GATE EC 2023 Question Paper (05-Feb-2023) (Shift 2)

In a semiconductor device, the Fermi-energy level is 0.35 eV above the valence band energy. The effective density of states in the valence band at T = 300 K is 1 × 10¹⁹ cm⁻³ . The thermal equilibrium hole concentration in silicon at 400 K is ____________ × 10¹³ cm⁻³ (rounded off to two decimal places).

Given kT at 300 K is 0.026 eV

A sample and hold circuit is implemented using a resistive switch and a capacitor with a time constant of 1 μs. The time for the sampling switch to stay closed to charge a capacitor adequately to a full scale voltage of 1 V with 12-bit accuracy is _______ μs (rounded off to two decimal places).

In a given sequential circuit, initial states are Q₁ = 1 and Q₂ = 0. For a clock frequency of 1 MHz, the frequency of signal Q₂ in kHz, is ___________ (rounded off to the nearest integer).

In the circuit below, the voltage V${}_L$ is ____________ V (rounded off to two decimal places).

The frequency of occurrence of 8 symbols (a-h) is shown in the table below. A symbol is chosen and it is determined by asking a series of “yes/no” questions which are assumed to be truthfully answered. The average number of questions when asked in the most efficient sequence, to determine the chosen symbol, is _______ (rounded off to two decimal places).