De Broglie Wavelength

According to the de Broglie hypothesis, which of the following statements is applicable to the

wavelength of a moving particle?

• directly proportional to its energy

• directly proportional to its momentum

• inversely proportional to its energy

• inversely proportional to its momentum

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According to de Broglie, as the momentum of a moving particle is tripled, the corresponding

wavelength changes by what factor?

• 1/9

• 1/3

• 3

• 9

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NGSS.HS-PS4-1

What is the de Broglie wavelength for a proton (m= 1.67* 10^-27kg) moving at a speed of 6.0 *10⁶

m/s?

• 2.0*10^-13 m

• 0.33*10^-13 m

• 1.3*10^-13 m

• 0.66*10^-13m

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The de Broglie wavelength of a 0.060 kg golf ball is 4.28 * 10^-34m. What is its speed?

• 15 m/s

• 26 m/s

• 31 m/s

• 48 m/s

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The electron microscope’s main advantage over the optical microscope is which of the following?

• greater ease of portability

• dispenses with need for a lens

• higher power lens used

• higher resolution possible

Starting from rest, an electron accelerates through a potential difference of 40 V. What is its de Broglie

wavelength? (h = 6.63*10^-34 J×s, me = 9.11*10^-31kg, and 1 eV = 1.60 * 10^-19J)

• 1.1*10^-10 m

• 1.5*10^-10 m

• 1.9 * 10^-10 m

• 2.3*10^-10 m

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If an electron has a measured wavelength of 0.850 * 10^-10m, what is its kinetic energy?

(h= 6.63 *10^-34 J×s, 1 eV = 1.6 *10^-19J, and me = 9.11 * 10^-31 kg

• 55.0 eV

• 104 eV

• 147 eV

• 209 eV

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Due to the dual nature of light and matter, either can act in an experiment as if it is a wave or a particle. In which experiment is the wave aspect exhibited for matter?

• the Davisson and Germer experiment

• the photoelectric effect

• pair production

• Compton scattering

An electron microscope operates with electrons of kinetic energy 50.0 keV. What is the wavelength of

these electrons? Assume this speed is not relativistic.

• 9.28* 10^-10 m

  b.

• 7.14*10^-11 m

• 5.49´ 10^-12 m

• 2.75* 10^-13 m

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The “seeing” ability or resolution of radiation is determined by its wavelength. If the size of an atom is

approximately 10^-10 m, how fast must an electron travel to have a wavelength smaller than that of an

atom?

• 7.3*10⁶ m/s

• 3.4*10⁶ m/s

• 1.0*10⁶ m/s

• 5.4*10⁵ m/s

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