Standing Waves on a String: Two Violinists Are Trying to Tune

question 3

Multiple Choice

Standing waves on a string: Two violinists are trying to tune their instruments in an orchestra. One is producing the desired frequency of 440.0 Hz. The other is producing a frequency of 448.4 Hz. By what percentage should the out-of-tune musician change the tension in his string to bring his instrument into tune at 440.0 Hz?

• A) +1.9%
• B) -1.9%
• C) +3.7%
• D) -3.7%
• E) +8.4%

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Definitions:

Pure Monopolist

A single seller in a market who has the power to control market prices and output without any competition.

Unregulated Monopoly

A market structure where a single seller controls the entire market for a product or service, with no governmental restrictions in place.

Pure Competition

A market structure characterized by a large number of small firms, a homogeneous product, free entry and exit, and perfect information.

Profit-maximizing

A company's goal to achieve the highest possible profit where the marginal cost of production is equal to the marginal revenue from sales.