[UPSC CSE 2021] Semiconductors/Solar cell (Q169, 20M)

An $n-p-n$ transistor with $\beta = 49$ is used in common-emitter amplifier mode with $V_{cc} = 10\ \mathrm{V}$ and $R_L = 2\mathrm{k}\Omega$ . If a $100\mathrm{k}\Omega$ resistor is connected between the collector and the base of the transistor, calculate the quiescent collector current. Assume $V_{BE} = 0$ .