Assignment 4 Solution

# Assignment 4 Solution - PHYS-232 Heat and Waves - Homework...

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Unformatted text preview: PHYS-232 Heat and Waves - Homework 4 Winter Semester 2008 Due on Tuesday, February 19, 2008 1. Problem 1.4.1 in the class note (modified). The HCl molecule can be described as two atomic masses ( 1 H and 35 Cl) coupled by a spring with spring constant k =481 N/m. What is the frequency of vibration for HCl? By what factor does this frequency change if hydrogen is replaced by deuterium? Answer: μ = Mm M + m = 35 36 m u , therefore the angular frequency ω = radicalBig k μ = radicalBig k M + m Mm = radicalBig 36 k 35 m u = radicalbigg 36 × 481 N/m 35 × 1 . 66 × 10- 27 kg = 5 . 5 × 10 14 rad / s = 8 . 8 × 10 13 Hz. If changed to Deuterium, μ = 70 37 m u , ω = 3 . 9 × 10 14 rad/s , 3 . 9 5 . 5 = 0 . 71. So the frequency would change by a factor of 0.71 . 2. Solve problem 1.3.1 of the class notes. Answer: ω = radicalBig k/m = radicalBig . 8 / . 1 = 2 . 8 rad/s, therefore T = 2 π ω = 6 . 28 / 2 . 8 = 2 . 22s....
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## This note was uploaded on 04/29/2008 for the course PHYS 232 taught by Professor Vinals during the Winter '08 term at McGill.

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Assignment 4 Solution - PHYS-232 Heat and Waves - Homework...

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