Final answer:
The voltage gain in decibels (dB) for an amplifier with a pass band voltage gain of 275 is approximately 48.78 dB, corresponding to option D.
Step-by-step explanation:
The question pertains to determining the voltage gain in decibels (dB) at the cutoff frequency for an amplifier with a known pass band voltage gain. The pass band voltage gain of the amplifier is stated as 275. To find the voltage gain in dB, the standard formula G_{dB} = 20 \times \log_{10}(G_v) is used, where G_v denotes the pass band voltage gain. Applying this formula, we get:
G_{dB} = 20 \times \log_{10}(275) \approx 20 \times 2.44 = 48.8 dB.
Thus, the voltage gain in decibels at the cutoff frequency is approximately 48.78 dB, which corresponds to option D.