List of top Questions asked in AP EAPCET- 2022

The formation of ammonia from its constituent elements is an exothermic reaction. \ The effect of increase in temperature on the reaction equilibrium is:
A car covers a distance at a speed of 60 km/h. It returns to the starting point at a speed of \( V \). If the average speed for the entire trip is 48 km/h, then what is the magnitude of \( V \)?
\( \vec{a}, \vec{b} \) are two vectors such that \( |\vec{a}|=\sqrt{3}, |\vec{b}|=\sqrt{2} \). If \( \vec{x} \) is a unit vector satisfying \( \vec{x} \times \vec{a} = \vec{b} \) then \( \vec{x} = \)
5 g of ice at $ -30^\circ \text{C} $ and 20 g of water at $ 35^\circ \text{C} $ are mixed in a calorimeter. The final temperature of the mixture is:
(Neglect heat capacity of the calorimeter. Specific heat capacities: ice = $ 0.5 \, \text{cal/g}^\circ\text{C} $, water = $ 1 \, \text{cal/g}^\circ\text{C} $, latent heat of fusion of ice = $ 80 \, \text{cal/g} $)

The IUPAC name of the following compound is:

If $x \neq 0$ and $f(x)$ satisfies $8f(x) + 6f\left(\dfrac{1}{x}\right) = x + 5$, then $\dfrac{d}{dx} \left(x^2 f(x)\right)$ at $x = 1$ is
In a photoelectric experiment, light of wavelength 800 nm produces photoelectrons with de Broglie wavelength 1 nm, and 400 nm light gives 0.5 nm. Find work function of the metal.
The correct statement of the following is
A capacitor \( C_1 = 1\, \mu\text{F} \) is charged using a 9 V battery. It is then disconnected and connected to capacitors \( C_2 = 2\, \mu\text{F} \) and \( C_3 = 3\, \mu\text{F} \) as shown. Find the charge on \( C_3 \) after equilibrium is reached.
A capacitor C1 = 1µF is charged using a 9 V battery
Three charges +5q, Q and -2q are kept along a straight line in the same order such that, +5q and -2q charges are at a distance of \(\frac{2r}{3}\) and \(\frac{r}{3}\) from the charge Q respectively. If the net force on the charge -2q is zero, then Q is
An optician prescribes a corrective lens of power +2D, then the focal length of the required convex lens is
The curve \( y = ax^3 + bx^2 + cx + 5 \) touches the x-axis at point \( P(-2, 0) \). Then the value of \( c \) is:
For the logic gates shown below, the correct output is
For the logic gates shown below, the correct output is
If \( f(x) \) is the antiderivative of \( g(x) \) and \[ \int f(x) g(x)(1 + f^2(x)) dx = F(x) \], then \( F(x) = \)
The gaseous mixture used for welding of metals is
A student is at a distance of 16 m from a bus. The bus starts accelerating from rest with $ a = 9 \, \text{m/s}^2 $. The minimum velocity with which the student should run towards the bus to catch it is $ \alpha \sqrt{2} \, \text{m/s} $. Find $ \alpha $.
\( \int \frac{e^{2x}}{\sin^2 x} \left( 2 \log \csc x + \sin 2x \right) dx = \)
Let \( A = (1, -2, 3) \), \( B = (3, 1, -3) \), \( C = (-3, 1, 3) \) be the vertices of triangle \( ABC \). If \( \cos \theta = \frac{\vec{AB} \cdot \vec{AC}}{|\vec{AB}||\vec{AC}|} \), then \( \cos A \) is:
A true statement among the following identities is
Toroid has 4900 turns, \( I = 12\ \text{A} \), average radius = \( 24.5\ \text{cm} \). Find magnetic field inside core.
A person writes letters to 6 friends and addresses envelopes. In how many ways can the letters be placed so that at least two go to wrong envelopes?
The eccentric angle of a point on the ellipse $x^2 + 3y^2 = 6$ lying at a distance of 2 units from its centre is
In a plane there are 37 straight lines of which 13 pass through point A and 11 pass through point B. Moreover, no three lines (apart from the lines passing through A and B) pass through same point and no two lines are parallel. What is the number of points of intersection of the straight lines?
At 25$^\circ$C, the solubility product of MCl is $1 \times 10^{-10}$. What is its molar solubility in 0.1 M NaCl solution at same temperature?
If a function \( f \) satisfies \( f(x+1) + f(x-1) = \sqrt{2}f(x) \), then \( f(x+2) + f(x-2) = \)