1. The lowest note on a flute (an open pipe) is middle C (262 Hz). At 20C, the speed of sound in air is 343 m/s. How long is the flute? A flautist travels to a concert on a winter's day with their flute in the boot of their car where the temperature is OC. If they start playing without warming their instrument up, what will be the frequency of the lowest note they play? (The speed of sound at OC is 331m/s) To adjust the tuning, the flautist can move the head-piece of the instrument to slightly increase or decrease the length. By how many millimeters should they move it in order to play in tune.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter14: Superposition And Standing Waves
Section: Chapter Questions
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1. The lowest note on a flute (an open pipe) is middle C (262 Hz). At 20C, the speed of
sound in air is 343 m/s. How long is the flute?
A flautist travels to a concert on a winter's day with their flute in the boot of their car where
the temperature is OC. If they start playing without warming their instrument up, what will
be the frequency of the lowest note they play? (The speed of sound at OC is 331m/s)
To adjust the tuning, the flautist can move the head-piece of the instrument to slightly
increase or decrease the length. By how many millimeters should they move it in order to
play in tune.
2. A laser beam is shone through two slits, separated from each other by 0.5 mm, and
onto a screen 10 m away. The distance between successive bright spots on the screen is
1cm. What is the wavelength of the light?
State whether the maxima will move closer together or further apart: (i) if you move
the screen further away; (ii) if you move the slits closer together (iii) if you immerse
the whole apparatus in water (the speed of light is slower in water). Justify your answers.
Transcribed Image Text:1. The lowest note on a flute (an open pipe) is middle C (262 Hz). At 20C, the speed of sound in air is 343 m/s. How long is the flute? A flautist travels to a concert on a winter's day with their flute in the boot of their car where the temperature is OC. If they start playing without warming their instrument up, what will be the frequency of the lowest note they play? (The speed of sound at OC is 331m/s) To adjust the tuning, the flautist can move the head-piece of the instrument to slightly increase or decrease the length. By how many millimeters should they move it in order to play in tune. 2. A laser beam is shone through two slits, separated from each other by 0.5 mm, and onto a screen 10 m away. The distance between successive bright spots on the screen is 1cm. What is the wavelength of the light? State whether the maxima will move closer together or further apart: (i) if you move the screen further away; (ii) if you move the slits closer together (iii) if you immerse the whole apparatus in water (the speed of light is slower in water). Justify your answers.
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