GATE EC 2003 Set 1 Q63 — LTI Systems

Data for Q. 63-64 are given below. Solve the problems and choose the correct answers.
The system under consideration is an RC low-pass filter (RC-LPF) with $R=1.0 \mathrm{k} \; \Omega \mathrm{k}$ and $\mathrm{C}=1.0 \; \mu \mathrm{F}$

Let $\mathrm{H}(f)$ denote the frequency response of the RC-LPF. Let $f_{1}$ be the highest frequency such that $0 \leq|f| \leq f_{1^{\prime}} \frac{\left|\mathrm{H}\left(f_{1}\right)\right|}{\mathrm{H}(0)} \geq 0.95$. Then $f_{1}($ in $\mathrm{Hz})$ is