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A long wire \( P Q R \) is made by joining two wircs \( P Q \) and \( Q R \) of equal radii. \( P Q \) has a length \( 4.8 \mathrm{~m} \) and mass \( 0.06 \mathrm{~kg} . Q R \) has length \( 2.56 \mathrm{~m} \) and mass \( 0.2 \mathrm{~kg} \). The wire \( P Q R \) is under a tension of \( 80 \mathrm{~N} \). A sinusoidal wave pulse of amplitudc \( 3.5 \mathrm{~cm} \) is sent along the wire \( P Q \) from the end \( P \). No power is dissipated during the propagation of the wave pulse. Calculate
(a) The time taken by the wave pulse to reach the other end \( R \).
(b) The amplitude of the reflected and transmitted wave pulse after the incident wave pulse crosses the joint \( Q \).
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