Which one of the following processes is preferred to form the gate dielectric  of MOSFETs?

Consider a continuous-time signal defined as .

Where ‘∗’ denotes the convolution operation and t is in seconds. The Nyquist sampling rate (in samples/sec) for x(t) is _____.

The Newton-Raphson method is used to solve the equation. Taking the initial guess as x = 5, the solution obtained at the end of the first iteration is __________.

Consider the function  where u(t) is the unit step function. The area under g(t) is ________

The impulse response of an LTI system can be obtained by

Letbe a periodic signal with period 16. Its DFS coefficients are defined by for all k . The value of the coefficient  is ____________.

Two sequences and have the same energy. Suppose, where α is a positive real number and u[n] is the unit step sequence.

Assume for

Then the value of α is _________.

For the circuit shown in the figure, the Thevenin’s equivalent voltage (in Volts) across terminals a-b is ________.

The transfer function of a first-order controller is given as . Where K, a and b are positive real numbers. The condition for this controller to act as a phase lead compensator is

For the system shown in the figure,  lies on the root locus if K is _____.                         

If C is a circle of radius r with centre , in the complex z-plane and if n is a non-zero integer, then equals

The characteristic equation of an LTI system is given by. The number of roots that lie strictly in the left half s-plane is ______.

If the base width in a bipolar junction transistor is doubled, which one of the following statements will be TRUE?

An NPN BJT having reverse saturation current is biased in the forward active region with  = 700 mV. The thermal voltage () is 25 mV and the current gain (β) may vary from 50 to 150 due to manufacturing variations. The maximum emitter current (in µA) is ________.

Consider the differential equation. Given x(0) = 20 and x(1) = 10/e, where e = 2.718, the value of x(2) is _________.

The ABCD parameters of the following 2-port network are

For  , the determinant of is

In the circuit shown, diodes ,  and  are ideal, and the inputs ,  and  are “0 V” for logic ‘0’ and “10 V” for logic ‘1’. What logic gate does the circuit represent?

The value of is ______.

Consider a four-point moving average filter defined by the equation. The condition on the filter coefficients that results in a null at zero frequency is

In the circuit shown, both the enhancement mode NMOS transistors have the following characteristics: , Assume that the channel length modulation parameter λ is zero and body is shorted to source. The minimum supply voltage  (in volts) needed to ensure that transistor  operates in saturation mode of operation is _______.        

Suppose x[n] is an absolutely summable discrete-time signal. Its z-transform is a rational function with two poles and two zeroes. The poles are at . Which one of the following statements is TRUE for the signal x[n]?

The current in an enhancement mode NMOS transistor biased in saturation mode was measured to be 1mA at a drain-source voltage of 5 V. When the drain-source voltage was increased to 6 V while keeping gate-source voltage same, the drain current increased to 1.02mA. Assume that drain to source saturation voltage is much smaller than the applied drain-source voltage. The channel length modulation parameter λ (in ) is _______

A realization of a stable discrete time system is shown in the figure. If the system is excited by a unit step sequence input x[n], the response y[n] is

A network is described by the state model as

The transfer function

 is

The position control of a DC servo-motor is given in the figure.

The values of the parameters are

N-m/(rad/sec) and . The steady-state position response (in radians) due to unit impulse disturbance torque  is _______.

The directivity of an antenna array can be increased by adding more antenna elements, as a larger number of elements

A coaxial capacitor of inner radius 1 mm and outer radius 5 mm has a capacitance per unit length of 172pF/m. If the ratio of outer radius to inner radius is doubled, the capacitance per unit length (in pF/m) is ________.

The electric field profile in the depletion region of a p-n junction in equilibrium is shown in the figure. Which one of the following statements is NOT TRUE?

In the circuit shown, assume that diodes  and  are ideal. In the steady state condition, the average voltage (in Volts) across the 0.5μF capacitor is _____.         

A coaxial cable is made of two brass conductors. The spacing between the conductors is filled with Teflon . Which one of the following circuits can represent the lumped element model of a small piece of this cable having length ∆z?

In the circuit shown, the voltage  (in Volts) is ___________.        

Consider the 3 m long lossless air-filled transmission line shown in the figure. It has a characteristic impedance of 120π Ω, is terminated by a short circuit, and is excited with a frequency of 37.5MHz. What is the nature of the input impedance ?

In the circuit shown, assume that the diodes  and  are ideal. The average value of voltage (in Volts), across terminals ‘a’ and ‘b’ is _________.

A 200 m long transmission line having parameters shown in the figure is terminated into a load . The line is connected to a 400 V source having source resistance  through a switch, which is closed at t = 0. The transient response of the circuit at the input of the line (z = 0) is also drawn in the figure. The value of (in Ω) is ________.

The contour on the x-y plane, where the partial derivative ofwith respect to y is equal to the partial derivative of 6y + 4x with respect to x, is

Which one of the following 8085 microprocessor programs correctly calculates the product of two 8-bit numbers stored in registers B and C?        

A vector field exists inside a cylindrical region enclosed by the surfaces, z=0 and z=5. Let S be the surface bounding this cylindrical region. The surface integral of this field on is _______.

Consider the Bode plot shown in the figure. Assume that all the poles and zeros are real-valued.

The value of(in Hz) is ___________.

The phase margin (in degrees) of the system is _______.

A universal logic gate can implement any Boolean function by connecting sufficient number of them appropriately. Three gates are shown.

Which one of the following statements is TRUE?

The circuit shown consists of J-K flip-flops, each with an active low asynchronous reset (input). The counter corresponding to this circuit is                        

A three bit pseudo random number generator is shown. Initially the value of output is set to 111. The value of output Y after three clock cycles is

An SR latch is implemented using TTL gates as shown in the figure. The set and reset pulse inputs are provided using the push-button switches. It is observed that the circuit fails to work as desired. The SR latch can be made functional by changing

At very high frequencies, the peak output voltage (in Volts) is ________.

In the circuit shown, the current I flowing through the 50 Ω resistor will be zero if the value of capacitor C (in μF) is ______.         

The variance of the random variable X with probability density functionis _______.        

A random binary wave y(t) is given by

Where, u(t) is the unit step function and ϕ is an independent random variable with uniform distribution in [0,T]. The sequence  consists of independent and identically distributed binary valued random variables with

for each n.

The value of the autocorrelation equals ________.        

A fair die with faces {1, 2, 3, 4, 5, 6} is thrown repeatedly till ‘3’ is observed for the first time. Let X denote the number of times the die is thrown. The expected value of X is ________.

In the circuit shown using an ideal op-amp, the 3-dB cut-off frequency (in Hz) is _______         

In the circuit shown, assume that the op-amp is ideal. If the gainis –12, the value of R (in kΩ) is _____.        

In the circuit shown in the figure, the BJT has a current gain (β) of 50. For an emitter-base voltage , the emitter-collector voltage (in Volts) is _______.

A message signal m(t) =is used to modulate the phase of a carrier to get the modulated signal y(t)= .The bandwidth of y(t)

The complex envelope of the band-pass signal , centred about , is

The modulation scheme commonly used for transmission from GSM mobile terminals is