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Quantum Mechanics: 19 MCQs with answers

All 19 multiple-choice questions from this kit, free and with no sign-up.

Full kit · everything Flashcards · 17 Quick Revision · 13

Warm-up · 7 questions

Q1. What did the Davisson-Germer experiment conclusively demonstrate?

Beginner
A Light is purely a particle B Atoms are indivisible C Particles have no wave nature D Electrons exhibit wave nature
Show answer & explanation

Electrons exhibit wave nature

The experiment showed diffraction of electrons, confirming de Broglie's hypothesis of wave-particle duality.

Q2. In the Davisson-Germer experiment, electrons were scattered off a crystal of:

Beginner
A Copper B Nickel C Silicon D Graphite
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Nickel

Davisson and Germer used a nickel crystal to observe diffraction patterns.

Q3. The Davisson-Germer experiment is often cited as evidence for:

Beginner
A Wave nature of matter B Dual nature of light C Wave nature of light D Particle nature of light
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Wave nature of matter

It demonstrated that electrons, which are matter, behave as waves.

Q4. The Davisson-Germer experiment was performed in which year?

Beginner
A 1927 B 1905 C 1932 D 1913
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1927

Davisson and Germer published their experiment in 1927.

Q5. The Davisson-Germer experiment provided direct evidence for the wave nature of matter, supporting the hypothesis proposed by:

Beginner
A Louis de Broglie B Niels Bohr C Erwin Schrödinger D Albert Einstein
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Louis de Broglie

De Broglie proposed that matter has wave-like properties, which this experiment confirmed.

Q6. The Davisson-Germer experiment demonstrated that electrons behave as waves.

Beginner
A True B False
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True

The observed diffraction pattern confirmed the wave nature of electrons.

Q7. The Davisson-Germer experiment used a copper crystal to scatter electrons.

Beginner
A True B False
Show answer & explanation

False

The experiment used a nickel crystal, not copper.

Building up · 11 questions

Q8. The diffraction pattern observed in the Davisson-Germer experiment is due to:

Intermediate
A Photoelectric effect B Bragg reflection of electron waves C Compton scattering D X-ray interference
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Bragg reflection of electron waves

The electron waves reflected from crystal planes interfere constructively according to Bragg's law.

Q9. The accelerating voltage used in the Davisson-Germer experiment that produced the strongest diffraction was approximately:

Intermediate
A 12 V B 200 V C 54 V D 100 V
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54 V

At 54 V, the electron wavelength matched the spacing, giving a pronounced diffraction maximum.

Q10. The de Broglie wavelength of an electron accelerated through a potential difference V is given by:

Intermediate
A $\lambda = \frac{h}{p}$ B $\lambda = \frac{h}{\sqrt{2meV}}$ C $\lambda = \frac{h}{\sqrt{2mE}}$ D $\lambda = \frac{h}{mv}$
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$\lambda = \frac{h}{\sqrt{2meV}}$

For an electron accelerated from rest, kinetic energy = eV, so momentum p = sqrt(2meV), giving λ = h/sqrt(2meV).

Q11. In the Davisson-Germer experiment, the scattered electron intensity was measured as a function of:

Intermediate
A Pressure B Magnetic field C Temperature D Scattering angle
Show answer & explanation

Scattering angle

The detector measured electron intensity at various angles to observe interference maxima.

Q12. The experimental result of Davisson-Germer matched the theoretical prediction of:

Intermediate
A Bohr's atomic model B Einstein's photoelectric equation C de Broglie's wavelength formula D Heisenberg's uncertainty principle
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de Broglie's wavelength formula

The observed diffraction angle and electron wavelength agreed with de Broglie's relation λ = h/p.

Q13. The crystal used in the experiment acted as a:

Intermediate
A Polarizer B Lens C Prism D Diffraction grating
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Diffraction grating

The regular arrangement of atoms in the crystal diffracted the electron waves, similar to a grating.

Q14. If the accelerating voltage is increased, the de Broglie wavelength of electrons:

Intermediate
A Decreases B Increases C Becomes zero D Remains constant
Show answer & explanation

Decreases

Since λ ∝ 1/√V, increasing V reduces the wavelength.

Q15. The diffraction peak observed at 54 V occurred at a scattering angle of approximately:

Intermediate
A 30° B 180° C 90° D 50°
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50°

The maximum intensity was observed at about 50° for 54 V electrons.

Q16. The Davisson-Germer experiment confirmed the de Broglie hypothesis for:

Intermediate
A Electrons B Protons C Photons D Neutrons
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Electrons

It specifically demonstrated wave behavior of electrons.

Q17. The Davisson-Germer experiment is analogous to which of the following experiments?

Intermediate
A Rutherford's gold foil experiment B Faraday's ice pail experiment C Millikan's oil-drop experiment D Young's double-slit experiment with light
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Young's double-slit experiment with light

Both show wave interference patterns, one for light and the other for electrons.

Q18. In the Davisson-Germer experiment, the electron gun accelerates electrons through a variable potential difference. This is done to:

Intermediate
A Align the electron spins B Produce monochromatic light C Change the electron's wavelength D Increase the electron's charge
Show answer & explanation

Change the electron's wavelength

Changing the accelerating voltage changes the electron's kinetic energy and hence its de Broglie wavelength.

Topper level · 1 questions

Q19. Which of the following is NOT a conclusion of the Davisson-Germer experiment?

Advanced
A Electrons have wave nature B Matter waves are electromagnetic waves C The wavelength of electrons matches de Broglie's formula D The experiment supports wave-particle duality
Show answer & explanation

Matter waves are electromagnetic waves

Matter waves are not electromagnetic; they are probability waves.

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