# Waves, Sound and Light: Sound and Music

## Sound and Music: Audio Guided Solutions

#### Problem 25:

Middle C on a piano keyboard corresponds to a frequency of 262 Hz. Determine the length of an open-end air column whose fundamental matches this frequency. Use a value of 348 m/s as the speed of sound.

## Habits of an Effective Problem Solver

• Read the problem carefully and develop a mental picture of the physical situation. If necessary, sketch a simple diagram of the physical situation to help you visualize it.
• Identify the known and unknown quantities and record in an organized manner, often times they can be recorded on the diagram itself. Equate given values to the symbols used to represent the corresponding quantity (e.g., v = 345 m/s, λ = 1.28 m, f = ???).
• Use physics formulas and conceptual reasoning to plot a strategy for solving for the unknown quantity.
• Identify the appropriate formula(s) to use.
• Perform substitutions and algebraic manipulations in order to solve for the unknown quantity.