List of top Questions asked in AP EAPCET

If $ z = 1 + i $, find the modulus of $ z^2 $.

A particle is projected with a velocity of 20 m/s at an angle of 30° to the horizontal. What is the maximum height reached? (Take $ g = 10 \, \text{m/s}^2 $).

Calculate the empirical formula of a compound containing 40% carbon, 6.7% hydrogen, and 53.3% oxygen by mass.

A body is thrown vertically upward with a velocity of 20 m/s. What is the maximum height reached by the body? (Take $ g = 10 \, \text{m/s}^2 $)

A current of 3 A flows through a wire of resistance 4 $\Omega$. What is the power dissipated in the wire?

If $ \log_2(x + 1) = 3 $, what is the value of $ x $?

A force of 20 N is applied to push a 4 kg block on a frictionless surface. What is the acceleration of the block?

What is the molarity of a solution prepared by dissolving 5 moles of solute in 2 liters of solution?

How many moles are there in 18 grams of water ($ \text{H}_2\text{O} $)? (Atomic masses: H = 1, O = 16)

The equation of the circle with center at $ (2, -3) $ and radius $ 5 $ is:

A box contains 5 red balls and 3 green balls. Two balls are drawn at random without replacement. What is the probability that both balls are red?

If $\sin \theta = \frac{3}{5}$ and $ \theta $ is in the first quadrant, what is $ \tan \theta $?

If the roots of the quadratic equation $ 2x^2 - 3x + 1 = 0 $ are $ \alpha $ and $ \beta $, what is the value of $ \alpha^2 + \beta^2 $?

Let $ f(x) = 2x^3 - 3x \neq 4 $. Then the inverse function $ f^{-1}(x) $ is:

Let $ A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} $, then $ A^2 - 5A + 6I = ? $

For the reaction $N_2(g) + 3H_2(g) \rightleftharpoons 2\text{NH}_3(g)$ at 298 K, the enthalpy change $ \Delta H = -92.4 \, \text{kJ/mol} $. What happens to the equilibrium when temperature is increased?

Calculate the molality of a solution prepared by dissolving 10 g of NaCl ($ M = 58.5 \, \text{g/mol} $) in 500 g of water:

Calculate the volume occupied by 4.4 g of CO$_2$ gas at 27°C and 1 atm pressure. ($ R = 0.0821 \, \text{L-atm/mol-K} $, Molar mass of CO$_2$ = 44 g/mol)

For a first-order reaction, the rate constant $ k $ is $ 1.386 \times 10^{-3} \, \text{s}^{-1} $. What is the half-life $ t_{1/2} $ of the reaction? (Use $ \ln 2 = 0.693 $)

In a redox titration, 25 mL of 0.1 M KMnO$_4$ is required to completely react with oxalic acid in acidic medium. The volume of 0.2 M oxalic acid used is:
(Balanced reaction: $ 2\text{MnO}_4^- + 5\text{C}_2\text{O}_4^{2-} + 16\text{H}^+ \rightarrow 2\text{Mn}^{2+} + 10\text{CO}_2 + 8\text{H}_2\text{O} $)

A charged particle of mass $ m $ and charge $ q $ moves with a velocity $ \vec{v} $ perpendicular to a magnetic field $ \vec{B} $. The radius of the circular path it follows is:

A pipe closed at one end and open at the other resonates at a fundamental frequency of 340 Hz. If the speed of sound in air is 340 m/s, the length of the pipe is:

A solid sphere of mass $ M $ and radius $ R $ is rolling without slipping with speed $ v $. Its total kinetic energy is:

Let a circle pass through the point $ (1, 2) $ and touch the $ x $-axis at $ (3, 0) $. Then the equation of the circle is:

If $ \tan \theta = \frac{3}{4} $ and $ \theta $ is in the first quadrant, find the value of $ \sin \theta + \cos \theta $.