Question

By what fraction will the frequencies produced by a wind instrument change when air temperature goes from 10.0ºC to 30.0ºC? That is, find the ratio of the frequencies at those temperatures.

a) 1.07
b) 1.14
c) 1.21
d) 1.28

Answer 1

To find the ratio of frequencies produced by a wind instrument when the air temperature changes from 10.0ºC to 30.0ºC, we can use the equation: R = (f2)/(f1). Using the given temperatures, we can calculate the ratio as approximately 1.73.

Step-by-step explanation:

To find the ratio of frequencies produced by a wind instrument when the air temperature changes from 10.0ºC to 30.0ºC, we can use the equation:

R = (f2)/(f1)

Where R is the ratio of frequencies and f2 and f1 are the frequencies at the respective temperatures.

In this case, we are given the temperature change, so we can calculate the ratio as follows:

R = (30.0°C/10.0°C)^(1/2)

Using a calculator, we find that R is approximately 1.73.

The correct answer is not provided in the options given. Please double-check the options or contact your teacher for clarification.