List of top Questions asked in Telangana State Post Graduate Engineering Common Entrance Test

If $ X $ is a Poisson variate such that $ P(X=1) = \frac{3}{10} $ and $ P(X=2) = \frac{1}{5} $, then the mean of the distribution is:
The angle, which the fault plane makes with the vertical plane is referred to as
An overturned fold in which two limbs dip towards each other is named as
Placer Gold deposits are mostly
Kolar Gold Field (KGF) deposit is an example of
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:
The unit normal vector to the level surface $$ x^2 y + 2 x z = 4 $$ at the point $ (2, -2, 3) $ is:
The general solution of the differential equation $$ (D^2 - 5D + 6) y = e^{3x} $$ is:
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
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:
Chemical potential in a thermodynamic system is a measure of:
The efficiency of a cyclic process is limited by:
The transition rate for a particle moving between states in Fermi’s Golden rule is directly proportional to:
In scattering theory, the differential cross-section determines:
The condition for the equilibrium of a particle in a plane subjected to concurrent forces requires that:
The centroid of a composite plane figure can be found by:
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: