Electronics and Communication GATE 2023 Questions with Answer

Ques 27 Electronic Devices

In an extrinsic semiconductor, the hole concentration is given to be 1.5n_i where n_i is the intrinsic carrier concentration of 1 × 10¹⁰ cm^-3. The ratio of electron to hole mobility for equal hole and electron drift current is given as ____ (rounded off to two decimal places).

0.67 is the correct answer.

Ques 28 Electronic Devices

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.

4.63 is the correct answer.

Ques 29 Electronic Devices

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).

7.37 is the correct answer.

Ques 30 Electronic Devices

In the circuit below, the voltage V_L is ____ V (rounded off to two decimal places).

1.45 is the correct answer.

Ques 31 Engineering Mathematics

Which one of the following options represents the given graph?

f(x) = x²2^-|x|

f(x) = x2^-|x|

f(x) = |x|2^-x

f(x) = x2^-x

Ques 32 Engineering Mathematics

Let

be two vectors. The value of the coefficient α in the expression v₁ = αv₂ + e which minimizes the length of the error vector e, is

$\frac{7}{2}$

$\frac{-2}{7}$

$\frac{2}{7}$

$\frac{-7}{2}$

Ques 33 Engineering Mathematics

The rate of increase of a scalar field f(x, y, z) = xyz in the direction v = (2, 1, 2) at a point (0, 2, 1) is

$\frac{2}{3}$

$\frac{4}{3}$

Ques 34 Engineering Mathematics

Let ω⁴ = 16j. Which of the following cannot be a value of ω?

2e^j2π/8

2e^jπ/8

2e^j5π/8

2e^j9π/8

Ques 35 Engineering Mathematics

The value of the contour integral, ∮_C(z+2/z²+2z+2)dz, where the contour C is {z: |z + 1 - 3/2 j| = 1}, taken in the counter clockwise direction, is

-π(1 + j)

π(1 + j)

π(1 - j)

-π(1 - j)

Ques 36 Engineering Mathematics

Let the sets of eigenvalues and eigenvectors of a matrix B be {λ_k|1 ≤ k ≤ n} and {v_k|1 ≤ k ≤ n}, respectively. For any invertible matrix P, the sets of eigenvalues and eigenvectors of the matrix A, where B = P^-1AP, respectively, are

{λ_k det(A)|1 ≤ k ≤ n} and {Pv_k|1 ≤ k ≤ n}

{λ_k|1 ≤ k ≤ n} and {v_k|1 ≤ k ≤ n}

{λ_k|1 ≤ k ≤ n} and {Pv_k|1 ≤ k ≤ n}

{λ_k|1 ≤ k ≤ n} and {P^-1v_k|1 ≤ k ≤ n}

Ques 37 Engineering Mathematics

A random variable X, distributed normally as N(0, 1), undergoes the transformation Y = h(X), given in the figure. The form of the probability density function of Y is (In the options given below, a, b, c are non-zero constants and g(y) is piece-wise continuous function.)

aδ(y - 1) + bδ(y + 1) + g(y)

aδ(y + 1) + bδ(y) + cδ(y - 1) + g(y)

aδ(y + 2) + bδ(y) + cδ(y - 2) + g(y)

aδ(y + 2) + bδ(y - 2) + g(y)

Ques 38 Engineering Mathematics

The value of the line integral ∫^Q_P(z²dx + 3y²dy + 2xz dz) along the straight line joining the points P(1, 1, 2) and Q(2, 3, 1) is

-5

Ques 39 Engineering Mathematics

Let x be an n × 1 real column vector with length l = √x^Tx. The trace of the matrix P = xx^T is

l²

l²/4

l²/2

1 2 3 4 5

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Electronics and Communication GATE 2023 Questions with Answer