The correct option is A Both A and R are true, and R is the correct explanation of A.
In the transistor, unless the current flows in the base circuit, no current can flow in the collector circuit. This property allows the transistors to work as a switch.
The operating conditions of the transistor are zero input base current (IB=0) , Zero collector current (IC=0) , and the maximum collector voltage (VCE=maximum) which results in the large depletion layer. There is no current flowing through the device. The transistor is switched to OFF. In the cut-off region, the transistor works as an OFF switch.
In the saturated region, the transistor will be biased so that the maximum amount of base current (IB=maximum) is applied, resulting in maximum collector current (IC=maximum) and then resulting in the minimum collector-emitter voltage (VCE≈0) drop. The depletion layer will be small in this condition. Hence, it allows maximum current to flow through it.
Therefore, in the saturated regions, transistors are used as an ON switch.
Hence, both A and R are true and R is the correct explanation of A.
Hence, (A) is the correct answer.