
Fill in the blank.
Loudness of a sound is proportional to ------- of the amplitude of the vibration producing the sound.
(A) Square
(B) half
(C) cube
(D) quarter
Answer
180k+ views
Hint: Loudness of the sound is the ability of the sound that makes the hearer able to hear it. It depends upon the amplitude of the sound wave. It is directly proportional to sound amplitude. If the amplitude of the sound is greater, then the sound is said to be loud to hear.
Useful formula:
The relation between the loudness and the amplitude is given by
$l = {A^2}$
Where $l$ is the loudness and $A$ is the amplitude of the sound wave.
Complete step by step solution:
Amplitude is the maximum height at which the wave propagates from the coordinate axis. Loudness of the sound deals with the hearing nature of the sound. The loudness is directly proportional to the square of the amplitude. That means when the amplitude of the sound becomes the power of two, then the loudness of the sound becomes the power of four.
$l = {A^2}$
The unit of the amplitude is metres. The unit of the loudness is decibel. If the loudness of the sound is greater than $80$ decibel, then the sound is assumed to be noise to the human ears and unpleasant in nature. Let us consider that the amplitude of the sound is $5\,m$ , then the loudness of the sound is ${5^2} = 25\,db$ .
Thus the option (A) is correct.
Note: Let us consider the examples and the values for the loudness of the sound.
1. Amplitude of normal breathing is $10\,dB$
2. Amplitude of the normal conversation is $30\,dB$
3. Amplitude of the traffic is $60\,dB$
4. Amplitude of the factory with many sounds is $80\,dB$
Useful formula:
The relation between the loudness and the amplitude is given by
$l = {A^2}$
Where $l$ is the loudness and $A$ is the amplitude of the sound wave.
Complete step by step solution:
Amplitude is the maximum height at which the wave propagates from the coordinate axis. Loudness of the sound deals with the hearing nature of the sound. The loudness is directly proportional to the square of the amplitude. That means when the amplitude of the sound becomes the power of two, then the loudness of the sound becomes the power of four.
$l = {A^2}$
The unit of the amplitude is metres. The unit of the loudness is decibel. If the loudness of the sound is greater than $80$ decibel, then the sound is assumed to be noise to the human ears and unpleasant in nature. Let us consider that the amplitude of the sound is $5\,m$ , then the loudness of the sound is ${5^2} = 25\,db$ .
Thus the option (A) is correct.
Note: Let us consider the examples and the values for the loudness of the sound.
1. Amplitude of normal breathing is $10\,dB$
2. Amplitude of the normal conversation is $30\,dB$
3. Amplitude of the traffic is $60\,dB$
4. Amplitude of the factory with many sounds is $80\,dB$
Recently Updated Pages
Class 11 JEE Main Physics Mock Test - FREE Online Mock Test Series 2025

Degree of Dissociation Important Concepts and Tips for JEE

Learn Conversion of Galvanometer into Ammeter and Voltmeter for JEE Main

JEE Main Chemistry Question Paper PDF Download with Answer Key

Electric Field Due To Uniformly Charged Ring - JEE Main 2025

JEE Electricity and Magnetism Important Concepts and Tips for Exam Preparation

Trending doubts
JEE Main 2025 Session 2: Application Form (Out), Exam Dates (Released), Eligibility, & More

JEE Main 2025: Derivation of Equation of Trajectory in Physics

Displacement-Time Graph and Velocity-Time Graph for JEE

Atomic Structure - Electrons, Protons, Neutrons and Atomic Models

Learn About Angle Of Deviation In Prism: JEE Main Physics 2025

What is Hybridisation in Chemistry?

Other Pages
NCERT Solutions For Class 11 Physics Chapter 2 Motion In A Straight Line - 2025-26

NCERT Solutions For Class 11 Physics Chapter 1 Units and Measurements - 2025-26

NCERT Solutions For Class 11 Physics Chapter 3 Motion In A Plane - 2025-26

JEE Advanced Marks vs Ranks 2025: Understanding Category-wise Qualifying Marks and Previous Year Cut-offs

Units And Measurements Class 11 Physics Chapter 1 CBSE Notes - 2025-26

Motion in a Straight Line Class 11 Physics Chapter 2 CBSE Notes - 2025-26
