GATE ECE 2004

## GATE ECE

Assuming VCesat=0.2V and β = 50, the minimum base current (IB) required to drive the transistor in the figure to saturat

View Question A bipolar transistor is operating in the active region with a collector current of
1mA. Assuming that the 'β' of the tra

View Question The value of 'C' required for a sinusoidal oscillation of frequency 1 KHz in the circuit of the figure is

View Question An ideal Op-Amp is an ideal

View Question The circuit in the figure is a

View Question Voltage series feedback (also called series-shunt feedback) results in

View Question In the op-amp circuit given in the figure, the load current iL is

View Question An AM signal is detected using an envelope detector. The carrier frequency and
modulating signal frequency are 1 MHz and

View Question An AM signal and a narrow-band FM signal with identical carriers, modulating
signals and modulation indices of 0.1 are a

View Question Two sinusoidal signals of same amplitude and frequencies 10 kHz and 10.1 kHz
are added together. The combined signal is

View Question In a PCM system, if the code word length is increased from 6 to 8 bits, the signal to quantization noise ratio improves

View Question In the output of a DM speech encoder, the consecutive pulses are of opposite polarity during time interval t1 $$ \le $$

View Question A 1 mW video signal having a bandwidth of 100 MHz is transmitted to a receiver through a cable that has 40 dB loss. If t

View Question Three analog signals, having bandwidths 1200 Hz, 600 Hz and 600 Hz are sampled at their respective Nyquist rates, enocod

View Question A source produces binary data at the rate of 10 kbps. The binary symbols are represented as shown in fig.
The source

View Question Choose the correct one from among the alternatives A, B, C, D after matching an item from Group 1 with the most appropri

View Question Consider a binary digital communication system with equally likely $$0’s$$ and $$1’s$$.
When binary $$0$$ is transmitted

View Question A causal system having the transfer function $$G\left(s\right)\;=\;\frac1{s\;+\;2}$$
is excited with 10u(t).
The time at

View Question For the polynomial P(s) = s5 + s4 + 2s3 + 2s2 + 3s + 15 ,the number of roots which
lie in the right half of the s-plane

View Question Consider the signal flow graph shown in Figure. The gain $$\frac{x_5}{x_1}$$ is

View Question A system described by the following differential equation
$$$\frac{d^2y}{dt^2}+3\frac{dy}{dt}+2y=x\left(t\right)$$$ is i

View Question Consider the Bode magnitude plot shown in figure. The transfer function H(s) is

View Question A system has poles at 0.01 Hz, 1Hz and 80 Hz; zeroes at 5hz, 100 Hz and 200 Hz. The approximate phase of the system resp

View Question The state variable equations of a system are:
$$${\mathop {{x_1} = - 3{x_1} - x}\limits^ \bullet _2} + u$$$
$$${\matho

View Question Given A $$ = \left[ {\matrix{
1 & 0 \cr
0 & 1 \cr
} } \right],$$ the state transition ma

View Question If A = $$\left[ {\matrix{
{ - 2} & 2 \cr
1 & { - 3} \cr
} } \right],$$ then sin At is

View Question The range of signed decimal numbers that can be represented by 6-bite 1’s
complement number is

View Question 11001, 1001 and 111001 correspond to the 2’s complement representation of
which one of the following sets of number?

View Question The Boolean expression AC + B$$\overline C $$ is equivalent to

View Question A Boolean function 'f' of two variables x and y is defined as follows:
f(0,0)=f(0,1)=f(1,1)=1;f(1,0)=0
Assuming compleme

View Question The minimum number of 2 to 1 multiplexers required to realize a 4 to 1 mutliplexer is

View Question A master slave flip-flop has the characteristic that

View Question Choose the correct one from among the alternatives A, B, C, D after matching an
item from Group 1 with the most appropri

View Question In the modulo-6 ripple counter shown in the figure, the output of the 2-input gate is
used to clear the J-K flip-flops.

