GATE Electronics and Communications (EC) 2016 Shift 2 Solved Paper

Resistor R₁ in the circuit below has been adjusted such that I₁ = 1 mA. The bipolar transistors Q₁ and Q₂ are perfectly matched and have very high current gain, so their base currents are negligible. The supply voltage V_CC is 6 V. The thermal voltage kT/q is 26 mV.

The value of R₂ (in Ω) for which I₂ = 100 μA is ________