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GATE 2021: Toppers Quiz-13 (App update required to attempt this test)

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Question 1

The hole concentration in Ge at T = 300k varies as P(x) = 1015 where x is measured in μm. If the hole diffusion coefficient is Dp = 48 cm2/sec. Then determine the hole diffusion current density in A/cm2 as a function of x.

Question 2

A unity feedback system has the following open loop frequency response.

Determine the gain and phase margin

Question 3

Which of the following is one of the design scales of synchronous counter?

Question 4

In an FM system, if both amplitude and frequency of the signal-tone message signal are doubled, then the bandwidth (according to carson’s rule) of the resultant FM signal will be

Question 5

For a typical Op-amp if the compensating capacitor is 30pF and this internal capacitor charging current is 15μA and the peak value of input is 9V. so the maximum possible frequency in kHz of input voltage that can be applied to get undistorted output is _______. (Rounded up to two decimal value)

Question 6

In the plane z = 0 a disk of radius , centered at origin carries a uniform surface charge density ρs = 2 C/m3. If the disk rotates about the z – axis at an angular velocity ω = 2 rad/s then the magnetic field intensity at the point P (0, 0, 1) will be

Question 7

A closed loop system with unity feedback is described by following equation

The steady state error for unit step input is

Question 8

Consider the combinational circuit shown below


Minimum number of NAND gates required toi implement above circuit …….

Question 9

Find the suitable value of R3(in kΩ) such that the output voltage V0 of the shown figure goes to zero is_____kΩ?

Question 10

Just outside train compartment, the field strength of radio station is 1.0 v/m. Assume the compartment to be closed box of metal having conductivity, thickness 2 mm and the frequency of radio station is 400 kHz, the approximate field strength inside compartment is _____ mv/m.

Question 11

The combination of resistors is shown in figure below. If is operated at T and is operated at temperature,then the equivalent noise temperature if the circuit is

Question 12

A silicon n+ P junction solar cell has a surface area of 1 cm2 and acceptor concentration Na = 1015 cm–3 in the base region. Assume diffusion coefficient of electrons Dn = 35 cm2 sec–1, carrier lifetime of electrons, tn = 2.57 msec, and electron–hole pair generation rate (= 2.7 × 1019 cm–3 sec–1). Then the open circuit voltage (VOC) of the solar cell is ________ V.

(Assume VT = 26 mV, ni = 1.5 × 1010 cm–3 neglect the contribution of n+ –region and depletion region).

Question 13

A binary PAM communication system uses envelope rectangular pulse of duration Tb and amplitude +A to transmit digital information at a rate Rb = 105bps. If the PSD of the AWGN noise is N0/2 where N0 = 10–2W/Hz, (Given Q(x) = 10-6 for x = 4.75) the value of A that is required to achieve a probability of error Pe = 10-6 is ……………..

Question 14

The system with characteristic equation given by C.E = s6 + 3s5 + 4s4 + 6s3 + 5s2 + 3s + 2 = 0 will be

Question 15

A parallel plate capacitor has 1m distance between the plates. The air has dielectric strength of 35 kV/m and voltage between plates is 25kV. When a glass piece of r = 5, dielectric strength of 200 kV/m and thickness 0.3m is inserted between the plates, the value of dielectric strength at which air breaks is ………… kV/m.
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Jan 16ESE & GATE EC