Question

The amplitude of the vibration of an ordinary conversation between two persons is approximately
A) ${10^{ - 7}}$ meters.
B) ${10^{ - 9}}$ meters.
C) ${10^{ - 11}}$ meters.
D) ${10^{ - 13}}$ meters.

Answer 1

Hint: In this question, we discuss the amplitude of vibration and define it for various waves and how its measured in transverse wave and longitudinal wave and then find out the amplitude of the conversation of an ordinary conservation between two persons.

Complete step by step solution:
If we vibrate a body a point from the body moves from its equilibrium position. So the maximum distance moved by the point from its equilibrium position is termed as amplitude. It is mainly the one half length of the vibration length. Since vibration waves are formed by vibrating a body, then their amplitude is proportional to the amplitude of the source. The amplitude of vibration is mainly measured in Pascal or Newton per meter square.
We can write the mathematical expression of amplitude of vibration as,
$y\left( {x,t} \right) = A\sin 2\pi \left( {ft - \dfrac{x}{\lambda }} \right)$
Here, $A$ is the amplitude,
The amplitude of vibration determines the intensity of the wave, which is mainly termed as loudness.
There are two types of wave-transverse wave and longitudinal wave. In case of transverse wave amplitude is the maximum displacement of any point in its string when the string is in equilibrium and in case of longitudinal wave amplitude is the maximum displacement of a particle from its equilibrium position.
So, in case of ordinary conversation between two persons the amplitude of vibration is approximately ${10^{ - 9}}$ meters.

Hence, option (B) is the correct answer.

Note: We can say that the loudness is proportional to the amplitude of the vibration if the amplitude of vibration is large then loudness will be higher, and if the amplitude of vibration is small then loudness will be less.