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Lesson_5.1_Homework

# Lesson_5.1_Homework - 8 An electron in a multi-electron...

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Lesson 5.1 Homework 1. What is the de Broglie wavelength for (i) an electron, (ii) a proton both moving with a velocity of 100 m.s -1 ? 2. Calculate the de Broglie wavelength of a 70-kg man running at 2.0 m.s -1 . 3. A proton and an electron are accelerated from rest through a potential difference V. What is the ratio of the de Broglie wave length of an electron to that of a proton? 4. An electron is accelerated from rest through a potential difference that gives it a matter wave with a wavelength of o.1 nm. What is the potential difference? 5. Electrons are accelerated from rest through a potential of 250 kV. If the potential is increased to 600 kV, what is the ratio of the new de Broglie wavelength to the original? 6. Charged particles are accelerated through a potential V. By what factor would the de Broglie wavelength of the particles change if the voltage were doubled? 7. How many sets of possible quantum numbers are there for n = 2 and n = 3? Show the possible distribution of quantum numbers.
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Unformatted text preview: 8. An electron in a multi-electron atom has a magnetic quantum number m l = 3. What are the maximum values of l and n for this electron? 9. Identify the atoms of the following ground state electron configurations: (i) 1s 2 2s 2 , (ii) 1s 2 2s 2 2p 3 , (iii) 1s 2 2s 2 2p 6 3s 2 3p 4 10. Write down the ground state configuration of sodium and calcium. 11. What is the minimum uncertainty in the velocity of an electron that is known to be somewhere between 0.05 nm and 0.1 nm from the proton? 12. An electron travels with a speed of 3.60560 ± 0.00021 m.s-1 . What is the minimum uncertainty in its position? 13. Find the energy required to excite a hydrogen electron from (i) the ground state to n = 3, (ii) from n = 2 to n = 3 14. What is the frequency of light that would excite the electron of a hydrogen atom from (i) n = 2 to n = 5, (ii) n = 2 to n = ∞ 15. Find the radius of the electron orbit of the hydrogen atom for (i) n = 3, (ii) n = 6, and (iii) n = 10...
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