal to its Compton wavelength? Express your answer in units of mc2 in doing the calculation, and then use mc2 = 0.5 MeV.(Answer: 0.2 MeV) 2. A beam of electrons with energy 1.0 eV approaches a potential barrier with U = 2.0 eV, whose width is 0.10 nm (see a figure below). Estimate the fraction of electrons that tunnel through the barrier. (Hint: use the relation of...

Explain what physicists mean when they say that the de Broglie wavelength relates to the probability...

Explain what physicists mean when they say that the de Broglie wavelength relates to the probability distribution wave function. Please be specific and do not copy and paste previous answers.

Describe dual nature of matter? Write de Broglie wavelength and frequency? Explain the electron microscope? Write...

Describe dual nature of matter? Write de Broglie wavelength and frequency? Explain the electron microscope? Write Bohr’s theory and assumptions for hydrogen atom with energy level diagram? Write Bohr’s correspondence principle?

Question