Essential University Physics -Modified MasteringPhysics Access
Essential University Physics -Modified MasteringPhysics Access
3rd Edition
ISBN: 9780133857214
Author: Wolfson
Publisher: PEARSON
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Chapter 35, Problem 45P
To determine

Whether the quantization is significant for macromolecules confined to biological cells or not.

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An electron is bound in a square well of width 1.05 nm and depth U0=6E∞, where E∞ is the ground-state energy for an infinitely deep potential well.If the electron is initially in the ground level,  E1=0.625E∞ , and absorbs a photon, what maximum wavelength can the photon have and still liberate the electron from the well?
Express the complex number z1 = (√(3) + i)/2 in the form rei Φ. What about z2 = (1 + √(3i))/2? If these complex numbers are the probability amplitudes for photons to be detected, what is the probability in each case? (Hint: See attatched image for more on finding probability amplitudes)
This question is for modern physics and wave and particle:   (a) To how small a region must an electron be confined for borderline relativistic speeds – say, 0.05c – to become reasonably likely? (Ans: 3.9×10^−12m ) (b) On the basis of this, would you expect relativistic effects to be prominent for hydrogen’s electron, which has an orbit radius near 10-10? For a lead atom “inner-shell” electron of orbit radius 10-12m?
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