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The correct statement for shot noise and Johnson noise is that :

(a) Shot noise occurs because the carriers do not cross the barrier simultaneously
(b) Shot noise is a random fluctuation that accompanies any direct current crossing a potential barrier
(c) Johnson noise arises from thermal cause wherein electron in conductor possess kinetic energy
(d) Mean noise voltage across the conductor is zero but the root-mean-square value is infinite and cannot be measured

  • A.(a) and (b)
  • B.(a), (b) and (c)
  • C.(d) only
  • D.(a) and (c)

Answer: B

Statements a, b and c are correct, so the answer is (a), (b) and (c).

Shot noise arises because current is carried by discrete charges that cross a potential barrier at random times rather than simultaneously (a); it is a random fluctuation that accompanies any direct current crossing a barrier, as in diodes and transistors (b). Johnson (thermal) noise arises from the random thermal motion of electrons, which have kinetic energy, in any conductor (c).

Statement d is false. The mean of thermal noise voltage is zero, but its root-mean-square value is finite and measurable:

\[ V_{rms} = \sqrt{4kTRB} \]

so the option 'd only' and any option omitting b or c are wrong.

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