Question

(a) Rank the following particles in order of their de Broglie wavelength, from longest wavelength to shortest wavelength. If any two particles have the same de Broglie wavelength, state this. Explain how you made your ranking.

(i) A proton (mass 1.67 ´ 10^–27 kg) moving north at 1.0 ´ 10³ m/s

(ii) A proton (mass 1.67 ´ 10^–27 kg) moving west at 2.0 ´ 10³ m/s

(iii) An electron (mass 9.11 ´ 10^–31 kg) moving south at 1.0 ´ 10³ m/s

(iv) An electron (mass 9.11 ´ 10^–31 kg) moving east at 2.0 ´ 10³ m/s

(v) An electron (mass 9.11 ´ 10^–31 kg) moving southwest at 2.0 ´ 10³ m/s

(b) Fill in the blanks with the phrase a photon, the phrase an electron, the phrase either a photon or an electron, or the phrase don’t know.

(i) If the momentum of __________ increases, its wavelength decreases.

(ii) If the energy of __________ increases, its wavelength decreases.

(iii) If the momentum of __________ increases, its energy increases.

(iv) If the momentum of __________ doubles, its energy doubles.

(v) If the wavelength of __________ increases, its speed decreases.

Answer 1

The answers are in the images. Page number is mentioned at right top. As there are two independent questions and you have not specifically mentioned any to answer, so as HOMEWORKLIB's answering guidelines, I need to answer only the 1st question completely. However here I answer all with explanation. Note that the meaning of phrase "either a photon or an electron" Is not clear. I use this phrase when both of them satisfies the condition.