GATE 2022 Rapid Revision Quiz 14

TIMOROUS

Consider the message signal shown below

This message signal m(t) is frequency modulated on a carrier with frequency 10⁸Hz. If the frequency deviation constant of the modulator is k_f = 50 Hz/V, then the maximum instantaneous frequency of the resultant modulated signal will be _______ MHz.

The probability density function of a random variable X is given by

Another random variable Y is defined as Y = 4x + 2 . The mean value of Y, ie. E[Y] will be

The intrinsic gain A₀ of a BJT is defined as the maximum gain a practical BJT can deliver and is formulated as A₀ = g_mr₀. If the early voltage V_A is measured to be 100 V at 27°C, then the value of intrinsic gain of the BJT A₀ equal to _______ kv/v.

Two network, N₁ & N₂ are described graphically in terms of their i – v relations & connected through a single resistor as shown. The current flowing through the circuit after connection is

For network 1

For network 2

In the circuit shown below, the power loss in 1Ω resistor is _____ W.

Polar plot of a transfer function is given below in the figure. The gain margin of the system is

Consider the following two sequences:

x₁(n) = {1, 2, 3}

x₂(n) = {–1, 2, 2}

If y(n) = x₁(n) * x₂(n), then the energy of y(n) is ______.