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Three identical amplifiers with each one having a voltage gain of $50,$ input resistance of $1 \mathrm{~K} \Omega$ and output resistance of $250 \; \Omega$, are cascaded. The open circuit voltage gain of the combined amplifier is

  1. $49 \mathrm{~dB}$
  2. $51 \mathrm{~dB}$
  3. $98 \mathrm{~dB}$
  4. $102 \mathrm{~dB}$

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