you blow across the open mouth of an empty test tube and produce the fundamental standing wave in the 14.0-cmcm-long air column in the test tube, which acts as a stopped pipe. the speed of sound in air is 344 m/sm/s.

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Answer 1

When you blow across the open mouth of an empty test tube, you create a standing wave in the 14.0 cm-long air column inside the tube. This column of air acts as a stopped pipe. The speed of sound in air is given as 344 m/s. the frequency of the fundamental standing wave in the test tube is 614.3 Hz.

To find the frequency of the fundamental standing wave in the test tube, we can use the formula:
frequency = speed of sound / wavelength

Since the test tube is acting as a stopped pipe, we know that the length of the air column is equal to a quarter of the wavelength of the fundamental standing wave.
So, the wavelength of the fundamental standing wave in the test tube is four times the length of the air column, which is 4 * 14.0 cm = 56.0 cm.

Now, we can substitute the values into the formula:
frequency = 344 m/s / 56.0 cm

Before we can continue, we need to convert the wavelength from centimeters to meters:
56.0 cm = 0.56 m

Now, we can substitute the values and solve for the frequency:
frequency = 344 m/s / 0.56 m = 614.3 Hz

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Related Questions

Why did it take more generations of complete selection to reduce q from 0.1 to 0.01 (a 0.09 change) compared that for a 0.5 to 0.1 reduction (a larger, 0.4 change)? explain.

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In conclusion, the starting frequency of a trait determines how many generations of complete selection are needed to reduce its frequency. A higher starting frequency allows for a faster reduction, while a lower starting frequency requires more generations for the same amount of change.

The reason it took more generations of complete selection to reduce q from 0.1 to 0.01 compared to reducing it from 0.5 to 0.1 is because of the starting frequencies of q.
When starting with a higher frequency of q, such as 0.5, there is a larger pool of individuals with the desired trait. This means that there are more individuals available for selection and reproduction, which can lead to a faster reduction in the frequency of q.
In contrast, starting with a lower frequency of q, such as 0.1, means that there are fewer individuals with the desired trait. This smaller pool of individuals results in a slower rate of selection and reproduction, leading to a slower reduction in the frequency of q.
To put it simply, it is easier and faster to reduce a trait that is more common in a population compared to one that is less common.
In conclusion, the starting frequency of a trait determines how many generations of complete selection are needed to reduce its frequency. A higher starting frequency allows for a faster reduction, while a lower starting frequency requires more generations for the same amount of change.

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