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ICSE Class 10 Answered

Why are the strings of different thicknesss provided on a stringed instrument
Asked by lovemaan5500 | 13 Mar, 2018, 07:22: AM
answered-by-expert Expert Answer
The frequency of sound wave produced due to a string is given by 
 
begin mathsize 12px style straight V equals square root of straight T over straight mu end root space... left parenthesis 1 right parenthesis
Where space apostrophe straight T space apostrophe is space tension space in space straight a space string
apostrophe straight mu apostrophe space is space the space mass space per space unit space length
straight mu equals ρπr squared
where
apostrophe straight rho apostrophe space is space the space density space
space apostrophe straight r apostrophe space is space the space cross space sectional space radius space of space the space string comma
we space can space say space that space apostrophe straight r apostrophe space here space is space simply space the space thickness space of space string.
straight f equals fraction numerator straight V over denominator 2 straight L end fraction space... left parenthesis 2 right parenthesis
using space left parenthesis 1 right parenthesis space and space left parenthesis 2 right parenthesis
straight f equals fraction numerator 1 over denominator 2 straight L end fraction square root of straight T over straight mu end root
straight f equals fraction numerator 1 over denominator 2 straight L end fraction square root of straight T over ρπr squared end root
straight f equals 1 over straight r cross times fraction numerator 1 over denominator 2 straight L end fraction square root of straight T over ρπ end root
The space above space equation space indicates space the space relationship space that
straight f space straight alpha 1 over straight r end style
 
Thus, as the thickness increases the frequency of the sound wave decreases.
So strings of different thicknesss provided on a stringed instrument so that sound waves of different frequencies can be obtained.
Therefore, setting up a good musical instrument. 
Answered by Abhijeet Mishra | 13 Mar, 2018, 01:58: PM
ICSE 10 - Physics
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ICSE 10 - Physics
Asked by lovemaan5500 | 13 Mar, 2018, 07:37: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Physics
Asked by lovemaan5500 | 13 Mar, 2018, 07:22: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
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