GATE 2022 Toppers Weekly Quiz 5

A 2 MHz clock signal is applied to a J-K flip-flop with J = K = 1. The frequency of output signal of the flip-flop is equal to …. kHz?

A discrete memory system has 4 symbols x1,x2,x3,x4 with probabilities 0.4, 0.3,0.2,0.1 respectively. calculate the amount of information carried by x4x3x3x2.

The voltage across a 125 mH inductor is given by

V(t) = (3t² + 2t + 1)V; for t > 0 and i(0) = 2A

The current through the inductor at t = 3 sec will be

For pure germanium semiconductor of s (where s is conductivity and T is temperature in Kelvin).

A particular medium has conductivity σ = 20 S/m, relative permittivity ε_r = 2 and electric field intensity  = 10 cos (ωt) V/m The frequency at which the magnitude of conduction current density equal to that of displacement current density is

The instrumentation amplifies shown below has common mode gain A_CM = 0, differential input voltage V₂ – V₁ = V_id = 10 mV, then output voltage Vo will be ____________ mV

In the plane z = 5m a thin ring of radius, a = 3m is placed such that x-axis passes through it’s center. If the ring carries a current of 50 mA in 4 direction then the magnetic field intensity at point (0, 0, 1) will be ________ mA/m in a_z direction

Two binary symmentric channels are cascaded then p(z1) is ___

The chances that doctor A will diagnose a disease X correctly is 60%. The chances that a patient will die by his treatment after correct diagnosis is 40% and the chances of death by wrong diagnosis is 70%. A patient of doctor A, who had disease X, died. The chance that his disease was diagnosed correctly will be_______ (in %).