A string of 1 m length clamped at both ends is plucked in the middle to generate a standing wave. Take the frequency of the first harmonic to be 10 Hz and the amplitude of the oscillations to be 2 cm. Consider the motion to be a simple harmonic one where appropriate. Calculate: i) The speed of the progressive waves that result in the standing wave. ii) The amplitude of the progressive waves that result in the standing wave.

A string of 1 m length clamped at both ends is plucked in the middle to generate a standing wave. Take the frequency of the first harmonic to be 10 Hz and the amplitude of the oscillations to be 2 cm. Consider the motion to be a simple harmonic one where appropriate. Calculate: i) The speed of the progressive waves that result in the standing wave. ii) The amplitude of the progressive waves that result in the standing wave.