For a wave traveling in a string,by what factor would the tension need to be increased to quinary the wave speed?

A) 2.2
B) 5
C) 25
D) 125
E) 625

Question

For a wave traveling in a string,by what factor would the tension need to be increased to quinary the wave speed?
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A) 2.2
B) 5
C) 25
D) 125
E) 625

Quizplus · Accepted Answer

The wave speed in a string is proportional to the square root of the tension and inversely proportional to the square root of the linear density (mass per unit length) of the string. Therefore, if we want to quintuple (multiply by 5) the wave speed, we need to increase the tension by a factor of 5^2 (25), assuming the linear density remains constant. Therefore, the correct answer is C) 25.

For a Wave Traveling in a String,by What Factor Would