# Question

(a) Which has more possible sets of quantum numbers associated with it, n = 2 or ℓ = 2?

(b) Prove your answer to part (a).

(b) Prove your answer to part (a).

## Answer to relevant Questions

An electron in an atom is in an orbit that has a magnetic quantum number of mℓ = 2. What are the minimum values that (a) ℓ and (b) n could be for that orbit? (a) If there were no electron spin, the 1s state would contain a maximum of (1) zero, (2) one, (3) two electrons. Why? (b) What would be the first two inert or noble gases if there were no electron spin? What is the minimum uncertainty in the position of a 0.50-kg ball that is known to have a speed uncertainty of 3.0 x 10-28 m/s? An electron traveling at 3.00 x 104 m/s is further accelerated by a potential difference so as to reduce its de Broglie wavelength to one-third of its original value. How much voltage is required to accomplish this? A proton traveling at a speed of 4.5 x 104 m/s is accelerated through a potential difference of 37 V. (a) Will its de Broglie wavelength (1) increase, (2) remain the same, or (3) decrease, due to the potential difference? ...Post your question

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