Mersenne Law

Mersenne is studying factors that influence frequency which will work in string and he found as follow :

• Length, the longer one will decrease frequency
• Diameter, the smaller one will increase frequency
  Diameter could be refer to area
• Tension, the bigger one will increase frequency
• Density, the smaller one will increase frequency

Mathematically can be stated as

Where T = tension, L = length, A = area and p = density
If the area refer to diameter, area will be the same as d^2 (where d stands for diameter)

Work example : A man want to increase the frequency twice than previous.

• What is the comparison of the length of previous and after it is increased? (Answer 2 : 1 )
• What is the comparison of the diameter? (Answer 2 : 1)
• What is the comparison of the density? (Answer 4 : 1)
• What is the comparison of the tension? (Answer 4 : 1)