A body is suspended from a string of length 1 m and mass 2 g . The mass of the body to produce a fundamental mode of 100 Hz frequency in the string is (Acceleration due to gravity = 10 m s - 2 )

Step-by-step solution

Mass per unit length of the given string is μ = m l = 2 × 10 - 3 1 = 2 × 10 - 3   kg   m - 1 Speed of transverse waves on a string is given by, v = T μ = m g μ Fundamental frequency on a string fixed at both ends is given by, f 0 = v 2 l = m g μ 2 l ⇒ m = 4 l 2 f 0 2 μ g = 4 × 1 × 10 4 × 2 × 10 - 3 10 = 8   kg