List of top Questions asked in AP EAPCET

At T(K), a gaseous mixture contains H\(_2\) and O\(_2\). The total pressure of the mixture is 2 bar. The weight percentage (w/w) of H\(_2\) is 33.33%. What is the approximate ratio of partial pressure of H\(_2\) and O\(_2\)?
If a constant force of \((2i + 3j + 4k) \, \text{N}\) acting on a body of mass \(5 \, \text{kg}\) displaces it from \((3i - 4k)\, \text{m}\) to \((2i + 2j + 3k)\, \text{m}\), then the work done by the force on the body is:
Assertion (A): Trichomes help in preventing water loss due to transpiration.
Reason (R): The specialized cells near the guard cells together constitute stomatal apparatus.
The correct order of atomic radii of C, Al and S is
A parallel plate capacitor has plates of area 0.4 m$^2$ and spacing of 0.5 mm. If a slab of thickness 0.5 mm and dielectric constant 4.5 is introduced between the plates of the capacitor, then the capacitance of the capacitor is
If the equation of the circle having the common chord to the circles $$ x^2 + y^2 + x - 3y - 10 = 0 $$ and $$ x^2 + y^2 + 2x - y - 20 = 0 $$ as its diameter is $$ x^2 + y^2 + \alpha x + \beta y + \gamma = 0, $$ then find $ \alpha + 2\beta + \gamma $.
The equation of chord AB of ellipse \(2x^2 + y^2 = 1\) is \(x - y + 1 = 0\). If O is the origin, then \(\angle AOB =\)
The ratio of the efficiencies of two Carnot engines A and B is 1.25 and the temperature difference between the source and the sink is the same in both engines. The ratio of the absolute temperatures of the sources of the engines A and B is
The domain of the real valued function $ f(x) = \frac{3}{4 - x^2} + \log_{10}(x^3 - x) $ is
If the locus of a point which is equidistant from the coordinate axes forms a triangle with the line \(y = 3\), then the area of the triangle is
If the breaking strength of a rope is $\frac{4}{3}$ times the weight of a person, then the maximum acceleration with which the person can safely climb up the rope is (g - acceleration due to gravity)
Identify the compound which is least reactive towards nucleophilic substitution reactions.
In an element with atomic number (Z) 25, the number of electrons with (n + l) value equal to 3 and 4 are x and y respectively. The value of (x + y) is
Match the following:
List - I List - II
A) MorphineIV) Pain killer
B) CannabinoidsV) Dopamine
C) CocaineI) Cardiovascular system
D) BenzodiazepinesII) Tranquilizers
A metal crystallizes in simple cubic lattice. The volume of one unit cell is \( 6.4 \times 10^{-7} \, \text{pm}^3 \). What is the radius of the metal atom in pm?
If the incentre of the triangle formed by lines $$ x - 2 = 0, \quad x + y - 1 = 0, \quad x - y + 3 = 0 $$ is $ (\alpha, \beta) $, then find $ \beta $.
If \( l, m \) represent any two elements (identical or different) of the set \( \{1, 2, 3, 4, 5, 6, 7\} \), then the probability that \( lx^2 + mx + 1>0 \,\, \forall x \in \mathbb{R} \) is
The number of all five-letter words (with or without meaning) having at least one repeated letter that can be formed by using the letters of the word INCONVENIENCE is:
The general solution of the differential equation $\left( x \sin \frac{y}{x} \right) \frac{dy}{dx} = y \sin \frac{y}{x} - x$ is
Identify the correct option from the following:
If all letters of the word COMBINATION are arranged to form 11-letter words with \( C \) and \( N \) at the ends and no vowel in the middle position, find the number of such words.
If $ x - y - 3 = 0 $ is a normal drawn through the point $ (5, 2) $ to the parabola $ y^2 = 4x $, then the slope of the other normal that can be drawn through the same point to the parabola is?
The elastic potential energy stored in a copper rod of length one meter and area of cross-section \(1 \, \text{mm}^2\) when stretched by 1 mm is:
If $ r_1 $ and $ r_2 $ are radii of two circles touching all the four circles $$ (x \pm r)^2 + (y \pm r)^2 = r^2, $$ then find the value of $$ \frac{r_1 + r_2}{r}. $$
The differential equation corresponding to the family of parabolas whose axis is along $x = 1$ is
Identify the correct option from the following:
If an electron in the excited state falls to ground state, a photon of energy 5 eV is emitted, then the wavelength of the photon is nearly