GATE EC 2003 Set 1 Q64 — LTI Systems

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

Let $t_{g}(f)$ be the group delay function of the given RC-LPF and $f_{2}=100 \mathrm{~Hz}$. Then $t_{g}\left(f_{2}\right)$ in $\mathrm{ms}$, is