#### Q 2.

###
The Fourier series of a real periodic function has only

P. Cosine terms if it is even

Q. Sine terms if it is even

R. Cosine terms if it is odd

S. Sine terms if it is odd

Which of the above statements are correct?

Q. Sine terms if it is even

R. Cosine terms if it is odd

S. Sine terms if it is odd

(A) P and S | (B) P and R | (C) Q and S | (D) Q and R |

#### Q 3.

###
A function is given *f(t)* = sin^{2}*t* + cos2*t*. Which of the following is true?

*f(t)*= sin

^{2}

*t*+ cos2

*t*. Which of the following is true?

(A) f has frequency components at 0 and 1/2 |

(B) f has frequency components at 0 and 1/ |

(C) f has frequency components at 1/2 |

(D) f has frequency components at 0, 1/2 |

#### Q 4.

###
A fully charged mobile phone with a 12V battery is good for a 10minute talk-time. Assume that, during the talk-time, the battery delivers a constant current of 2A and its voltage drops linearly from 12 V to 10V as shown in the figure. How much energy does the battery deliver during this talk-time?

(A) 220 J | (B) 12 kJ | (C) 13.2 kJ | (D) 14.4 kJ |

#### Q 5.

###
In an **n**-type silicon crystal at room temperature, which of the following can have a concentration of 4Ã—10^{19} cm^{-3}?

**n**-type silicon crystal at room temperature, which of the following can have a concentration of 4Ã—10

^{19}cm

^{-3}?

(A) Silicon atoms | (B) Holes | (C) Dopant atoms | (D) Valence electrons |

#### Q 6.

###
The full form of the abbreviations TTL and CMOS in reference to logic families are

(A) Triple Transistor Logic and Chip Metal Oxide Semiconductor |

(B) Tristate Transistor Logic and Chip Metal Oxide Semiconductor |

(C) Transistor Transistor Logic and Complementary Metal Oxide Semiconductor |

(D) Tristate Transistor Logic and Complementary Metal Oxide Silicon |

#### Q 7.

###
The ROC of Z-transform of the discrete time sequence x(n)=(13)nu(n)?(12)nu(?n?1) is

(A) | (B) | (C) | (D) |

#### Q 8.

###
The magnitude plot of a rational transfer function *G*(*s*) with real coefficients is shown below. Which of the following compensators has such a magnitude plot?

*G*(

*s*) with real coefficients is shown below. Which of the following compensators has such a magnitude plot?

(A) Lead compensator | (B) Lag compensator |

(C) PID compensator | (D) Lead-lag compensator |

#### Q 9.

###
A white noise process *X*(*t*) with two-sided power spectral density 1Ã—10^{-10} W/Hz is input to a filter whose magnitude squared response is shown below

The power of the output process *Y*(*t*) is given by

*X*(

*t*) with two-sided power spectral density 1Ã—10

^{-10}W/Hz is input to a filter whose magnitude squared response is shown below

*Y*(

*t*) is given by