List of top Questions asked in AP EAPCET- 2022

The range of the data set: \( 35, 12, 21, 24, 15, 7, 16, 12, 30, 32, 13, 17 \) is:
Let \( A = \begin{bmatrix} n & 0 & 0 \\ 0 & n & 0 \\ 0 & 0 & n \end{bmatrix} \) and \( B = \begin{bmatrix} 0 & 0 & n \\ 0 & n & 0 \\ n & 0 & 0 \end{bmatrix} \). Then \( A^2 + B^2 + AB = \)
If a matrix A satisfies the equation \( A^3 - 6A^2 + 11A - 6I = 0 \), then \( A^{-1} \) can be
If the point \( (2, \lambda) \) lies inside the circles \( x^2 + y^2 = 13 \) and \( x^2 + y^2 + x - 2y = 14 \), then \( \lambda \) lies in the set:
If $ x = f(\theta) $, $ y = g(\theta) $, then find: $$ \frac{d^2 y}{dx^2} $$
In a triangle \( ABC \), if \( a : b : c = 4 : 5 : 6 \), the ratio of radius of the circumcircle to that of the incircle is:
If \(A = \begin{bmatrix}x & 2 & 1 \\ 2 & x & 1 \\ 2 & 1 & 0\end{bmatrix}\) and \(\det(A) = 125\), then \(x =\)
Assertion (A): Fluorine has smaller negative electron gain enthalpy than chlorine.
Reason (R): The electron-electron repulsion is higher in chlorine than in fluorine.
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 $, find the age of the sample.
1.8 g of glucose (molar mass 180 g/mol) is dissolved in 0.1 kg of water. The freezing point of the solution (in °C) is
(K$_f$ for water = 1.86 K kg mol$^{-1}$)
Choose the correct statement regarding nuclear properties:
A body is travelling with $ 10\, \text{m/s} $ on a rough horizontal surface. Its velocity after $ 2\, \text{s} $ is $ 4\, \text{m/s} $. The coefficient of kinetic friction between the block and the plane is
(acceleration due to gravity = $ 10\, \text{m/s}^2 $)
Identify P and Q respectively of the following reaction:
P and Q respectively of the following reaction
A particle of charge \(1.0 \times 10^{-16}\) C moves through a uniform magnetic field \(\vec{B} = B_0 (\hat{i} + 4\hat{j})\) T. The particle velocity at some instant is \(\vec{V} = (2\hat{i} + 4\hat{j})\) m/s and the magnetic force acting on it is \(3 \times 10^{-16}\) N. The magnitude of \(B_0\) is
A particle of mass $ 2.2 \times 10^{-30}\, \text{kg} $ and charge $ 1.6 \times 10^{-19}\, \text{C} $ is moving at $ 10\, \text{km/s} $ in a circular path of radius $ 2.8\, \text{cm} $ inside a solenoid. The solenoid has $ 25\, \text{turns/cm} $, and the magnetic field is perpendicular to the plane of the particle’s path. The current in the solenoid is:
($ \mu_0 = 4\pi \times 10^{-7}\, \text{H/m} $)
In which of the following, oxides of three elements X, Y, and Z are arranged in increasing order of acidic nature? Their electronic configurations are:
X: $[Ne] 3s^2 3p^1$, \quad Y: $[Ne] 3s^2 3p^3$, \quad Z: $[Ne] 3s^2$
The velocity of the electron in Bohr’s first orbit is \( x \times 10^6 \, \text{ms}^{-1} \). The deBroglie wavelength associated with it (in nm) is (Given: \( m_e = 9 \times 10^{-31} \, \text{kg}, \, h = 6.6 \times 10^{-34} \, \text{Js} \))
Glycylalanine is a dipeptide formed by the minimum instruction time. It is made up of which amino acids?
The gaseous mixture used for welding of metals is
Which of the following is correct for fcc lattice?
Identify the correct statements:
An optician prescribes a corrective lens of power +2D, then the focal length of the required convex lens is
The frequency band for uplink satellite communication in the following is
Identify the correct variation of pressure and volume of a real gas (A) and an ideal gas (B) at constant temperature.
($ y = P, x = V $)
Identify the correct trend of acidic strength for the given alcohols:
correct trend of acidic strength for the given alcohols: