GATE 2022 is being organized by IIT, Kharagpur. Through this exam, the qualified candidates get admission into master’s & direct doctoral programs in the field of Engineering/ Architecture/ Technology/ Arts & Science, etc. Qualification in GATE is mandatory for seeking admission to various institutions.
GATE’22 EE: Daily Practices Quiz 25-Aug-2021
Each question carries 2 marks
Negative marking: 0.66 mark
Total Questions: 05
Total marks: 10
Time: 12 min.
Q1. A temperature in the range of −40˚ C to 55˚ C is to be measured with a resolution of 0.1˚ C. The minimum number of ADC bits required to get a matching dynamic range of the temperature sensor
Q2. A P– type crystal is obtained by doping
1. silicon with arsenic,
2. silicon with aluminium,
3. Ge with boron,
4. Ge with phosphorus.
(a) 2 and 3 are correct
(b) 2 and 4 are correct
(c) 1 and 4 are correct
(d) 1 and 3 are correct
Q3. A 4-pole induction motor, supplied by a slightly unbalanced three-phase 50Hz source, is rotating at 1440 rpm. The electrical frequency in Hz of the induced negative sequence current in the rotor is
Q4. A network containing 50 buses in which 10 are the voltage control buses, 6 are the generator buses. Find the size of the Jacobian matrix.
Q5. A boost chopper chops 5 V DC voltage to produce an average output of 30 V. The duty ratio is:
Sol. Resolution=(analog output)/(No.of steps)
Sol. Doping means the introduction of impurities into a semiconductor crystal to the defined modification of conductivity. In P-Type Semiconductor, the addition of trivalent impurities such as boron, aluminium or gallium to an intrinsic semiconductor creates deficiencies of valence electrons, called “holes”.
Sol. ACQ: N_s=120f/P=(120×50)/4=1500 rpm
And N_r=1440 rpm
∴ The electrical frequency in Hz of the induced negative sequence current in the rotor
=((N_s+N_r)/N_s )×50=((1500+1440)/1500)×50=98 Hz
Sol. Size of Jacobian matrix=(2n-m-2)×(2n-m-2)
Where, n=number of buses and m=number of PV buses=10+6-1=15
∴ Size of Jacobian matrix=(2n-m-2)×(2n-m-2)
=(2*50-15-2) × (2*50-15-2)
Sol. Duty ratio(D)=1-V_in/V_out =1-5/30=5/6