Time Left - 45:00 mins

GATE 2021: Topper's Weekly Quiz-6 (App update required to attempt this test)

Attempt now to get your rank among 228 students!

Question 1

If the scalar field V = (1 + 2a)x²y + xyz is harmonic at all points, then the value of ‘a’ equals to _______

Question 2

An antenna produces electric field intensity of amplitude 1V/m at a distance of 2 km. The distance at which 3dB field strength can be measured is ……….. (in km)

Question 3

A random variable X has probability density function as

Then find the value of A

Question 4

For the transfer function G(jω) = 6 + jω. The corresponding Nyquist plot for positive frequency has the form

Question 5

A PCM (Pulse Code Modulation) system uses 8-bit encoder and uniform quantization. What is the maximum bandwidth(in MHz) of the low-pass input message signal for which the bit rate of the system is 20Mbps?

Question 6

The combinational circuit shown in the figure below represents

Question 7

The mod number of the given counter.

Assume initially counter is set to 1011

Question 8

A semiconductor has the following parameters:

μ_n = 7500 cm² v/sec

n_i = 3.6 × 10¹²/cm³

μ_p = 30 cm² v/sec

Find the minimum conductivity and the corresponding doping level to get the minimum conductivity in case of p type semiconductor.

Question 9

For the given circuit V_CB = 0.5 V and β = 100. Find the value of I_Q .

Question 10

The root of the equation “x + log₁₀x – 3.375 = 0” is found out using Newton-Raphsion’s method, if the initial assumption of the root is 2, then the root after first iteration will be ____

Question 11

The age of a man 10 yr ago was thrice the age of his son. 10 yr hence, the man’s age will be twice that of his son. The ratio of their present ages is

Question 12

For 0≤t<∞ the maximum value of the function f(t)= e^-t-2e^-2t occurs at

Question 13

In the sinusoidal oscillator shown in fig, the frequency of oscillations and condition for sustained oscillations are given by

Question 14

If AM transmission carrier is given by (after modulation)

. If the carrier signal without modulation is

then determine message signal.

Question 15

If I1 is current passing through a hemisphere shell of radius 20 cm and I2 is current passing through a spherical shell of radius -------

Calculate I1 – I2 = _____ Amperes.

Question 16

A uniformly doped silicon transistor has a doping concentration of N_B = 10¹⁷/cm³ and N_C = 7 × 10¹⁵/cm³. The base width is 0.7 μm. Let V_BE = 0.6 V. neglecting the BE junction depletion width the V_CE at punch through is

Question 17

A shopkeeper allows a discount of 10% on a product whose marked price is Rs 100 and 25% percent on a product whose marked price is Rs 180. If a customer paid total of Rs 1710 and gets a total discount of Rs 370 then how many products of marked price Rs 180 he has purchased.

Question 18

Consider a second order plant governed by

(t) + 3

(t) – 2y(t) = r(t) it is desired to design a unity negative feedback closed loop control system with this plant using a proportional controller, it is now desired that the real part of all closed loop poles be less than –1. The range of the proportional gain that would satisfy, this requirement is

Question 19

In the IC 7805 voltages regular shown in figure, V_o (volts) is:

Question 20

A semiconductor crystal 12mm long 5mm thick has a magnetic density of 0.5Wb/

applied perpendicular to largest faces. When a current of 20mA flows length wise through the specimen, the voltage measured across thickness is 37

V. Given carrier concentration is

assume single carrier system with length > thickness > width. Calculate applied current density in A/

228 attempts
3 upvotes
1 comment

Tags :

ESE & GATE EC General

Oct 7ESE & GATE EC