Question

Question: 23 of 66: If you increase the frequency of a sound wave four times, what will happen to its speed?Select one of the options below as your answer:. 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 1

Answer:

C. The speed will remain the same.

Explanation:

As we know that speed of sound wave is given as

$v = \sqrt{\frac{\gamma P}{\rho}}$

now this speed of sound depends on the properties of medium like

$\gamma$ = adiabatic constant of medium

P = pressure of medium

$\rho$ = density of medium

so here we can say that sound speed is totally independent of frequency of sound so if we change the frequency of sound then the speed of sound will remain the same. so correct answer will be

C. The speed will remain the same.

Answer 2

If you increase the frequency of a sound wave four times, the speed will increase four times. The correct option among all the options that are given in the question is the first option or option "A". This also shows the frequency and speed of the waves are directly proportional to each other. I hope it helps you.