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(C) In a common emitter transistor configuration, the input characteristics represent the variation of base current $(I_B)$ with base-emitter voltage

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(C) In a common emitter transistor configuration, the input characteristics represent the variation of base current $(I_B)$ with base-emitter voltage $(V_{BE})$ at a constant collector-emitter voltage $(V_{CE})$.The input resistance $(r_i)$ is defined as the reciprocal of the slope of the input characteristic curve: $r_i = (\Delta V_{BE} / \Delta I_B)_{V_{CE}}$.Therefore, the reciprocal of the input resistance $(1/r_i)$ is equal to the slope of the input characteristic curve: $1/r_i = \Delta I_B / \Delta V_{BE}$.The input characteristic curve of a transistor is similar to that of a forward-biased $p-n$ junction diode, which is exponential in nature: $I_B \propto e^{V_{BE}/\eta V_T}$.As $V_{BE}$ increases, the slope of this exponential curve $(\Delta I_B / \Delta V_{BE})$ increases rapidly.Thus, the graph of $1/r_i$ versus $V_{BE}$ should show an exponential increase, which is correctly depicted in graph $C$.

$A$ realistic graph depicting the variation of the reciprocal of input resistance $(1/r_i)$ in an input characteristics measurement in a common emitter transistor configuration is:

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