A vibrating string produces the highest pitch if it's;

A) loose and long
B) loose and short
C) tight and long
D) tight and short

short, tight strings sing with the highest pitch.

Get a strong rubber band. Hold it between your two hands. Now have someone pluck it. Stretch and repeat the pull. Which frequency is higher. Repeat with a shorter portion of the rubber band. Then you can answers this question. The idea in this type question is to make you think a little instead of depending on someone to give you the answers.

To determine which option produces the highest pitch for a vibrating string, let's first understand how pitch is affected by the characteristics of the string.

The pitch of a vibrating string primarily depends on two factors: tension and length.

Tension: Higher tension on the string leads to a higher pitch, while lower tension produces a lower pitch. When a string is tightened or stretched, it has more tension and tends to vibrate faster, resulting in a higher-pitched sound.

Length: A shorter length of string produces a higher pitch, while a longer length generates a lower pitch. A string with less vibrating length has fewer segments to vibrate, which causes it to oscillate quicker and produce a higher pitch.

Given these factors, we can determine that the answer is option C) tight and long. A string that is tight (higher tension) and long (greater length) will produce the highest pitch since it has both maximum tension and minimum length.