List of top Questions asked in AP EAPCET- 2022

\( \frac{(1+i)x-2i}{3+i} + \frac{(2-3i)y+i}{3-i} = i \implies x+y = \)

Let \( A = \begin{bmatrix} b^2+c^2 & a^2 & a^2 \\ b^2 & c^2+a^2 & b^2 \\ c^2 & c^2 & a^2+b^2 \end{bmatrix} \). If \(a = \sin \pi/6, b = \cos \pi/4\) and \(c = \cot \pi/2\) then A is

If a matrix A satisfies the equation \( A^3 - 6A^2 + 11A - 6I = 0 \), then \( A^{-1} \) can be

If $$ A = \begin{bmatrix} 1 & 0 \\ 2 & 1 \end{bmatrix}, \quad B = \begin{bmatrix} 1 & 3 \\ 0 & 1 \end{bmatrix} $$ then find: $$ \det(A^6 + B^6) $$

If $$ A = \begin{bmatrix} 3 & -3 & 4 \\ 2 & -3 & 4 \\ 0 & -1 & 1 \end{bmatrix} $$ then $ AA^T $ is:

Let $ f : \mathbb{R} - \left\{-\frac{1}{2}\right\} \rightarrow \mathbb{R} $ be defined by $$ f(x) = \frac{x - 2}{2x + 1} $$ If $ \alpha, \beta $ satisfy the equation $$ f(f(x)) = -x $$ then evaluate: $$ 4(\alpha^2 + \beta^2) $$

If $$ f(x) = \log\left(\left(\frac{2x^2 - 3}{x}\right) + \sqrt{\frac{4x^4 - 11x^2 + 9}{|x|}}\right) $$ then $ f(x) $ is:

The homonuclear complex in the following is:

Which compound is formed on catalytic hydrogenation of carbon monoxide at high pressure and temperature in presence of ZnO–Cr$_2$O$_3$ catalyst?

Assertion (A): Fluorine has smaller negative electron gain enthalpy than chlorine.
Reason (R): The electron-electron repulsion is higher in chlorine than in fluorine.

Which of the following form an ideal solution?

96.5 amperes current is passed through the molten AlCl$_3$ for 100 seconds. The mass of aluminum deposited at the cathode is (Atomic weight of Al = 27 u)

An element crystallizing in fcc lattice has the density of 8.92 g cm$^{-3}$ and edge length of 3.61$\times$10$^{-8}$ cm. What is the atomic weight of the element? (N=6.022$\times$10$^{23}$ mol$^{-1}$)

The two major constituents of Portland cement are:

Identify P and Q in the following reaction: $$ \text{P} + \text{Q} \rightarrow [\text{B(OH)}_4]^– + \text{H}_3\text{O}^+ $$

The set of species having only fractional bond order values is:

Identify the correct statements from the following:
I. At 0 K, the entropy of pure crystalline materials approaches zero.
II. Entropy for the process $ \text{H}_2\text{O(l)} \rightarrow \text{H}_2\text{O(g)} $ decreases.
III. Gibbs energy is a state function.

50 g of a substance is dissolved in 1 kg of water at $ 90^\circ C $. When the temperature is lowered to $ 10^\circ C $, the density increases from $ 1.1\, \text{g/cc} $ to $ 1.15\, \text{g/cc} $. What is the percentage change in molarity of the solution?

An ancient artifact retains 75% of its original carbon-14. Given $ T_{1/2} = 5730 \, \text{years} $, and $ \ln(0.5) = -0.7 $, $ \ln(0.75) = -0.3 $, find the age of the sample.

A circular loop of wire of radius $ 14\, \text{cm} $ is placed in a magnetic field directed perpendicular to the plane of the loop. If the field decreases steadily at a rate of $ 0.05\, \text{T/s} $, what is the magnitude of the induced emf in the loop?

The magnetic field in a plane electromagnetic wave is given by: $$ \vec{B} = (3 \times 10^{-7}) \sin(3 \times 10^4 x + 9 \times 10^{12} t) \hat{j} $$ What is the corresponding electric field $ \vec{E} $ of the wave?