(8%) Problem 4: Suppose a photon has a wavelength of 2.3 um 25% Part (a) Calcula
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(8%) Problem 4: Suppose a photon has a wavelength of 2.3 um 25% Part (a) Calculate the momentum of the photon in kg·m/s 25% Part (b) Find the speed, in meters per second, of an electron having the same momentum 25% Part (c) What is the kinetic energy of the electron in joules? 25% Part (d) How does it compare to the energy of a photon? ErlEe? Grade Summary Deductions Potential 0% 100% Submissions sin tan0 cos cotanasin0 acosO atanO acotan0 sinhO cosh) tanh0 cotanh) o Degrees Radians Attempts remaining: 7 (5% per attempt) detailed view 2 3 0 END BACKSPACEDCLEAR Submit Hint I give up! Hints: 1 % deduction per hint. Hints remaining: 1 Feedback: 1% deduction per feedback.Explanation / Answer
a) momentum = h / lambda
= 6.63 * 10-34 / 2.3 * 10-6= 2.88 * 10-28 kg.m/s
b) speed = P / m
= 2.88 * 10-28 / 9.1 * 10-31= 316 m/s
c) Kinetic energy = 1/2 m v2
= 1/2 * 9.1 * 10-31 * 3162= 4.54 * 10-26 J
d) Ep = h c / lambda = 1.989 * 10-25 / 2.3 * 10-6 = 8.65 * 10-20
ratio = 8.65 * 10-20 / 4.54 * 10-26 = 1.9 * 106
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