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GATE 2020: Toppers Mini Mock Quiz 2 (App update required to attempt this test)
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Question 1
In a full-wave rectifier using two ideal diodes and center tapped transformer, Vdc and Vm are the dc and peak values of the voltage respectively across a resistive load. If PIV is the peak inverse voltage of the diode, then the appropriate relationships for this rectifier are
Question 2
For the circuit shown in the figure, and If the input then the overall voltage gain of the circuit is ______.
Question 3
The small signal resistance (i.e., dVB/dID) in kΩ offered by the n-channel MOSFET M shown in the figure below, at a bias point of VB = 2 V is (devise data for M: device transconductance parameter , threshold voltage , and neglect body effect and channel length modulation effects)
Question 4
In the circuit shown, assume that the opamp is ideal. If the gain (V0 / Vin) is –12, the value of R (in kΩ) is _____.
Question 5
A linear voltage controller is construct using discrete components as shown in figure. Then the output voltage V0 is (in Volts)
Question 6
From the given direct form structure, find the input-output relation equation;
Question 7
Find the determinant of ?
Question 8
If x(t)= 5exp[j50ᴨt(2+)], then determine the instantaneous frequency (in Hz).
Question 9
Let be an input to the system and is DTFT of The output of the system is and the DTFT is . If the energy of the signal is
Question 10
The closed loop transfer function of a system is
The number of poles having positive real part is
The number of poles having positive real part is
Question 11
A negative resistance Rneg is connected to a passive network N having driving point impedance Z1(s) as shown below. For Z2(s) to be positive real,
Question 12
What is the rise time () of a 2nd order system if damping ratio (ξ) = 0.40 and natural frequency () =2 rad/sec?
Question 13
The switch has been in position 1 for a long time and abruptly changes to position 2 at t= 0.
If time t is in seconds, the capacitor voltage Vc (in volts) for t>0 is given by
If time t is in seconds, the capacitor voltage Vc (in volts) for t>0 is given by
Question 14
A non-linear device has transfer characteristic given by I = (4 + vi + vi2) mA is supplied with a carrier of 2 V amplitude and a sinusoidal signal of 1 V amplitude in series. The modulation index is
Question 15
If the radius of a sphere is increased by 4cm, its surface area is increased by 464π cm2. What is the volume (in m3)
Question 16
Direction: Find out a set of numbers amongst the four sets of numbers given in the alternatives, which is most like the set given in the question.
(14, 20, 3)
(14, 20, 3)
Question 17
A feedback system employing output rate damping is shown below
In the absence of derivative feedback, the rise time for the system response is _______ sec.
In the absence of derivative feedback, the rise time for the system response is _______ sec.
Question 18
Group I lists a set of four transfer functions. Group II gives a list of Possible step responses y(t). Match the step responses with the corresponding transfer functions
Group–I
Group-II
(1)
(2)
(3)
(4)
Group–I
Group-II
(1)
(2)
(3)
(4)
Question 19
A super-heterodyne receiver is to operate in the frequency range of 90 MHz – 110.5 MHz. If C = Cmax/Cmin = 1.45 is the required capacitance ratio of the local oscillator. If the image frequency is 125 MHz, then the receiver is tuned at ________ MHz.
Question 20
If x4 - 79x2 + 1 = 0, then the value of x3 + x-3 is:
Question 21
For the source follower circuit shown in the figure below, the transistor parameters are VT = 1V, A/V2 and neglect channel length modulation. The small signal voltage gain to be The value of ratio if mA is
Question 22
The angle of asymptotes for the system shown below are
Question 23
Two ideal pn junction have exactly the same electrical and physical parameters except for the band gap of the semiconductor materials. The first has a bandgap energy of 0.525 eV and a forward-bias current of 10 mA with Va =0.255 V. The second pn junction diode is to be designed such that the diode current I=10 at a forward-bias voltage of Va =0.32 V. The bandgap energy of second diode would be_____ (eV)
Question 24
The open loop transfer function of a unity feedback system is
The number of roots having positive real part is
The number of roots having positive real part is
Question 25
Two pn silicon junction is reverse biased at Vr=5V. The impurity doping concentration in junction A are Na=1018 cm-3 and Nd=1015 cm-3 and impurity doping concentration in junction B are Na=1018 cm-3 and Nd=1016 cm-3.The ratio of the space charge width is _____
Question 26
The maximum electric field in reverse-biased silicon pn junction is | The doping concentration are and . The magnitude of the reverse bias voltage is_____? If
Question 27
Consider the system of equations given below:
4x – ay – z = 0
ax + 8y – az = 0
3x + 2y – z = 0
If the system of equation has only trivial solution, then which of the following is true?
4x – ay – z = 0
ax + 8y – az = 0
3x + 2y – z = 0
If the system of equation has only trivial solution, then which of the following is true?
Question 28
By selling two articles at ₹ 1279 each, a man neither gains nor lose on the overall bill. If he has made a profit on one of the articles, then find his loss per cent on the other article:
Question 29
The value of the expression (cos6θ + sin6θ – 1) (tan2θ + cot2θ + 2) is :
Question 30
For message signal m(t) = t/ (1 + t2) the suitable equation for AM wave having percentage modulation of 80% would be
Question 31
A spends 65% of his income. His income is increased by 20.1% and his expenditure is increased by 25%. His savings :
Question 32
Evaluate + (3x2-8y2) dx, where curve is bounded by x=0, y=0 and x+y=1
Question 33
OLTF of an unity feedback system is OLTF = k (s +4)(s -1). The centroid is
Question 34
Evaluate the complex integration , where C is the right half of a circle having radius 2 traversed in anticlockwise direction .(Z = complex variable )
Question 35
The amplitude of a sinusoidal carrier is modulated by a single sinusoid to obtain the amplitude modulated signal
The value of the modulation index is _______.
The value of the modulation index is _______.
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