Physics218Assign3 - ASSIGNMENT 3 Physics 218 Reading Pain...

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ASSIGNMENT 3 Physics 218 Due Feb 15 Spring 2008 Reading: Pain Ch 5. Labs start next week! Prelabs due at beginning of lab session. 1. Group and phase velocities I: Don’t just give a one-word answer: justify what you write! (a) One way to measure the velocity of sound in air is to clap your hands and determine the time delay between the clap and an echo from a known reflector. Another way is to measure the length of a mailing tube that resonates at a known frequency (and correct for end effects.) Do these methods determine the phase or the group velocity? (b) One way to measure the velocity of light is to send a chopped light beam through the air from one distant mountain peak to another, reflect it from a mirror, and time the round trip. Another way is to find the length of a resonant cavity oscillating in a known mode at a known frequency. Do these methods determine the phase velocity or the group velocity? 2. Group and phase velocities II: The dispersion relation for sinusoidal electromagnetic waves
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