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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?

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?

Grade:12

4 Answers

SAGAR SINGH - IIT DELHI
879 Points
11 years ago

Dear student,

v/x=v'/1.5x

v'=1.5v

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sapna .
14 Points
9 years ago

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

Maurya Sharma
13 Points
2 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
 
 
 
 
 
ankit singh
askIITians Faculty 614 Points
one year 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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