Assignment 4 Solution

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

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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....
View Full Document

This note was uploaded on 04/29/2008 for the course PHYS 232 taught by Professor Vinals during the Winter '08 term at McGill.

Page1 / 2

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

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online