View Question Figure shows the internal schematic of a TTL AND-OR-Invert (AOI) gate. For the inputs shown in Figure, the output Y is

View Question Consider a 300$$\Omega $$, quarter-wave long (at 1 GHz) transmission line as shown in Fig. It is connected to a 10V, 50$

View Question Consider an impedance Z = R + jX marked with point P in an impedance Smith chart as shown in Fig. The movement from poin

View Question A lossless transmission line is terminated in a load which reflects a part of the incident power. The measured VSWR is 2

View Question A plane electromagnetic wave propagating in free space in incident normally on a large slab of loss-less, non-magnetic,

View Question The phase velocity of an electromagnetic wave propagating in a hollow metallic rectangular waveguide in the $$T{E_{10}}$

View Question Consider a lossless antenna with a directive gain of + 6 dB. If 1 m W of power is fed to it the total power radiated by

View Question The impurity commonly used for realizing the base region of a silicon n-p-n
transistor is

View Question Consider the following statements S1 and S2.
S1: The threshold voltage (VT) of a MOS capacitor decreases with increase i

View Question The drain of an n-channel MOSFET is shorted to the gate so that VGS = VDS. The
threshold voltage (VT) of MOSFET is 1 V.

View Question The 8255 Programmable Peripheral Interface is used as described below.
I. An A/D converter is interfaced to a microproce

View Question The number of memory cycles required to execute the following 8085 instructions
(I.) LDA 3000H
(II.) LXI D, FOF 1H
W

View Question It is desired to multiply the numbers 0AH by 0BH and store the result in the accumulator. The numbers are available in r

View Question Consider the sequence of 8085 instructions given below.
LXI H, 9258
MOV A, M
CMA
MOV M, A
Which one of the follo

View Question The equivalent inductance measured between the terminals 1 and 2 for the
circuit shown in figure, is

View Question For the R-L circuit shown in Fig, the input voltage. vi(t) = u (t) The current
i(t) is

View Question The circuit shown in Fig, has initial current $${\mathrm i}_\mathrm L\left(0^-\right)\;=\;1\;\mathrm A$$ through the ind

View Question Consider the following statements S1 and S2.
S1: The $$\beta$$ of a bipolar transistor reduces if the base width is incr

View Question The circuit shown in figure, with $$R = 1/3\Omega $$, $$L = 1/4H$$, $$C = 3F$$ has input voltage $$v\left( t \right) = \

View Question For the circuit shown in figure, the time constant $$RC = 1$$ $$ms$$. The input voltage is $${v_i}\left( t \right) = \sq

View Question The transfer function $$H\left( s \right) = {{{V_0}\left( s \right)} \over {{V_i}\left( s \right)}}$$ of an R-L-C circui

View Question For the lattice circuit shown in Fig., $${Z_a} = j\,2\,\Omega \,\,and\,\,{Z_b} = \,\,2\Omega $$. The values of the open

View Question For the circuit shown in Figure, the initial conditions are zeros. Its transfer function
$$H(s) = {{{V_c}\,(s)} \over {

View Question The Fourier transform of a conjugate symmetric function is always

View Question The z transform of a system is
H(z) = $${z \over {z - 0.2}}$$ .
If the ROC is $$\left| {z\,} \right|$$ < 0.2, then

View Question A system described by the differential equation: $${{{d^2}y} \over {d{t^2}}} + 3{{dy} \over {dt}} + 2y = x(t)$$ is initi

View Question A rectangular pulse train s(t) as shown in Fig.1 is convolved with the signal $${\cos ^2}$$ ($$4\pi \,{10^{3\,}}$$t). Th

View Question A causal system having the transfer function H(s) = $${1 \over {s + 2}}$$, is excited with 10 u(t). The time at which th

View Question Let x(t) and y(t) (with Fourier transforms X(f) and Y(f) respectively) be related as shown in Fig.(1) & (2).
Then Y

View Question The impulse response $$h\left[ n \right]$$ of a linear time-invariant system is given by $$h\left[ n \right]$$ $$ = u\le

View Question A causal LTI system is described by the difference equation $$2y\left[ n \right] = ay\left[ {n - 2} \right] - 2x\left[ n

View Question The impulse response $$h\left[ n \right]$$ of a linear time invariant system is given as
$$h\left[ n \right] = \left\{

View Question A system has poles at 0.01 Hz, 1 Hz and 80 Hz; zeros at 5 Hz, 100 Hz and 200 Hz. The approximate phase of the system res

View Question Consider the signal x(t) shown in Fig. Let h(t) denote the impulse response of the filter matched to x(t), with h(t) bei

View Question A 1 kHz sinusoidal signal is ideally sampled at 1500 samples /sec and the sampled signal is passed through an ideal low-

View Question Consider the sequence
$$x[n] = [ - \,4 - \,j5,\,\mathop {1 + j2}\limits_ \uparrow ,\,\,4]$$
The conjugate anti-symm

View Question