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ee2_fall07_HW1 - A(Angstrom units The velocity of light is...

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Electrical Engineering 2 Fall 2007 Homework 1 (due on October 5, 2007) 1. Calculate the De Broglie wavelength of a ball of mass equal to 1 kg and moving with a speed of 2 m/s. 2. Consider an electron which has a kinetic energy of ‘V’ eV. Derive an expression for the De Broglie wavelength in terms of V 3. In a vacuum tube, electrons reach the anode which is connected to a voltage source of 3 volts. Assuming that the electrons leave the cathode with zero velocity, what is the De Broglie wavelength when they reach the anode? 4. What is the momentum of a photon of light with a wavelength of 5000
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Unformatted text preview: A (Angstrom units). The velocity of light is c = 3 x 10 8 m/s. 5. A quantum particle is confined to a rectangular box of dimension along the x-axis equal to 10 A . What is the minimum uncertainty in the x-component of momentum? 6. The uncertainty in the measurement of the energy level of an atomic particle is 10-6 second. What is the accuracy to which energy can be measured independent of how precise the measuring equipment can measure? Constants: h = 6.63 × 10-34 m 2 kg / s m e = 9.11 × 10-31 kg c = 3 × 10 8 m/s q = 1.60 × 10-19 coulombs...
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