I didnot understand the relation between speed and V.

Asked by rinkeynegi1983 | 26th Apr, 2020, 03:05: PM

Expert Answer:

I assume that you have difficulty in understanding the relation between speed of sound and frequency denoted by letter nu. (this letter is not 'V', it is a greek letter pronounced as 'nu'). This 'nu' represents frequency of sound. 
 
Wavelength : -The distance travelled by a wave in one time period of vibration of the particle of the medium is called the wavelength of the wave. It is denoted by ‘λ’. Its SI unit is metre (m).
 
We know, 
 
S p e e d space o f space s o u n d comma space v space equals space fraction numerator d i s tan c e space t r a v e l l e d space b y space s o u n d space w a v e over denominator T i m e space t a k e n end fraction
rightwards double arrow v space equals space lambda over T space
... (1) 
The number of oscillations made by the particle of the medium per unit time is called the frequency of the wave. It is denoted by ‘n’, ‘f’ or ‘nu’ 
 
Thus, 
 
nu space equals space 1 over T
w h e r e comma space
T space minus space t i m e space p e r i o d ... (2)   
 
From (1) and (2) 
 
We can say, 
 
v space equals space nu space lambda space

o r space
w e space c a n space w r i t e space i t space u sin g space a n o t h e r space s y m b o l space o f space f r e q u e n c y space i. e. space apostrophe n apostrophe space w h i c h space m e a n s space s a m e space a s apostrophe space nu apostrophe space

v space equals space n lambda space

T h u s comma space
s p e e d space o f space s o u n d space left parenthesis v right parenthesis space equals space f r e q u e n c y space left parenthesis n space o r space nu right parenthesis space space cross times space w a v e l e n g t h space o f space s o u n d space left parenthesis lambda right parenthesis 

Answered by Shiwani Sawant | 26th Apr, 2020, 04:43: PM