List of top Questions asked in AP EAPCET

A body cools down from \(75^\circ C\) to \(65^\circ C\) in 10 minutes. It will cool down from \(65^\circ C\) to \(55^\circ C\) in a time
If two vectors $ \vec{A} $ and $ \vec{B} $ are mutually perpendicular, then the component of $ \vec{A} \cdot \vec{B} $ along the direction of $ \vec{A} + \vec{B} $ is
A natural number $n$ such that $n!$ ends in exactly 1000 zeros is
How many grams of Mg is required to completely reduce 100 mL, 0.1 M $\mathrm{NO}_3^-$ solution using the following reaction? $\mathrm{NO}_3^- + \mathrm{Mg} \to \mathrm{Mg}^{2+} + \mathrm{NH}_3$
Consider a disc of radius \( R \) and mass \( M \). A hole of radius \( \frac{R}{3} \) is created in the disk such that the center of the hole is \( \frac{R}{3} \) away from the center of the disc. The moment of inertia of the remaining system about the axis perpendicular to the disc and passing through the original center is:
The product formed in the given reaction is Phenylmagnesium bromide (C$_6$H$_5$-MgBr) reacting with D$_2$O, leading to product ?.
In the reaction of phosphorous with conc. HNO3, the oxidized and reduced products respectively are
Suppose $P$ and $Q$ are the midpoints of the sides $AB$ and $BC$ of a triangle where $A(1, 3)$, $B(3, 7)$ and $C(7, 15)$ are vertices. Then the locus of $R$ satisfying $AC^2 + QR^2 = PR^2$ is
Evaluate \( \int_{-\pi}^{\pi} \frac{\cos^{2022}x}{1 + (2022)^x} \, dx \).
The number of radial nodes and angular nodes in a 4f orbital are respectively:
If $f(f(0)) = 0$, where $f(x) = x^2 + ax + b$, $b \neq 0$, then $a + b =$
If \( \frac{a}{a_1} = \frac{b}{b_1} \), then the substitution used to solve the differential equation \(\frac{dy}{dx} = \frac{ax + by + c}{a_1x + b_1y + c_1} \) using separation of variables is:
A reaction gas mixture contains 50%, 30%, 20% of A, B and C by volume respectively. The mixture undergoes the following reactions: \[ \text{(i) } A + 2B \rightarrow P_1 \\ \text{(ii) } 2P_1 + 3C \rightarrow P_2 \] Choose the correct answer if the reaction completes.
Identify the correct statements from the following: (a) Alkali metals are strong reducing agents. (b) KO$_2$ is a diamagnetic oxide. (c) Lithium chloride exists as LiCl . 2H$_2$O
Among the ions O$^{2-}$, Na$^+$, F$^-$, N$^{3-}$, Mg$^{2+}$ the ions with smallest and largest radii are respectively
Identify the correct statements:
A sphere of surface area \( 4 \, \text{m}^2 \), temperature 400 K, emissivity 0.5 is in an environment of 200 K. The net rate of energy exchange is (take \( \sigma = 5.67 \times 10^{-8} \, \text{Wm}^{-2} \text{K}^{-4} \))
The molecule which has more number of lone pair of electrons than the bond pair of electrons in its central atom is
The ratio of effective number of atoms in a unit cell of fcc and bcc lattices is
There are 4 hotels in a town. If 3 men check into the hotels in a day, what is the probability that each checks into a different hotel?
For two events $A$ and $B$, a true statement among the following is

Identify the product(s) formed in the following reaction:

If \( \sin\left(x + \frac{\pi}{3}\right) + \sin\left(x - \frac{\pi}{3}\right) = 1 \), then the value of \( x \) in the interval \( [0, \pi] \) is:
If $ \sin \theta = -\frac{3}{4} $, then compute $ \sin 2\theta $
On the locus of the point \( P(x, y) \) equidistant from \( (3, 0) \) and \( (0, 4) \), if \( A \) and \( B \) are two points that satisfy \( 4x = 3y \) and \( x = y \) respectively, then the distance between A and B is: