A string is under tension of 180 N and mass per unit length 2 10⁻³ Kg / m . It produces two consecutive resonant frequencies with a tuning fork, which are 375 Hz and 450 Hz . The mass of the string is

Step-by-step solution

aligned Fundamental frequency & = f ₂- f ₁ & =450-375 & =75 ~Hz aligned aligned f & = 1 2 ~L ~T 75 & = 1 2 ~L 180 2 10⁻³ ~L & =2 ~m & = m ~L ~m & =2 10⁻³ 2 & =4 gram aligned ...where is mass per unit length