List of top Signals and Systems Questions on IIR and FIR filter asked in GATE BM

In the block diagram shown below, an infinite tap FIR filter with transfer function \( H(z) = \frac{Y(z)}{X(z)} \) is realized. If \[ H(z) = \frac{1}{1 - 0.5z^{-1}}, \] the value of \( \alpha \) is \(\underline{\hspace{2cm}}\)