GATE 2021: Toppers Quiz-12 (App update required to attempt this test)
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Question 1
The loop transfer function of the system. The root locus plot of the system has
Question 2
The cut off wavelength of wave guide is given as 80 mm. find the length (in km) of waveguide to ensure signal of 5 GHz emerging out of waveguide is delayed by 10μ sec with respect to the signal that is propogating in free space outside the waveguide is _________ km.
Question 3
The magnetic field intensity in a region is , the current density in A/m2 at a point (1, 2, 3) is
Question 4
The mean value C of Cauchy’s theorem for the functions andin the interval [2, 3] is
Question 5
If A3×3 is any real matrix such that lAl = 24, trace of ‘A’ = 9 and one of the eigen values is ‘2’ then trace of Adj A = _____?
Question 6
The given pie chart shows the breakup of total number of the employees of a company working in different offices (A, B, C, D and E).
Total no. of employees = 2400
What is the number of offices in which the number of employees of the company is between 350 and 650?
Question 7
Find the numbers a, b, c between 2 and 18 such that
I. their sum is 25,
II. the numbers 2, a, b are consecutive terms of an A.P. and
III. The numbers b, c, 18 are consecutive terms of a G.P.
Question 8
Consider an angle modulated signal with phase modulation as follows
Assume. Find the bandwidth (in kHz) whenis doubled.
Question 9
An analog signal of bandwidth 20kHz is sampled at a rate of 40kHz, and quantized into 16 levels. The resultant digital signal is transmitted using M-ary PSK with raised cosine pulse(with α = 0.3). A channel with a 110 kHz bandwidth is available to transmit the data. Then find the smallest acceptable value of number of phase angles.
Question 10
Consider the two diode circuit shown in the figure below:
The diodes D1 and D2 can be modelled as a constant voltage source of 0.7 V, when forward biased. The value of current flowing through diode D1 is equal to ID1, then the value of current ID1 is equal to ______ mA
Question 11
If the transistors in Fig. have high values of β and a VBE of 0.65 Volts, the current I flowing through 2kΩ resistance is
Question 12
Let x(n) = Even component of x(n) is acos(bn) then the value of a & b are respectively.
Question 13
For the given pole zero plot which one could correspond to an even function of time.
Question 14
A two-port network is shown in figure. The parameter h21, for this network can be given by
Question 15
An NMOS transistor with threshold voltage VT = 1 V, = 0.002 A /V2 and the terminal voltages are VGS = 1.2 V and VDS = 0.1 V.
The drain current of the NMOS transistor is ____________A