Correct Answer - Option 2 : 1/β
Saturation current (Idss) for a MOSFET is given by:
\({I_{dss}} = \frac{{{C_0}\mu }}{2}\times\frac{W}{L}\times{\left( {{V_{gs}} - {V_t}} \right)^2}\)
Co = Capacitance of the insulating material
W and L are the dimensions of the insulating layer
Vgs = Threshold voltage
Both Vgs & Vt are scaled by (1/β)
Both W & L scaled by (1/α)
C0 is scaled by ‘β’
∴ Idss is scaled by:
\({I_{dss}} \Rightarrow β \times \frac{{1/\alpha }}{{1/\alpha }} \cdot {\left( {\frac{1}{β }} \right)^2}\)
⇒ 1/β