5.6.4 Wave-particle duality and the de Broglie wavelength Quiz: Pearson Edexcel Physics, Unit 5

The 20 questions

1. Which equation gives the de Broglie wavelength lambda of a particle with momentum p?

   • lambda = h / p^2
   • lambda = h p
   • lambda = h / p
   • lambda = p / h

2. How is the momentum p of a particle of mass m and speed v defined?

   • p = m/v
   • p = m v
   • p = m^2 v
   • p = (1/2) m v^2

3. Which phenomenon demonstrates the wave properties of electrons?

   • Thermionic emission
   • Electron diffraction
   • Photoelectric effect
   • Alpha scattering

4. Which term describes matter exhibiting both wave and particle properties?

   • Wave-particle duality
   • Quantum tunnelling
   • Superposition principle
   • Energy quantisation

5. What is the momentum of a photon of wavelength lambda?

   • p = h/lambda squared
   • p = lambda/h
   • p = h lambda
   • p = h/lambda

6. What happens to an electron's de Broglie wavelength as its speed increases?

   • It stays constant
   • It increases
   • It becomes zero
   • It decreases

7. Why do electron microscopes achieve much higher resolution than optical microscopes?

   • Larger mass
   • Shorter wavelength
   • Higher speed
   • Greater charge

8. An electron of mass 9.1 x 10^-31 kg moves at 2.0 x 10^6 m/s. What is its de Broglie wavelength? Take h = 6.63 x 10^-34 J s.

   • 3.6 x 10^-7 m
   • 2.2 x 10^9 m
   • 1.2 x 10^-15 m
   • 3.6 x 10^-10 m

9. A proton of mass 1.67 x 10^-27 kg moves at 1.0 x 10^4 m/s. What is its de Broglie wavelength? Take h = 6.63 x 10^-34 J s.

   • 4.0 x 10^-14 m
   • 2.5 x 10^-10 m
   • 4.0 x 10^-8 m
   • 4.0 x 10^-11 m

10. A ball of mass 0.15 kg moves at 30 m/s. What is its de Broglie wavelength? Take h = 6.63 x 10^-34 J s.

    • 1.5 x 10^-30 m
    • 1.5 x 10^-34 m
    • 2.2 x 10^-33 m
    • 1.5 x 10^-37 m

11. What is the momentum of a photon of wavelength 500 nm? Take h = 6.63 x 10^-34 J s.

    • 1.3 x 10^-21 kg m s^-1
    • 1.3 x 10^-27 kg m s^-1
    • 2.5 x 10^-7 kg m s^-1
    • 6.6 x 10^-40 kg m s^-1

12. An electron is accelerated from rest through a potential difference of 100 V. What is its de Broglie wavelength? Take m = 9.1 x 10^-31 kg, e = 1.6 x 10^-19 C and h = 6.63 x 10^-34 J s.

    • 1.2 x 10^-8 m
    • 3.6 x 10^-10 m
    • 1.2 x 10^-10 m
    • 1.2 x 10^-13 m

13. An electron has de Broglie wavelength 0.20 nm. What is its speed? Take m = 9.1 x 10^-31 kg and h = 6.63 x 10^-34 J s.

    • 3.6 x 10^3 m/s
    • 7.3 x 10^6 m/s
    • 1.8 x 10^6 m/s
    • 3.6 x 10^6 m/s

14. What is the ratio of momentum for a photon and electron with identical de Broglie wavelengths?

    • 1:2
    • 1:4
    • 2:1
    • 1:1

15. What property allows electrons to form diffraction patterns when passing through graphite?

    • de Broglie wavelength
    • Rest mass
    • Work function
    • Electric charge

16. An electron is accelerated from rest through 150 V. Using lambda = 1.23 nm/sqrt(V), with V in volts, what is its de Broglie wavelength?

    • About 1.2 x 10^-11 m
    • About 1.0 x 10^-10 m
    • About 1.5 x 10^-10 m
    • About 3.0 x 10^-10 m

17. An electron has de Broglie wavelength 0.10 nm. Roughly what is its kinetic energy? Take m = 9.1 x 10^-31 kg, h = 6.63 x 10^-34 J s, and 1 eV = 1.6 x 10^-19 J.

    • About 150 eV
    • About 1500 eV
    • About 0.15 eV
    • About 15 eV

18. By what factor does an electron's de Broglie wavelength change if the accelerating voltage is doubled?

    • 1 / 2
    • 2
    • √2
    • 1 / √2

19. Which equation gives the wavelength of a moving electron in diffraction experiments?

    • E = h / λ
    • λ = h / p
    • p = h λ
    • λ = h f

20. What quantity is identical for a photon and an electron with equal de Broglie wavelengths?

    • Charge
    • Kinetic energy
    • Rest mass
    • Momentum

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