GATE

A function 𝐹(𝐴, 𝐵, 𝐶) defined by three Boolean variables A, B and C when expressed as sum of products is given by

A function 𝐹(𝐴, 𝐵, 𝐶) defined by three Boolean variables A, B and C when expressed as sum of products is given by

Q. A function 𝐹(𝐴, 𝐵, 𝐶) defined by three Boolean variables A, B and C when expressed as sum of products is given by 𝐹 = 𝐴̅ ⋅ 𝐵̅ ⋅ 𝐶̅ + 𝐴̅ ⋅ 𝐵 ⋅ 𝐶̅ + 𝐴 ⋅ 𝐵̅ ⋅ 𝐶̅ where, 𝐴̅, 𝐵̅, and 𝐶̅ are the complements of the respective variables. […]

A function 𝐹(𝐴, 𝐵, 𝐶) defined by three Boolean variables A, B and C when expressed as sum of products is given by Read More »

In a p-n junction diode at equilibrium, which one of the following statements is NOT TRUE?

In a p-n junction diode at equilibrium, which one of the following statements is NOT TRUE?

Q. In a p-n junction diode at equilibrium, which one of the following statements is NOT TRUE? A. The hole and electron diffusion current components are in the same direction. B. The hole and electron drift current components are in the same direction. C. On an average, holes and electrons drift in opposite direction. D.

In a p-n junction diode at equilibrium, which one of the following statements is NOT TRUE? Read More »

Consider 𝑝(𝑠) = 𝑠3 + 𝑎2𝑠2 + 𝑎1𝑠 + 𝑎0 with all real coefficients It is known that its derivative 𝑝′(𝑠) has no real roots

Consider 𝑝(𝑠) = 𝑠3 + 𝑎2𝑠2 + 𝑎1𝑠 + 𝑎0 with all real coefficients It is known that its derivative 𝑝′(𝑠) has no real roots

Q. Consider 𝑝(𝑠) = 𝑠3 + 𝑎2𝑠2 + 𝑎1𝑠 + 𝑎0 with all real coefficients. It is known that its derivative 𝑝′(𝑠) has no real roots. The number of real roots of 𝑝(𝑠) is (A) 0                          (B) 1                          (C) 2                          (D) 3 Ans: 1 Sol: Given p(s) = s3 + a2 s2 + a1s + a0

Consider 𝑝(𝑠) = 𝑠3 + 𝑎2𝑠2 + 𝑎1𝑠 + 𝑎0 with all real coefficients It is known that its derivative 𝑝′(𝑠) has no real roots Read More »

The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining

The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining

Q. The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability of feedback controllers. Identify which of the following statements is FALSE: A. Both the criteria provide information relative to the stable gain range of the system. B. The general shape of the Nyquist plot is readily obtained

The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining Read More »

The Cricket Board has long recognized John’s potential as a leader of the team. However

The Cricket Board has long recognized John’s potential as a leader of the team. However

Q. The Cricket Board has long recognized John’s potential as a leader of the team. However, his on-field temper has always been a matter of concern for them since his junior days. While this aggression has filled stadia with die-hard fans, it has taken a toll on his own batting. Until recently, it appeared that

The Cricket Board has long recognized John’s potential as a leader of the team. However Read More »

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