Matter Waves — Practice Quiz
ICSE · Class 12 · Physics
Try a 4-question quiz on Matter Waves for ICSE Class 12 Physics: tap an answer to check it and see why. 118 questions in the full chapter test.
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Quick Quiz: Matter Waves
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An electron is accelerated through a potential difference of 56 V. What is its de-Broglie wavelength?
An electron has kinetic energy 120 eV. What is its de-Broglie wavelength in metres?
A neutron has kinetic energy 150 eV. What is its de-Broglie wavelength?
A neutron has de-Broglie wavelength 1.40 × 10^-10 m. What is its kinetic energy?
Sample Questions
A proton has kinetic energy 500 eV. What is its de-Broglie wavelength?
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1.28 × 10^-12 m
Convert energy to joules: K = 500 × 1.6 × 10^-19 J = 8.0 × 10^-17 J. Then use λ = h/√(2mK) with proton mass 1.67 × 10^-27 kg. This gives λ ≈ 1.28 × 10^-12 m.
Electrons are accelerated through 2 kV. What is their de-Broglie wavelength in ångström?
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0.274 Å
For electrons, λ = 12.27/√V Å. With V = 2000 V, λ = 12.27/√2000 Å ≈ 12.27/44.72 Å ≈ 0.274 Å.
A nitrogen molecule at 300 K is moving with the root-mean-square speed. What is its de-Broglie wavelength?
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2.76 × 10^-11 m
For gas molecules, λ = h/√(3mkT). Using the mass of N2 molecule, temperature 300 K, and k = 1.38 × 10^-23 J K^-1 gives λ ≈ 2.76 × 10^-11 m.
A 54 V electron beam is used in the Davisson-Germer experiment. What de-Broglie wavelength is predicted for the electrons?
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1.67 Å
For electrons accelerated through V volts, λ = 12.27/√V Å. For V = 54, λ = 12.27/√54 Å ≈ 1.67 Å.
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