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GATE 2019: Topper Mini Mock 2 (App update required to attempt this test)

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Question 1

The transfer characteristic of the Op-amp circuit shown in figure is

Question 2

For the circuit shown in the figure below, it is given that. The transistor has when the B-E junction is forward biased.

For this circuit, the value of is

Question 3

Consider a liner time-invariant system transfer function. If the input is and the steady state output is then the value of A is______.

Question 4

The characteristic equation of a system is given by

Find the number of poles of the system in the Right-half of s-plane.

Question 5

The Boolean expression simplifies to

Question 6

Consider the program given below :
MOV A, C
STC
CMC
DCR C
Let, the content of register C is 00 H initially and the above instructions are executed, then content of register C and flag register is respectively

Question 7

A 500V, 40 kVA, 1 - ϕ alternator has an effective resistance of √5 Ω. An armature current of 100 A on short circuit produced by field current of 10 A and an emf of 300 V on open circuit. Then calculate the full load regulation (in Percentage) with power factor 0.8 lagging –

Question 8

The figure shows the per-phase equivalent circuit of a two-pole three-phase induction motor operating at 50 Hz. The “air-gap” voltage across the magnetizing inductance, is 210 V RMS and the slip, s, is 0.05. The torque (in N-m) produced by the motor is ________.

Question 9

A point charge of +1 nC is placed in a space with a permitivity of 8.85 × 10–12 F/m as shown in Fig. The potential difference VPQ between two points P and Q at distances of 40 mm and 20 mm respectively from the point charge is

Question 10


The charge stored in the capacitor at t = 5 μs, will be

Question 11

The inductance of a moving iron ammeter with a full scale deflection of 90 ° at 1.5 A, is given by the expression where θ is the deflection in radian from the zero position. Estimate the angular deflection of the pointer for a current of 1 A.

Question 12

A voltmeter and an ammeter are to be used to determine the power dissipated in a resistor. Both instruments are guaranteed to be accurate within ± 1% at full scale depletion. If the voltmeter reads 100 V on its 150 V range and the ammeter reads 55 mA on its 100 mA range, determine the limiting error for the power calculated.

Question 13


Value of i at t= 1 sec and voltage across R during t<1 sec and t> 1 sec is

Question 14


Current through R3 , L at time t= 9 sec and t=12 sec respectively is

Question 15

A single-phase full-bridge inverter has RLC load of R = 4 Ω, L = 35 mH and C = 155 μF. The dc input voltage is 230 V and output frequency is 50 Hz. The 3rd harmonic component in load current is

Question 16

In a 3 - ϕ dual converter circuit shown below,

the reactor voltage is,

Question 17

A single core cable for use on 11 kV, 50 Hz system has conductor area 0.645 cm2 and the internal diameter of sheath is 2.18 cm. The maximum electric stress in the cable is

Question 18

The three conductor of a 3-phase line are arranged at the corners of a triangle of sides 2 m, 2.5 m and 4.5 m. The inductance per phase per meter, if the diameter of each conductor is 1.24 cm and conductor are regularly transposed is

Question 19

If u(t) is the unit step and δ(t) is the unit impulse function, the inverse z-transform of F(z) = for k > 0 is:

Question 20

The transfer function of a system is given

the system will be

Question 21

The solution of the differential equation, for t>0, y” (t) +2y’ (t) + (y) (t) = 0 with initial conditions y (0) = 0 and y’ (0) = 1, is (u(t) denotes the unit step function),

Question 22

A signal is represented by

The Fourier transform of the convolved signal y(t)=x(2t)*x(t/2) is

Question 23

If the Fourier Transform of x(t) is X(j). Then determine the F.T. of x(5t-3).

Question 24

Which number does not belong in the series below?
2, 5, 10, 17, 26, 37, 50, 64

Question 25

Who ___________ was coming to see us this evening?
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Jun 19ESE & GATE EE