Chem 113A HW1 - Solutions

Chem 113A HW1 - Solutions - Chem 113A Homework Solutions...

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Chem 113A Homework Solutions Week 1 1) a. Near Infra-Red b. ? = ℎ? 𝜆 = 1240𝑒𝑉/?? 1064?? = 1.17eV = 1.87 × 10 −19 ? c. 0.5 J 1.87×10 −19 J = 2.68 × 10 18 photons per pulse d. 0.5 J × 10 s −1 = 5 W e. 6.02×10 23 ?ℎ????? 2.68 × 10 18 ?ℎ?????/????𝑒 × 1 ? 10 ????𝑒? × 1 ℎ??? 3600? = 6.24 ℎ???? 2) The distance between center of light bands is given by 𝑦 ? = ?𝜆? ? where m is the order, L is the distance to the screen and d is the slit spacing. The distance between the central and first maxima is therefore: 𝑦 ? = 1(600 × 10 −9 ?)(2.00?) 0.100 × 10 −3 ? = 0.012 ? 3) The mathematical function we wish to fit to the data is the mathematical description of the photoelectric effect. ?? = ℎ? 𝜆 − 𝜙 Thus we wish to plot the kinetic energy vs. 1/wavelength, the slope will be hc and the work function will be our intercept! Indeed as expected our slope is close to the expected value of 1240 eV/nm and we determine that the work function of potassium is 2.5 eV. y = 1338.5x - 2.5589 0 0.5 1 1.5 2 2.5 3 0.002 0.0025 0.003 0.0035 0.004 0.0045 Kinetic Energy (eV) 1/Wavelength (nm-1)

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4) An electron is held in a circular orbit by the Coulomb force. Therefore: ?
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