suppose you would like to double the speed of a wave on a string. by what multiplicative factor must you increase the tension?



Answer :

 The wave speed on a taut string is 
v = √(T/μ) 
where T is the tension and μ the mass per unit length of the string. 
Therefore, to double the wave speed on the string, the tension has to increase by a factor of 4. 

In your notation

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