GATE EC 2001 Set 1 Q2.5 — BJT and MOSFET Amplifiers

An npn $\text{BJT}$ has $\mathrm{gm}=38 \mathrm{~m} \mathrm{~A} / \mathrm{V}, \mathrm{C}_{u}=10^{-14} \mathrm{~F}$, $C_{\pi}=4 \times 10^{-13} \mathrm{~F}$, and $D C$ current gain $\beta_{0}=90$. For this transistor $f_{\mathrm{T}}$ and $f_{\beta}$ are