GATE 2021: Toppers Mini Mock Quiz 5 (App update required to attempt this test)
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The defining feature of the economic programme of independent India’s first government was accelerating the transition to a modern economy dominated by industry. Agriculture and related activities at that time accounted for around half of the gross domestic product (GDP) and modern industry in the form of factory establishments for just above 6 per cent. Which of the following conclusions can be drawn from the above paragraph?
The sentences of a paragraph have been jumbled up and labelled P, Q, R and S. Select the option that gives the correct sequence in which these sentences should be rearranged to form a meaningful paragraph.
Satellites have been launched into space for various purposes.
P : The other satellites we have launched are the Bhaskara, Apple and Insat-IA, IB, IC.
Q : We have launched our first satellite Aryabhatta on 19th April, 1975.
R : Our latest achievement is the launching of PSLV rocket.
S : Therefore in satellite technology, we are able to compete with other developed countries.
Only a few other countries have developed satellite technology.
The minimum no of two input NAND gate are required to implement the Boolean function Z=AB'C, Assuming that A, B and C are available is
A newly constructed feedback amplifier undergoes a performable test with the following result with the feedback connection removed, a source signal of 2mV is required to provide a 10V output to the load, with the feedback connection, a 10V output requires a 200mV source signal. For this amplifier, the value of feedback factor B is equal to
A silicon p+ n diode (Na >> Nd) has junction area of 1.6 cm2, donor concentration of 1013 cm–3, diffusion coefficient of holes is 6.5 cm2 /sec and diffusion length of holes is 2 , if a forward bias voltage of 0.65 V is applied across the diode, then the forward current of the diode will be ______ mA .
(Assumeh= 2, VT = 26 mV, ni = 1.5 × 1010 cm–3)
Consider continuous random function with probability density function
Standard deviation of random variable is
Consider the control system shown below. For unit step input, the time constant of the system is given by ________ sec.
The drain of an n–channel MOSFET is shorted to the gate. The threshold voltage (VT) of MOSFET is 1 V. If the drain current ID is 1 mA for VGS = 2V, then for VGS = 3V, the drain current ID will be ____________ mA
A state-space representation of a system is given by and x(0) = The time response of this system will be
An n–channel EMOSFET operating in saturation region has thereshold voltage Vth = 1 V, gate oxide capacitance, Cox = 4 × 10–8 F/cm2 mobility of electrons = 1250 cm2 /V–sec, channel width W = 20 and channel length modulation parameter l= If the drain current ID = 1 mA for VGS = 3 V, then the channel length of the MOSFET will be _________ .
Power spectral density of message in given by, Sm(ω) = P rect (ω/2α), α = 8000 π,
The noise has PSD; Sn(ω) = 10–8
If the minimum output SNR at receiver > 30 dB the minimum transmission bandwidth (in Hz) required is
Consider the following equations:
The system of equations will be______.
In the given series RC circuit, determine the value of R (in Ω), if the current in the circuit at t = 0.5 s is 1.95 A and at t = 2 s is 1.8 A?
For an electric field E = Eo sinωt. What is the phase difference (in degree) between the conduction current and displacement current ?
Two concentric spherical surfaces with r = 4m and r = 8 m having uniform surface charge densities 40 nC/m2 and 20 nC/m2 respectively. The radial electric flux density at r = 6m is ________ nC/m2.
Select the word which means the same as the group of words given.
Too unimportant to consider
Manali invested certain amount in three different schemes A, B and C at the rate of interest 10% p.a., 15% p.a., 18% p.a. respectively. If total interest at the end of one year was Rs. 3720 and the amount invested in scheme A was 150% of the amount invested in scheme B and 220% of the amount invested in scheme C. What was the amount invested in Scheme B?
The table shows the production of different types of cars (in thousands).
The total production of type B cars in 2015 and type D cars 2016 is what percent less than the total production of type E cars in five years?
In the circuit shown in figure, voltage V0 is
The electric flux density is six times the polarization inside a certain dielectric material. The dielectric constant of the material is _________?
The directional derivative of at in the direction of line PQ, where , is _____.
For a cosine and sine function, the exponential Fourier series coefficient cn have the property
The Laplace transform of a function is given by
The open loop transfer function of the system is G(s) H(s) = . The root locus will intersect jaxis at A, the asymptotic line intersect jat point B The values are
Consider the open loop transfer function of unity feedback system as The maximum phase angle provided by this system is
A ternary channel emits 3 symbols x1, x2 and x3 with probabilities Px(x1) = 0.4 and Px(x2) = Px(x3) = Q. The mutual information I(x|y) (in bits/symbol) would be given as (p is given to be 0.8)
An ideal MOS capacitor has a p–type substrate with a doping concentration of 1016 cm–3 Boron atoms / cm3. If a positive DC gate voltage is applied, then the maximum width of space charge region that can exist in the substrate is ________ μm.
(Assume, εSi = 1.04 × 10–12 F /cm, kT/q = 26 mV and ni = 1.5 × 1010 cm–3)
A binary receiver system receiver a bit rate of 1 Mbps. The amplitude of the waveform is 3 mV and the two sided noise power spectral density is 0.210-11 W/Hz. If erfc(x)= then the average bit probability for BPSK signal is_______.
Consider a signal x(t) = 2 cos(150πt + which is sampled at a rate of 200 Hz. What will be the period of resulting discrete signal?
For the medium with and and then value of β in rad/m will be:
The phase shift oscillator shown below operates f = 80 kHz. The value of resistance RF is
If the initial rate of rise of the current is 1.25 A/s, find the value of L(in H).
A 8192 bit dynamic RAM is designed in such as way that, it’s number of rows is 8 times to its number of columns. Then the number of words in this memory (in Decimal) is ………….
x(n) = 0 for n < -1, n > 0 and x(-1) = -1, x(0) = 2 is the input and y(n) = 0 for n < -1, n > 2 and y(-1) = -1 = y(1), y(0) = 3, y(2) = -2is the output of a discrete time LTI system. The system impulse response h(n) will be