select the correct answer. if you increase the frequency of a sound wave four times, what will happen to its…

select the correct answer. if you increase the frequency of a sound wave four times, what will happen to its speed? a. the speed will increase four times. b. the speed will decrease four times. c. the speed will remain the same. d. the speed will increase twice. e. the speed will decrease twice.

select the correct answer. if you increase the frequency of a sound wave four times, what will happen to its speed? a. the speed will increase four times. b. the speed will decrease four times. c. the speed will remain the same. d. the speed will increase twice. e. the speed will decrease twice.

Answer

Answer:

C. The speed will remain the same.

Explanation:

Step1: Recall wave - speed formula

The speed of a wave $v = f\lambda$, where $v$ is speed, $f$ is frequency and $\lambda$ is wavelength.

Step2: Analyze the relationship

When the frequency $f$ is increased, the wavelength $\lambda$ decreases in such a way that their product $v = f\lambda$ remains constant for a given medium. The speed of a sound wave in a particular medium depends on the properties of the medium (such as density and elasticity) and not on the frequency of the wave. So, if the medium remains the same, increasing the frequency four - times will not change the speed of the sound wave.