List of top Questions asked in AP EAPCET

In an LCR series circuit, if the potential differences across inductor, capacitor, and resistor are $60~\text{V}$, $30~\text{V}$, and $40~\text{V}$ respectively, then the net voltage applied to the circuit is
A plane EM wave of frequency $25~\text{MHz}$ propagates in vacuum. If electric field is $6.3~\text{V/m}$, then magnitude of magnetic field is
When a sphere is taken to the bottom of a sea of depth $1~\text{km}$, it contracts in volume by $0.01%$. Then the bulk modulus of the material of the sphere is (Acceleration due to gravity = $10~\text{m/s}^2$)
In amplitude modulation of waves, the maximum amplitude is $30~\text{mV}$ and minimum amplitude is $5~\text{mV}$, then the modulation index is
Consider the following changes I and II
Change I: ${O2 → O2^{2-}}$
Change II: ${O2 → O2^{-}}$
The correct statements about these changes (I) and (II) in accordance with MO theory are
The increasing order of number of lone pair electrons on the central atom of the following molecules is which of the following?
I) ${ClF3}$
II) ${XeF2}$
III) ${SF4}$
IV) ${SiH4}$

Which of the following is the correct statement for an ideal gas (constant =\( \textit{energy}\) )?
 

At 256 K, the rms speed of ${SO2}$ molecules is 3.16$\times 10^2$ m/s. What is the most probable velocity (in m/s) of the same gas molecules at the same temperature?
The energy required to increase the temperature of 180 g of liquid water from 10$^\circ$C to 15$^\circ$C is 3765 J. What is $C_p$ of water in J mol$^{-1}$ K$^{-1}$? ($H_2O$ = 18 u)
At 298 K, the value of $K_c$ for the reaction A$_2$O$_4$(g) $\rightleftharpoons$ 2AO$_2$(g) is $x$ mol L$^{-1}$. What is the approximate $K_p$ value for this reaction?
Given: $R = 0.082$ L atm mol$^{-1}$ K$^{-1}$
The number of primary (1$^\circ$), secondary (2$^\circ$), and tertiary (3$^\circ$) alcohols possible for the formula C$_5$H$_{12}$O respectively are:
The specific conductance of 0.05 M NaOH solution is 0.0115 S cm$^{-1}$. What is its molar conductance ($\Lambda_m$) in S cm$^2$ mol$^{-1}$?
For the reaction: A + 2B $\rightarrow$ 3C + 2D, if rate of disappearance of B is $x \times 10^{-2}$ mol L$^{-1}$ s$^{-1}$, the ratio of rate of reaction to rate of appearance of C is:
Activation energy for the hydrolysis of sucrose by acid is X kJ mol$^{-1}$ and by sucrase is Y kJ mol$^{-1}$. X and Y respectively are

Match the following:

List-I (Atomic number, Z)List-II (Block)
A) 112I) \(s\)
B) 116II) \(p\)
C) 88III) \(d\)
D) 100IV) \(f\)
Observe the following numbers:
I) 0.0063
II) 132.00
III) 1004
The number of significant figures in I, II and III respectively is
A \(\mathbf{A \to products}\) is a first order reaction. The following data is obtained for this reaction at temperature T(K). The value of \(x : y\) is
\[ \begin{array}{ccc} \text{Rate} \, (mol\, L^{-1} min^{-1}) & 0.2 & 0.4 & 1.0 \\ \text{[A]} & 0.02\, M & x\, M & y\, M \\ \end{array} \]
Observe the following reactions
I) Sucrose (aq) + H2O →[x] glucose + fructose
II) Glucose (aq) →[y] ethanol + CO2
What are $x$ and $y$ respectively? Identify the correct option from the following:
The set of all real values of $x$ such that \[ f(x) = \frac{[x] - 1}{\sqrt{[x]^2 - [x] - 6}} \] is a real valued function is
If a function $f : \mathbb{Z} \to \mathbb{Z}$ is defined by $f(x) = x - (-1)^x$, then $f(x)$ is
If \[ A = \begin{bmatrix} 1 & 2 & -2 \\ 2 & -1 & 2\\ -1 & 1 & -2 \end{bmatrix}, \] then find $A + 2A^{-1}$.
If $(3 + 4i)^{2025} = 5^{2023}(x + iy)$, then find $\sqrt{x^2 + y^2}$.
If \[ \left(\frac{\cos \theta + i \sin \theta}{\sin \theta + i \cos \theta}\right)^{2024} + \left(\frac{1 + \cos \theta + i \sin \theta}{1 - \cos \theta + i \sin \theta}\right)^{2025} = x + iy, \] and $x + y$ at $\theta = \frac{\pi}{2}$ is
The coefficient of \(x^3\) in the expansion of \(\frac{x^4 + 1}{(x^2 + 1)(x - 1)}\) when it is expressed in terms of positive integral powers of \(x\), is
If \(x\) is a real number, then the number of solutions of \(\tan^{-1}\left(\sqrt{x(x+1)}\right) + \sin^{-1}\left(\sqrt{x^2 + x + 1}\right) = \dfrac{\pi}{2}\) is