Standing Waves on a String: a Heavy Stone of Mass

question 39

Multiple Choice

Standing waves on a string: A heavy stone of mass m is hung from the ceiling by a thin 8.25-g wire that is 65.0 cm long. When you gently pluck the upper end of the wire, a pulse travels down the wire and returns 7.84 ms later, having reflected off the lower end. The speed of sound in the room is 344 m/s, and the stone is heavy enough to prevent the lower end of the wire from moving. If the wire is vibrating in its second overtone, what is the wavelength of the sound it will produce?

• A) 0.217 m
• B) 0.433 m
• C) 0.650 m
• D) 0.899 m
• E) 1.35 m

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Definitions:

F-Tests

A group of statistical tests that compute the ratio of variances to analyze the statistical significance of the differences between means.

Nondirectional

Pertains to hypotheses or tests that do not specify a direction of effect but instead test for any difference or association.

Type II Error

The probability of accepting a null hypothesis when it is false.

Multiple T Tests

Statistical tests used to compare the means of two groups on several different dependent variables.