Doppler Effect: a Carousel That Is 5

question 82

Multiple Choice

Doppler effect: A carousel that is 5.00 m in radius has a pair of 600-Hz sirens mounted on posts at opposite ends of a diameter. The carousel rotates with an angular velocity of 0.800 rad/s. A stationary listener is located at a distance from the carousel. The speed of sound is 350 m/s. The longest wavelength reaching the listener from the sirens is closest to

• A) 57.0 cm.
• B) 57.7 cm.
• C) 58.3 cm.
• D) 59.0 cm.
• E) 59.6 cm.

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Definitions:

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, calculated as the square root of the variance.

Variance

A measure of the dispersion of a set of data points in a population, showing how much the data diverge from the average value.

Degrees of Freedom

The number of independent values or quantities which can vary in the calculation of a statistic, typically in the context of hypothesis testing.

F Distribution

A continuous probability distribution that arises frequently as the null distribution of a test statistic, especially in the analysis of variance (ANOVA).