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GATE 2020 || Revision Test 5 (App update required to attempt this test)

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Question 1

A copper resistance thermometer has a resistance of 90 Ω at 80 °C. Determine the temperature at which the resistance of the thermometer is 220 Ω. The resistance temperature coefficient of copper is 0.00393 Ω/ Ω °C.

Question 2

Determine the trans-conductance for a JFET at

, if

Question 3

A phase – lead network has its transfer function G_C(s) =

. calculate the frequency (in rad/sec) at which maximum phase – lead occurs –

Question 4

Consider the logic circuit given below. The min terms in f(A,B,C,D) are _____.

Question 5

Two generators rated 300MW and 500MW are operating in parallel. The droop characteristics of their governors are 5% and 6% respectively. Assuming that the generators are operating at 50Hz at no load. If 800MW load is to be shared between both the generators, the system frequency [in Hz] at this load is… (assume free governor operation)

Question 6

Two ammeters X and Y have resistances of

and

respectively and they give full scale deflection with 150 mA and 250 mA respectively. The ranges have been extended by connecting shunts so as to give full scale deflection with 15 A. The ammeters along with shunts are connected in parallel and then placed in a circuit in which the total current flowing is 15A. The current in amperes indicated in ammeter X is __________.

Question 7

For the circuit shown below, taking the opamp as ideal, the output voltage

in terms of the input voltages V₁ ,V₂ and V₃ is

Question 8

The block diagram representation of 1^st order control system is shown in figure below:

Which one of the following is the correct representation of unit step response of a 1^st order system?

Question 9

A 1^st order feedback control system subjected to a unit ramp function then find the value of output at

if the value of

is 10
[Write the Answer Upto Two Decimal Point]

Question 10

If the waveforms A, B, C shown in figure below are applied to the Ex-NOR gates. The frequency of output is ________ kHz.

Question 11

A dynamometer type wattmeter is rated at 10 A and 100 V with a full scale reading of 1000 W. The inductance of the voltage circuit is 5 mH and resistance is 3 kohms. If the voltage drop across the current coil of wattmeter is negligible, then the error in wattmeter at rated kVA rating at zero power factor is _________, the frequency is 50Hz

Question 12

In the given circuit, the silicon transistor has β = 75 and a collector voltage V_C = 9V. Then the ratio of R_B and R_C is __________.

Question 13

Figure represent a power generating station ‘n’ provided with AVR (Automatic Voltage Regulator). The station is connected with the load through 400 kV double circuit transmission line of 220 km length. If the initial real power is of 0.58 pu. At 0.85 (lag) and the load bus voltage i.p.u.