Two strings (A, B) having linear densities \(\mu_A = 2 \times 10^{-4}\) kg/m and, \(\mu_B = 4 \times 10^{-4}\) kg/m and lengths \(L_A = 2.5\) m and \(L_B = 1.5\) m respectively are joined. Free ends of A and B are tied to two rigid supports C and D, respectively creating a tension of 500 N in the wire. Two identical pulses, sent from C and D ends, take time \(t_A\) and \(t_B\), respectively, to reach the joint. The ratio \(t_A/t_B\) is: