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

Question

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 .

TestHub · Accepted Answer

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

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