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Equation of travelling transverse wave in a string is

....................... (1)

where A is amplitude of wave , λ is wavelength and ω is angular frequency.

Given transverse wave in string is

  .......................(2)

By comparing eqn.(1) and (2) , we get amplitude  A = 1 cm , wavelength λ = 1 m  and angular frequency ω = 20π rad/s

Energy of transverse wave

where μ = 0.01 kg/m is linear mass density , i.e., mass per unit length of the string

E = 0.5 × 0.01 × (0.01)² × (20π)² × 1  J  = 2 × 10^-3 J = 2 mJ