The fundamental frequency of vibration of a string between two rigid support is 50 Hz . The mass of the string is 18 g and its linear mass density is 20 g m - 1 . The speed of the transverse waves so produced in the string is _______ m s – 1 .

Step-by-step solution

The fundamental frequency is f = 50   Hz . The length of the string is l = λ 2 Linear mass density is μ = m l = 20   g   m - 1 Using v = f λ v 2 l = 50 ⇒ v = 100 × l = 100 × 18 20 = 90   m   s - 1