GATE Electronics and Communications (EC) 2014 Shift 1 Solved Paper

The input impedance of a $\frac{\mathit{\lambda }}{8}$ section of a lossless transmission line of characteristic impedance 50 Ω is found to be real when the other end is terminated by a load Z_L (= R + jX)Ω. If X is 30Ω, the value of R (in Ω) is ______