GATE 2019: Topper Quiz 10 (App update required to attempt this test)

A 4:1 multiplexer is to be used for generating the output carry of a full adder. A and B are the bits to be added while C_in is the input carry and C_out is the output carry. A and B are to be used as the select bits with A being the more significant select bit.

 
Which one of the following statements correctly describes the choice of signals to be connected to the inputs I₀, I₁, I₂ and I₃ so that the output is C_out?

Transmitting and receiving antennas operating at 1.5 GHz with gains of 25 dB and 30 dB, respectively are separated by 1.5 km. If the transmitted power is 200 W, then the maximum power that can be received at receiver is given by _______mW.

In the feedback system shown below
The step response of the closed-loop system should have minimum settling time and have no overshoot.
 
The required value of gain k to achieve this is

For the switching converter shown in the following figure, assume steady-state operation. Also assume that the components are ideal, the inductor current is always positive and continuous and switching period is T_s. If the voltage V_L is as shown, the duty cycle of the switch S is ______.

Find the voltage ripple factor if An SCR rectifier circuit is designed such that the average output voltage is 77.64 V & RMS value of output voltage is 145.87 V.?

Two single phase Scott-connected transformers supply a 3 - ϕ, 4-wire, 50 Hz distribution system with 400 V between lines. The high voltage windings are connected to a 2 - φ, 6000 V (per phase) system. The core area is while the maximum allowable flux density is 1.2 T. Determine the point to be tapped (number of turns) for the neutral wire on the 3 - ϕ side.

An 8- pole, 3 - ϕ, 50 Hz induction motor runs at a speed of 710 rpm with an input power of 35 kW. The stator copper loss at this operating condition is 1200 W while the rotational losses are negligible. Find the value of gross torque in N-m.

Two transformers are to be operated in parallel such that they share load in proportion to their kVA ratings. The rating of the first transformer is 1000 kVA ratings. The rating of the first transformer is 1000 kVA and its pu leakage impedance is 0.08 pu. If the rating of second transformer is 350 kVA, its pu leakage impedance is

Determine the range of the digital voltmeter in Volt with digit display that displays a voltage of 0.14253 V as 0.14 V?