An electron and a proton have the same kinetic energy and are moving at speeds much less than the speed of light. Determine the ratio of the de Broglie wavelength of the electron to that of the proton.

Q: Photoelectrons with a maximum kinetic energy of 7.95 eV are emitted from a metal when it is…

A: The kinetic energy of the electron is given in electron volts (eV). However, in order to calculate…

Q: You illuminate a metal with light of wavelength 640 nm and find that the photoelectrons have a…

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Q: Electrons striking the back of a conventional TV screen travel at a speed of about 2.1 ✕ 107 m/s.…

A: Given data: Speed of electrons (v) = 2.1  × 107 m/s Required: De Broglie wavelength in nm

Q: A particle of matter is moving with a kinetic energy of 7.17 eV. Its de Broglie wavelength is 5.23 x…

A: Kinetic energy, K = 7.17 eV = 7.17×1.6×10-19 JWavelength, λ = 5.23 x 10^-12 mMass, m = ?

Q: A photon of wavelength 6.98 pm scatters at an angle of 152° from an initially stationary, unbound…

A: Here use Compton shifting formula

Q: Singly charged sodium atoms are accelerated through a potential difference of 210 V. (a) What is the…

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Q: A ball has a mass of 0.22 kg just before it strikes the Earth after being dropped from a building…

A: Mass = 0.22kg Distance covered (s) = 42.9 m

Q: (a) If the wavelength of an electron is 4.70 × 10¯ m, how fast is it moving? km/s (b) If the…

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Q: What is the wavelength of a photon that has the same momentum as an electron with a speed of 6.17…

A: Equate the Momentum of an electron and a photon

Q: Electrons striking the back of a conventional TV screen travel at a speed of about 1.5 ✕ 107 m/s.…

A: Given data: The speed of electron, v=1.5×107 m/s. The de Broglie wavelength of electron is given…

Q: What is the wavelength (in meters) of a 0.5 kg particle moving with a velocity of 6.63x10-34 m/s?…

A: Given data:  Mass (m) = 0.5 kg Velocity (v) = 6.63×10-34 m/s h = 6.63×10-34 J.s Required: Wavelength…

Q: Calculate the de Broglie wavelength of a proton moving at 3.26 × 10 m/s and 2.22 x 10° m/s. (a) 3.26…

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Q: A nonrelativistic particle is moving three times as fast as an electron. The ratio of the de Broglie…

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Q: If a proton were traveling the same speed as electrons in a TV picture tube (about 8.5  107 m/s),…

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Q: During a certain experiment, the de Broglie wavelength of an electron is 650 nm = 6.5 x 10-7 m,…

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Q: The mass of a gold atom is about 3.27 × 10-25 kg. Find the de Broglie wavelength of a thermal gold…

A: The mass of gold atom is, m=3.27×10-25 kg

Q: What are (a) the energy of a photon corresponding to wavelength 1.00 nm, (b) the kinetic energy of…

A: a) The expression for the energy of photon is,

Q: A proton and an electron are accelerated from rest through the same potential difference V. What is…

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Q: What is the wavelength of a photon that has the same momentum as an electron with a speed of 2.69…

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Q: A particle of matter is moving with a kinetic energy of 5.63 eV. Its de Broglie wavelength is 2.10 x…

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Q: A particle A of mass 'm' and charge 'q' is accelerated by a potential difference of 50 V. Another…

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Q: Find the de Broglie wavelength of an electron with a speed of 0.90c. Take relativistic effects into…

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Q: A proton in a linear accelerator has a de Broglie wavelength of 117 pm. What is the speed of the…

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Q: An electron is accelerated through a potential difference ΔV. A second electron is accelerated…

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Q: During a certain experiment, the de Broglie wavelength of an electron is 440 nm = 4.4 × 10-7 m,…

A: Given, Wavelength=440nm=4.4×10^-7m Velocity=?

Q: Calculate the de Broglie wavelength of a 90 kg person who is running at a speed of 5.25 m/s. Answer…

A: It is given that m=90 kgv=5.25 m/s

Wien's displacement law

Students often get confused between Wien's displacement law and Planck's radiation law. Although both are historically related, yet they are conceptually different. Planck's law helps determine the spectrum of a blackbody, while Wien's law determines the relationship between peak wavelength and temperature.