GATE 2021: Toppers Quiz-15 (App update required to attempt this test)

A feedback control system is shown below which has ζ = 0.5 and ω_n = 4 rad/sec. The values of K and K_t are respectively:

In a TDMA /FDD based cellular system, each frame consists of eight time slots and each time slot contains 156.25 bits. if the data is transmitted at a rate of 270.833 kbps. Then the direction of a frame will be

Match the following Lists

A piece of silicon is doped uniformly with phosphorous with a doping concentration 10¹⁶ /cm³. The expected value of mobility versus doping concentration for silicon assuming full dopant ionization is shown below. The charge of an electron is C. The conductivity (in S cm^–1) of the silicon sample at 300 K is____
Hole and Electron Mobility in Silicon at 300 K

                       Doping concentration (cm^–3)

The real part of an analytic function is x³ – 3xy² + 3x² – 3y², then the imaginary part of the function will be

Given at room temperature the voltage equivalent of temperature V_T = 26mv, hole mobility μ_p = 500 cm² / V-sec and life time of hole is 130ns in a sample of n – type silicon bar that is exposed to radiation at one end at low injection level then what is the diffusion length of holes?

Given that a half-wave rectifier circuit driven from a transformer having a secondary voltage of 28V_rms, f = 60 Hz with R = 15 Ω and C = 25 mF. Assume the diode on voltage V_on = 1 V.

The value of the DC output voltage (V_{o, dc}) and value of ripple voltage is in volts is

For a given P⁺ - N Si junction diode with N_D = 10¹⁵ cm^-3 and n_i= 10¹⁰ cm^-3 Find the electric field at the midpoint of the depletion region on the n-side. (let reverse bias voltage = 100V)

The transfer function of a unit feedback system is , for the closed loop poles to lie on left side of σ = –3, the minimum value of K is

The differential signal (V_d) = 5 sin ωt (mV) and the common mode signal V_cm = 6V, find V_x?

A square wave with frequency = 5 kHz

This signal is passed through an ideal low-pass filter with 0 dB of passband gain and 10 kHz of cut-off frequency. The filtered signal is subsequently buried additively into a zero mean noise processed with one-sided power spectral density (PSD) of 20 nW Hz ^{– 1}. Upto a frequency of 2.5 MHz. The PSD of noise is zero beyond 2.5 MHz. The signal to noise ratio of the output is _______dB.

A certain microprocessor based system has only 24 bit instruction. If before start of the program, PC loaded with 152 (in decimal) then which one of the following is legal PC address l in decimal

Milk and water are mixed in vessel A in the ratio of 5:7 and in vessel B in the ratio 2 : 1. Now, a new mixture of 18 litre is made by mixing quantities of vessel A & B such that milk and water ratio in new mixture becomes 5:4. Find quantity of vessel B in new mixture.

The full-scale output of a 8-bit DAC is 10 V. Find the resolution for this digital to analog converter.

If the line shown below is operating at 400 MHz, then its input impedance Z_in will be

12 boys can complete a work in 4 days while 15 girls can complete the same work in 4 days. 6 boys start working on the job and after working for 2 days, all of them left. How many girls should be put on the job to complete the remaining work in 3 days.