Right answer is (d) 20 kΩ
Best explanation: Here, the output voltage is 4 V.
So, ic = 4/2000
= 2 mA
The signal current through the base, IB = ic/β
= 0.013 mA
The dc base current = 0.13 mA
Assuming here, that VBE = 1.4 V, we get
RB = (4.0-1.4)/0.13
= 20 kΩ.