Beats: the Tension in Each of Two Strings Is Adjusted

question 102

Multiple Choice

Beats: The tension in each of two strings is adjusted so that both vibrate at exactly 666 Hz. The tension in one of the strings is then increased slightly. As a result, six beats per second are heard when both strings vibrate. What is the new frequency of the string that was tightened?

• A) 672 Hz
• B) 660 Hz
• C) 669 Hz
• D) 663 Hz

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Definitions:

Output Q₃

A specified level of output or production, often denoted as Q₃ to represent a particular point on a supply or production curve.

Diseconomies of Scale

The phenomenon where increasing production leads to an increase in the average costs of production, opposite of economies of scale.

Economies of Scale

The cost advantages that enterprises obtain due to size, output, or scale of operation, with cost per unit of output generally decreasing with increasing scale.

Constant Returns to Scale

The condition where increasing all inputs by a certain factor leads to an increase in output by the same factor, indicating linear scalability in production processes.