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GATE 2021: Toppers Quiz-22 (App update required to attempt this test)
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Question 1
In an n–type semiconductor, the electron concentration (no) = 1015 cm–3 and the intrinsic carrier concentration (ni) is 1010 cm–3. The mean life time of minority carriers is 10–6 sec. The steady state excess hole concentration due to constant light illumination is dp = 4 × 105 cm–3. The steady state electron – hole recombination rate is __________.
Question 2
In the silicon BJT circuit shown below, assume that the emitter area of transistor Q1 is one fourth that of transistor Q2.
The value of current I0 is approximately
Question 3
The phase delay of an LTI system for a phase response of θ(ω) is given as
Question 4
Norton’s theorem states that a complex network connected to a load can be replaced with an equivalent impedance
Question 5
Consider the Huffman coding shown in figure below. The code-word length of symbol B, C, E and F are respectively
Question 6
A tunnel is modelled as an air-filled metallic rectangular waveguide with dimensions a = 8 m and b = 16 m which of the following statement is true about this tunnel
(i) It will not pass a 1.5 MHz AM Signal
(ii) It will pass the 120 MHz FM signal
Question 7
For a feedback control system of type-2, the steady state error for a ramp input is:
Question 8
The FOM of a logic family is given by:
Question 9
If z = xyln(xy), then
Question 10
N inverters are connected in a ring
Each inverter has a propagation delay of 10ns.
The above circuit works as an
Question 11
The required value of " RD" to establish a drain voltage of 0.1Vis _____(kΩ)
VTH = 1V, μnCox (W/L) = 1mA/ V2
VTH = 1V, μnCox (W/L) = 1mA/ V2
Question 12
Find value of V0 in volt?
Question 13
A continuous time system has input and output x (t) and y (t) respectively. The system is defined by its input output relation y (t) = x (t2). The system is
Question 14
If the real part of the analytic function f(z) is given by e–x(cosy + siny), then the function f(z) will be
Question 15
For the network shown below for the output. The state space representation is
Question 16
A sample function x(t) is a random process consists of 1 and 0 shown below by pulses of amplitude +A and -A with duration T. The sample value for uniform distribution of random variable Td is td probability density function defined by
Find autocorrelation function of x(t).
Question 17
Transmitting and receiving antennas operating at 1.5 GHz with gains of 25 dB and 30 dB, respectively are separated by 1.5 km. If the transmitted power is 200 W, then the maximum power that can be received at receiver is given by _______mW.
Question 18
Consider a unity feedback System having an open-loop transfer function
For k=1 The gain margin is 28dB.When gain margin is 20 dB, K will be equal to
For k=1 The gain margin is 28dB.When gain margin is 20 dB, K will be equal to
Question 19
An n–channel EMOSFET operating in saturation region has threshold 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 _________ .
Question 20
The instrumentation amplifies shown below has common mode gain ACM = 0, differential input voltage V2 – V1 = Vid = 10 mV, then output voltage Vo will be ____________ mV
Question 21
Consider a discrete-time signal
If y[n] is the convolution of x[n] with itself, the value of y[4] is _________.
If y[n] is the convolution of x[n] with itself, the value of y[4] is _________.
Question 22
Consider the two port network shown below
If then C2 is _______ F.
If then C2 is _______ F.
Question 23
A message m(t) band-limited to the frequency fmhas a power of Pm. The power of the output signal in the following figure is
Question 24
A medium is divided into two regions I and II about z = 0 plane as shown in the figure below.
In the interface carries surface current = (A/m)
and magnetic flux density in region II
=+
the magnetic flux density in region I, is given by
In the interface carries surface current = (A/m)
and magnetic flux density in region II
=+
the magnetic flux density in region I, is given by
Question 25
Assuming that flip-flops are in reset condition initially, the count sequence observed at QA in the circuit shown is
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