+91-8076753736[email protected]
logo
logo
-->

Mechanical Properties Of Fluids

Question
CBSEENPH11018951
Wired Faculty App

Two plane sonic waves of intensity I1 and I2 (I1 > I2) are travelling in a homogeneous media. A detector moving perpendicular to right bisector of two source records the intensity varying between 20db to 27.6db. Find I1 and I2.

Solution
Loudness and intensity are related as,
straight L space equals space 10 space log space open parentheses straight I over straight I subscript straight o close parentheses dB space where space straight I subscript straight o space equals space 10 to the power of negative 12 end exponent space straight W divided by straight m squared space straight I space equals space straight I subscript straight o space Antilog space left parenthesis straight L over 10 right parenthesis space space space space space space... space left parenthesis 1 right parenthesis thin space Given space that comma space straight L subscript max space equals space 27.6 space db comma space space space space space space straight L subscript min space equals space 20 space db space therefore space straight I subscript max space equals space straight I subscript 0 space Antilog space open parentheses fraction numerator 27.60 over denominator 10 end fraction close parentheses space equals space 576 space straight I subscript straight o space and space straight I subscript min space equals straight I subscript straight o space Antilog space open parentheses 20 over 10 close parentheses space equals space 100 space straight I subscript straight o space Also comma space straight I subscript max space equals space open parentheses square root of straight I subscript 1 end root space plus space square root of straight I subscript 2 end root close parentheses squared space comma space and space straight I subscript min space equals space space open parentheses square root of straight I subscript 1 end root space minus space square root of straight I subscript 2 end root close parentheses squared space therefore space space open parentheses square root of straight I subscript 1 end root space plus space square root of straight I subscript 2 end root close parentheses squared space equals space 576 space straight I subscript straight o space space space space space space space space space... space left parenthesis 2 right parenthesis thin space and open parentheses square root of straight I subscript 1 end root space minus space square root of straight I subscript 2 end root close parentheses squared space equals space 100 space straight I subscript straight o space space space space space space space space space space space space space space space space... space left parenthesis 3 right parenthesis Now comma space solving space left parenthesis 2 right parenthesis space and space left parenthesis 3 right parenthesis comma space we space get straight I subscript 1 space equals space 289 space space straight I subscript straight o space equals space 289 space cross times space 10 to the power of negative 12 end exponent space straight W divided by straight m squared space straight I subscript 2 space equals space 49 space space straight I subscript straight o space equals space 49 space cross times 10 to the power of negative 12 end exponent space straight W divided by straight m squared space

Some More Questions From Mechanical Properties of Fluids Chapter

Is it logical to say that wave motion is a process of propagation of mass?

What is common property of all types of waves?

What are different types of wave motions?

Define transverse wave motion.

Define longitudinal wave motion.

Which of the two waves - elastic waves or electromagnetic waves does need any material media for its propagation?

What is sound?

How sound is produced?

Can sound travel in vacuum?

Can two persons hear each other on the moon? Explain.

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation