5 suppose the four energy levels were somehow evenly

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5 014(part3of3)10.0points Suppose the four energy levels were somehow evenly spaced. How many spectral lines would result? 016 10.0points What is the uncertainty in the speed of a proton if it is desired to locate its position to within an uncertainty of x = 1 . 52 nm ? Planck’s constant is 6 . 63 × 10 - 34 J · s and the mass of the proton is 1 . 67 × 10 - 27 kg. Use the Heisenberg uncertainty principle, 1. five 2. six 3. four 4. three correct Explanation: Only three. n = 1 n = 2 n = 3 n = 4 The transition from 4 to 3 would involve the same difference in energy and be indis- tinguishable from the transition from 3 to 2, or from 2 to ground. Likewise, the transition from 4 to 2 would have the same change in energy as a transition from 3 to ground. length. Thus the slower electron has the longer wavelength.
015 10.0points One electron travels twice as fast as another. Which has longer wavelength? × 1 1 . 52 × 10 - 9 m
The twice-as-fast electron has twice the mo- mentum. By de Broglie’s formula, wavelength is inversely proportional to momentum, so twice the momentum means half the wave-

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