Assessment: Vibration of Strings, Resonance

How does a stationary wave form?

Why does a closed pipe of a given length produce a lower fundamental frequency than an open pipe of the same length?

Why does sound intensity decrease as you move farther from a speaker?

Adjacent nodes in a stationary wave are 0.25 m apart. Find the wavelength.

A tuning fork of 480 Hz resonates first in a closed tube at a length of 0.175 m. Find the speed of sound.

A guitarist replaces a string with a thicker one (larger μ), keeping length and tension the same. What happens to the pitch?

An open organ pipe needs a fundamental frequency of 170 Hz (v = 340 m/s). Find the required pipe length.

Why does pressing a fret on a guitar (shortening the vibrating string length) raise the pitch?

Why does the pitch change as you pour liquid into (or out of) a bottle while blowing across its top?

An open pipe and a closed pipe have the same length. What is the ratio of the open pipe's fundamental frequency to the closed pipe's fundamental frequency?