Electronics and Communication Gate 2024 Questions with Answer

Ques 14 GATE 2024

A 4-bit priority encoder has inputs D₃, D₂, D₁, and D₀ in descending order of priority. The two-bit output B₁B₀ is generated as 00, 01, 10, and 11 corresponding to D₃, D₂, D₁, and D₀, respectively. The Boolean expression of the output bit B₁ is

D₃D₂

D̄₃D₂ + D̄₃D̄₁

D₃D̄₂ + D̄₃D₁

D̄₃D̄₁

Ques 15 GATE 2024

The propagation delay of the 2×1 MUX shown in the circuit is 10 ns.
Consider the propagation delay of the inverter as 0 ns.

If S is set to 1 then the output Y is

a square wave of frequency 100 MHz

a square wave of frequency 50 MHz

constant at 0

constant at 1

(B) is the correct answer.

Ques 16 GATE 2024

The sequence of states $(Q_1 Q_0)$ of the given synchronous sequential circuit is

$00 → 10 → 11 → 00$

$11 → 00 → 10 → 01 → 00$

$01 → 10 → 11 → 00 → 01$

$00 → 01 → 10 → 00$

(D) is the correct answer.

Ques 17 GATE 2024

Consider a lossless transmission line terminated with a short circuit as shown in the figure below. As one moves towards the generator from the load, the normalized impedances Z_inA, Z_inB, z_inC, and Z_inD (indicated in the figure) are

Z_inA = +1j Ω, z_inB = ∞, z_inC = −1j Ω, Z_inD = 0

Z_inA = ∞, z_inB = +0.4j S, Z_inD = +0.4j Ω

z_inD = ∞

Z_inC = −0.4j Ω, Z_inD = 0

(A) is the correct answer.

Ques 18 GATE 2024

î and ĵ be the unit vectors along x and y axes, respectively, and let A be a positive constant. Which one of the following statements is true for the vector fields F̄₁ = A(îy + ĵx) and F⃗₂ = A(îy − ĵx)?

Both F⃗₁ and F⃗₂ are electrostatic fields.

Only F⃗₁ is an electrostatic field.

Only F⃗₂ is an electrostatic field.

Neither F⃗₁ nor F⃗₂ is an electrostatic field.

(D) is the correct answer.

Ques 19 GATE 2024

A uniform plane wave with electric field $E⃗(x)=A_y â_y e^{-j\frac{2πx}{3}} V/m$ is travelling in the air (relative permittivity, $ε_r=1$ and relative permeability, $μ_r=1$) in the +x direction ($A_y$ is a positive constant, $â_y$ is the unit vector along the y-axis). It is incident normally on an ideal electric conductor (conductivity, σ=∞) at x=0.
The position of the first null of the total magnetic field in the air (measured from x=0, in metres) is

$-\frac{3}{4}$

$-\frac{3}{2}$

-6

-3

(A) is the correct answer.

Ques 20 GATE 2024

A lossless transmission line with characteristic impedance $Z_0 = 50 Ω$ is terminated with an unknown load.
The magnitude of the reflection co-efficient is $|Γ| = 0.6$.
As one moves towards the generator from the load, the maximum value of the input impedance magnitude looking towards the load (in Ω) is

(125) is the correct answer.

Ques 21 GATE 2024

In the circuit below, assume that the long channel NMOS transistor is biased in saturation.
The small signal trans-conductance of the transistor is $g_{m}$. Neglect body effect, channel length modulation and intrinsic device capacitances.
The small signal input impedance $Z_{in}(j\omega)$ is

$\frac{-g_{m}}{C_{1}C_{L}\omega^{2}}+\frac{1}{j\omega C_{1}}+\frac{1}{j\omega C_{L}}$

$\frac{g_{m}}{C_{1}C_{L}\omega^{2}}+\frac{1}{j\omega C_{1}}+\frac{1}{j\omega C_{L}}$

$\frac{1}{j\omega C_{1}}+\frac{1}{j\omega C_{L}}$

$\frac{-g_{m}}{C_{1}C_{L}\omega^{2}}+\frac{1}{j\omega C_{1}+j\omega C_{L}}$

(A) is the correct answer.

Ques 22 GATE 2024

For the closed loop amplifier circuit shown below, the magnitude of open loop low frequency small signal voltage gain is 40. All the transistors are biased in saturation.
The current source $I_{SS}$ is ideal. Neglect body effect, channel length modulation and intrinsic device capacitances.
The closed loop low frequency small signal voltage gain $\frac{v_{out}}{v_{in}}$ (rounded off to three decimal places) is

0.976

1.000

1.025

0.488

(A) is the correct answer.

Ques 23 GATE 2024

For non-degenerately doped n-type silicon, which one of the following plots represents the temperature (T) dependence of free electron concentration (n)?

(A) is the correct answer.

Ques 24 GATE 2024

In the circuit shown, the n: 1 step-down transformer and the diodes are ideal.
The diodes have no voltage drop in forward biased condition.
If the input voltage (in Volts) is $V_{s}(t)=10sinωt$ and the average value of load voltage $V_{L}(t)$ (in Volts) is $2.5/π$, the value of n is

(B) is the correct answer.

Ques 25 GATE 2024

The free electron concentration profile n(x) in a doped semiconductor at equilibrium is shown in the figure, where the points A, B, and C mark three different positions.
Which of the following statements is/are true?

For x between B and C, the electron diffusion current is directed from C to B.

For x between B and A, the electron drift current is directed from B to A.

For x between B and C, the electric field is directed from B to C.

For x between B and A, the electric field is directed from A to B.

(A;D) is the correct answer.

Ques 26 GATE 2024

In the given circuit, the current I_x (in mA) is _____________.

(3) is the correct answer.

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