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
- $f_{\mathrm{T}}=1.64 \times 10^{8} \mathrm{~Hz}$ and $f_{\mathrm{\beta}}=1.47 \times 10^{10} \mathrm{~Hz}$
- $f_{\mathrm{T}}=1.47 \times 10^{10} \mathrm{~Hz}$ and $f_{\beta}=1.64 \times 10^{8} \mathrm{~Hz}$
- $f_{\mathrm{T}}=1.33 \times 10^{12} \mathrm{~Hz}$ and $f_{\beta}=1.47 \times 10^{10} \mathrm{~Hz}$
- $f_{\mathrm{T}}=1.47 \times 10^{10} \mathrm{~Hz}$ and $f_{\beta}=1.33 \times 10^{12} \mathrm{~Hz}$