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Grade 12Wave Motion

The extension in a string (obeying Hooke's law) is x. The speed of sound in the stretched string is v. If the extension in the string is increased to 1.5x, what would the speed of sound be?

Profile image of Naina Razdan
16 Years agoGrade 12
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4 Answers

Profile image of SAGAR SINGH - IIT DELHI
15 Years ago

Dear student,

v/x=v'/1.5x

v'=1.5v

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Askiitians Expert

Sagar Singh

B.Tech, IIT Delhi
Profile image of sapna .
14 Years ago

acc to me the correct answer is 1.22v as v is proportional to √x.

Profile image of Maurya Sharma
7 Years ago
Y=Fl/A∆l
 
F=(YA/l) ∆l 
F js Directly proportional to change in length
 
According to wave motion, v is Directly proportional to √F
 
Therefore, v is directly proportional to √∆l
 
V=kx 
V'=k√1.5x
V'=1.22v
 
 
 
 
 
Profile image of ankit singh
5 Years ago
 
 
Y=Fl/A∆l
 
F=(YA/l) ∆l 
F js Directly proportional to change in length
 
According to wave motion, v is Directly proportional to √F
 
Therefore, v is directly proportional to √∆l
 
V=kx 
V'=k√1.5x
V'=1.22v

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