Fundamentals of Physics Extended
Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 41, Problem 34P
To determine

To show:

(a) that when the number of electrons in the conduction band equals the number of holes in the valence band, it implies

NcexpEckT+1 = NvexpEvkT+1 

in which ∆Ec =  Ec - EF and ∆Ev = - (Ev - EF).

(b) that under the conditions when the Fermi level is in the gap between the two bands and its distance from each band is large relative to kT

Ef = Ec+ Ev2+kT ln (NvNc)2

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Report on the percentage errors (with uncertainty) between the value of 'k' from the F vs displacement plot and each of the values of 'k' from the period measurements. Please comment on the goodness of the results.   Value of k = Spring constant k = 50.00 N/m Each of the values of k from period measurements:  Six Measurements of time for 5 osccilations: t1 = 7.76s, t2=8.00s, t3=7.40s, t4=7.00s, t5=6.90s, t6=7.10s (t1-tavg)^2 = (7.76-7.36)^2 = 0.16%(t2-tavg)^2 =(8.00-7.36)^2 = 0.4096%(t3-tavg)^2 =(7.40-7.36)^2 = 0.0016%(t4-tavg)^2 =(7.00-7.36)^2 = 0.1296%(t5-tavg)^2 =(6.90-7.36)^2 = 0.2116%(t6-tavg)^2 =(7.10-7.36)^2 = 0.0676
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Based on the two periods (from hand timed and ultrasonic sensor), find the value of 'k' they suggest from the physics and from the value of the hanging mass. hand time period is 1.472s and ultrasonic sensor time period is 1.44s
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