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An amplifier A has $6 \; d \mathrm{B}$ gain and $50 \; \Omega$ input and output impedances. The noise figure of this amplifier as shown in the figure is $(a)$ is $3 \; d \mathrm{B}$. A cascade of two such amplifiers as in the figure is will have a noise figure of

  1. $6 \; d \mathrm{B}$
  2. $8 \; d \mathrm{B}$
  3. $12 \;d \mathrm{B}$
  4. None of the above
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