Question

select the correct answer. an audiometer is a machine that tests a persons hearing by producing tones across the speech spectrum. during a hearing test, an audiometer produces a pure tone with a frequency of 2,000 hertz (cycles/second). the given function represents the change in pressure, p(t), in millipascals, relative to the normal air pressure in the room as a function of time, t, in seconds, after the pure tone is produced. p(t)=2 sin(4,000πt) what is the change in air pressure when the pure tone is produced? a. -2 millipascals b. 1 millipascals c. 0 millipascals d. 2 millipascals

Explanation:

Step1: Recall the general form of a sine - wave function

The general form of a sine - wave is $y = A\sin(\omega t+\varphi)$. In the given function $p(t)=2\sin(4000\pi t)$, the amplitude $A$ represents the maximum displacement from the equilibrium position. Here, the function $p(t)$ represents the change in air - pressure as a function of time, and the amplitude of the sine function gives the maximum change in air - pressure.

Step2: Identify the amplitude of the given function

For the function $p(t)=2\sin(4000\pi t)$, comparing it with $y = A\sin(\omega t+\varphi)$, we have $A = 2$. The amplitude of the sine function $p(t)$ is 2, which means the maximum change in air - pressure is 2 millipascals.

Answer:

D. 2 millipascals