Correct Answer - Option 3 : (A) is true, but (R) is false
Short-channel effect in MOSFET:
If the channel length of MOSFET becomes comparatively equal to the depletion layer widths of source and drain junction then it is called that MOSFET suffers from the short-channel effect.
Due to this effect, the following parameters are affected
1. Mobility of charge carrier in the channel
2. The threshold voltage changed due to a shorter length of the channel.
3. Drain current also changed as threshold voltage changed
4. Channel length modulation takes place.
The cut-off frequency of a MOSFET is given as:
\(f_H=\frac{1}{2\pi(R_{Sig}||R_G)(C_{gs}+C_M)}\)
Where,
Cgs = gate to source capacitance
Cgd = gate to drain capacitance
CM = Miller capacitance and it is given as:
CM = Cgd(1 + gmRL')
∴The cut-off frequency of a MOSFET is dependent on the gate to source and gate to drain capacitance
Hence, (A) is true, but (R) is false.