A cord of linear mass density \(0.360 \mathrm{~kg} / \mathrm{m}\) is attached to a harmonic oscillator that has a maximum output of \(200 \mathrm{~W}\).

(a) With the oscillator operating at this maximum power and the tension in the cord set at \(30.0 \mathrm{~N}\), a wave of amplitude \(8.00 \times 10^{-3} \mathrm{~m}\) is created. What is the minimum wavelength possible for a wave of this amplitude?

(b) What is the power output of the oscillator if the wave generated has the same amplitude but double the wavelength you calculated in part \(a\), and the tension is \(15.0 \mathrm{~N}\) ?