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GATE EC: 2018 Mini Mock 6

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Question 1

Find the minimum frequency response for which signal x(t) be framed from sample x(n), when x(t) = 2 cos (100pit) + 5 sin (250pit + pi/3) - 4.5 cos (375pit - pi/4) + 15.9 sin (600pit + pi/9)

Question 2

The response of a system at zero initial conditions and non-zero input is called ________.

Question 3

A rectangular waveguide operates at a frequency of 11GHz in mode. If maximum potential gradient of the signal is 5kV/cm, then maximum power handling capacity of the waveguide will be: -

Question 4

If the pole of a signal x[n] = -an.u[-n-1] is a, then what will be the range of Region of Convergence in the corresponding ‘z’ plane? [Given : 0 < a < 1]

Question 5

If a voltage of 1 Volt is applied across 1 mm silicon piece in a uniform electric field, then what will be the velocity of electrons and holes in the semiconductor? Select the correct option showing the time required by electrons and holes to cross the region.

Question 6

The parameter of n-channel depletion mode MOSFET are = -3.5V and =2 mA/ and = 0V , = 3.5V then what will be the value of current ?

Question 7

A BJT has β = 50, base collector leakage current = 3.3μA. If transistor is connected in common emitter configuration. Then what will be the leakage current ICO if base current is 0.

Question 8

The second order system with characteristic equation s(s + 3) + K(s + 5) = 0. It is observed that the complex portion of the root loci of the given system is described by a circle. The breakaway and breakin points on the real axis are respectively,

Question 9

A circular air-filled waveguide of radius 5cm is operated in the mode. The waveguide is then completely filled with a dielectric of relative’s permittivity 2.25 and relative permeability 1.0. The cut-off wavelength for the mode is 0.082m when the waveguide is filled with the dielectric, the cut off frequency will become nearby

Question 10

Let the signal be a discrete time signal represented as

This signal is passed through a system whose impulse response is represented as. The minimum value of so that is _______ Hz
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May 9ESE & GATE EC