List of top Questions asked in TS PGECET

In a series RLC circuit with \( R = 10\ \Omega \), \( L = 0.1\text{ H} \), \( C = 100\ \mu\text{F} \), the resonant frequency, Q-factor and bandwidth respectively are:

If a circuit has unity power factor, then reactive power is:

The cut-off frequency of an RC low-pass filter is:

Consider the following statements:
Assertion (A): Norton current is equal to the short-circuit current at the output terminals.
Reason (R): Because Norton equivalent resistance is obtained by deactivating all independent sources and calculating the resistance seen from the output terminals.
The correct answer is:

If \( L = 1\text{ H} \), \( C = 1\text{ F} \) and \( R = 1\ \Omega \) in a series RLC circuit, then the circuit is:

In a series RL circuit excited by DC, the current reaches 63.2% of its final value at:

While evaluating \(\int_{a}^{b} f(x) \, dx\) using Trapezoidal rule and Simpson's one-third rule, \([a,b]\) is divided into n number of subintervals so that both the methods can be applied for the same division, then a possible value of n is

At \( t = \infty \) in an RL circuit with DC excitation, the inductor behaves as:

Newton-Raphson method is used to find the root of \(x^2 - 3 = 0\). If the initial solution is taken as \(x = -2\), then the iterations tend to

From a set \(\{1,2,3,4,5,6,7\}\) two numbers are selected at random. The random variable \(X\) is defined as the absolute difference of the numbers selected. The mean of \(X\) is

The solution of \(\frac{\partial^2 u}{\partial t^2} = 4\frac{\partial^2 u}{\partial x^2}\), \(t > 0\), \(-\infty < x < \infty\) satisfying the conditions \(u(x,0) = x\) and \(\frac{\partial u}{\partial t}(x,0) = 0\) is

Given below are pair of functions \(f(x)\) and \(g(x)\). Which pair is not linearly independent?

The maximum value of \(x^2 y z^3\), subject to \(x + y + z = 42\) exist at \((x, y, z) = (\alpha, \beta, \gamma)\), then \(\alpha\beta\gamma =\)

If \(A\) is symmetric, \(P\) and \(B\) are skew symmetric matrices, then which of the following is correct?

Which of the following cannot be an eigen value for an unitary matrix?

The unit for the coefficient of permeability of a soil is

A pure cohesive soil has cohesion value of 40 kPa, then as per the Mohr's – Coulomb equation its shear strength is

In a total volume of 1 \(\text{m}^3\) of soil, if the pores volume is 0.5 \(\text{m}^3\), then the porosity of soil grains is

The term 'extinction' is mostly related to the following environmental issue

Biotic community that breaks down the complex organic compounds into dead matter is

The saline concentration of inland waters is

Evapotranspiration is typically expressed in which one of the following units?

The Physiographical factors that affect the runoff is

Which one of the following indicates an approximate range of runoff coefficient for a clay soil?

The height derived or deduced directly from the GPS observations is referred as