List of top Questions asked in TS PGECET

The particular integral of $$ (x^2 D^2 + 4 x D + 2) y = x^2 $$ is:
The Newton-Raphson iteration $$ x_{n+1} = \frac{1}{3} \left( 2 x_n + \frac{N}{x_n^2} \right) $$ is used to compute
The unit normal vector to the level surface $$ x^2 y + 2 x z = 4 $$ at the point $ (2, -2, 3) $ is:
Compute the Jacobian $ \frac{\partial(x,y)}{\partial(u,v)} $ of the transformation: $$ x = \frac{u+v}{1 - uv}, \quad y = \tan^{-1} u + \tan^{-1} v $$
The value of $$ \int_0^1 x^4 (1 - x)^2 \, dx $$ is:
If $$ A = \frac{1}{2} \begin{pmatrix} -1 & 1 & 1 & 1 \\ 1 & -1 & 1 & 1 \\ 1 & 1 & -1 & 1 \\ 1 & 1 & 1 & -1 \end{pmatrix}, $$ then the inverse of $ AA^T $ is:
Entropy can be conceptually understood as a measure of:
In Joule's experiments, the equivalence of heat and mechanical work was demonstrated, establishing the mechanical:
During an isothermal expansion of an ideal gas:
The efficiency of a cyclic process is limited by:
Chemical potential in a thermodynamic system is a measure of:
The centroid of a composite plane figure can be found by:
The condition for the equilibrium of a particle in a plane subjected to concurrent forces requires that:
In scattering theory, the differential cross-section determines:
The transition rate for a particle moving between states in Fermi’s Golden rule is directly proportional to:
Heisenberg's uncertainty principle makes it impossible to simultaneously determine with perfect accuracy
Fermi's Golden Rule is particularly useful for calculating the
In the context of scattering in a central potential, phase shifts indicate
For an electron moving in a hydrogen atom, the central potential it experiences is primarily due to:
Assess the significance of zero-padding in the application of DFT to signal analysis. Zero-padding is crucial for
Analyze the principle of operation for CCDs in digital imaging. The core function relies on
To determine the impact of scaling on CMOS device performance, scaling down CMOS technology typically results in
Which of the following statement is correct in analyzing the effect of increasing the gate voltage beyond the threshold on an n-channel MOSFET's drain current?
Which of the following characteristics is most crucial for the accuracy of an A/D converter?
In a half adder circuit, what happens if both inputs are 1?