List of top Questions asked in AP EAPCET- 2026

When \(g\) is the acceleration due to gravity on earth, the gain in potential energy of an object of mass \(m\) raised from the surface of earth to a height equal to the radius of earth \(R\) is
A particle is executing simple harmonic motion with amplitude \(A\). The position at which kinetic energy and potential energy are equal is given by
Two particles of masses \(4\,\text{g}\) and \(2\,\text{g}\) are separated by a distance of \(60\,\text{cm}\). The centre of mass of the system of these two particles is
A \(1000\,\text{kg}\) car moves at \(20\,\text{m s}^{-1}\). The power required to maintain this speed against a resistive force of \(500\,\text{N}\) is
A \(3\,\text{kg}\) block on a rough incline of angle \(37^\circ\) is connected to a hanging mass of \(4\,\text{kg}\). If the coefficient of friction between the \(3\,\text{kg}\) block and the rough incline is \(\mu=0.25\), then the acceleration of the system is \[ g=10\,\text{m s}^{-2}, \qquad \sin37^\circ=0.6, \qquad \cos37^\circ=0.8 \]
A stream of water flowing horizontally with a speed of \(15\,\text{m s}^{-1}\) gushes out of a tube of cross-sectional area \(10^{-2}\,\text{m}^2\) and hits a vertical wall nearby. Assuming water does not rebound, the force exerted on the wall by the impact of water is
If \[ a=-kv \] represents the variation of acceleration of a particle with velocity, then the time taken to reduce the velocity from \(v\) to \(\dfrac{v}{2}\) is
The general solution of the differential equation \[ \frac{dy}{dx}+\frac{y}{x}=x^2 \] is
Evaluate \[ \int_{1/e}^{e^2} \left| \frac{\log_e x}{x} \right| \,dx \]
If \[ \int \frac{dx}{2\sin^2x+\sin2x} = \frac12\log|f(x)|+C \] and \[ f\!\left(\frac{\pi}{4}\right)=\frac12, \] then \(f(x)\) is
If \[ \int \frac{2\cos x+3\sin x} {3\cos x+4\sin x}\,dx = Ax+B\log|3\cos x+4\sin x|+C, \] then \[ A\cdot B= \]
The closest point on the parabola \[ y=x^2+7x+2 \] to the straight line \[ y=3x-2 \] is
If \[ \int 4^x \cdot 4^{4^x}\cdot 4^{\,4^{4^x}}\,dx = A\,4^{\,4^{4^x}}+C, \] then \(A=\)
Evaluate \[ \lim_{n\to\infty} \frac{1+2^4+3^4+\cdots+n^4}{n^5} - \lim_{n\to\infty} \frac{1+2^3+3^3+\cdots+n^3}{n^5}. \]
The pressure applied on a cube from all sides is \(P\). In order to keep its volume constant, the temperature of the cube is to be raised by (The bulk modulus and the coefficient of volume expansion of the material of the cube are \(\beta\) and \(\alpha\) respectively)
The displacement of a particle executing simple harmonic motion is given by \[ x=6\sin\left(2\pi t+\frac{\pi}{4}\right)\,\text{m}. \] The amplitude and maximum speed are respectively
A massless spring with spring constant \(k\) is fixed at its upper end. A block of mass \(M\) is attached to the lower end of the spring and released from rest in its unstretched position. The maximum elongation of the spring is
A swimmer can swim at \(5\,\text{m s}^{-1}\) in still water. River flows at \(3\,\text{m s}^{-1}\). To cross the river in shortest time, the angle with respect to the perpendicular to the flow is
A balloon is rising vertically upwards with a velocity of \(10\,\text{m s}^{-1}\). When the balloon is at a height of \(40\,\text{m}\) from the ground, a stone is dropped from it. The time taken by the stone to reach the ground is (Take \(g=10\,\text{m s}^{-2}\)).
If \(A\), \(B\) and \(C\) represent work done, distance and electric charge respectively, then the physical quantity having the dimensions of \[ \frac{C^2}{AB} \] is
If \[ f(x)=\frac1{x^2}\int_{3}^{x}\left(2t-3f'(t)\right)\,dt, \] then \[ f'(3)= \]
If \[ \int \frac{dx}{\sin^3x+\cos^3x} = A\log\left| \frac{\sqrt2+t}{\sqrt2-t} \right| + B\tan^{-1}(t)+C, \] then \[ \left(\frac{B}{A},\,t\right) = \]
In which of the following reactions, chlorine undergoes disproportionation? \[ \begin{aligned} \text{I.} \quad & \text{Reaction with cold, dilute NaOH} \\ \text{II.} \quad & \text{Reaction with hot, concentrated NaOH} \\ \text{III.} \quad & \text{Reaction with } \mathrm{H_2S} \end{aligned} \] The correct answer is
Which of the following complexes do not exhibit geometrical isomerism? \[ \begin{aligned} \text{I.} \quad & [\mathrm{CrF_2(H_2O)_4}]Cl_2 \\ \text{II.} \quad & [\mathrm{Co(en)_3}]^{3+} \\ \text{III.} \quad & [\mathrm{CoF(NH_3)_5}](\mathrm{NO_3})_2 \end{aligned} \] The correct answer is
Which of the following are the correct statements about lead storage battery? \[ \begin{aligned} \text{I.} \quad & \text{It is a secondary battery.} \\ \text{II.} \quad & \text{In this cell, the cathode is packed with } \mathrm{PbO_2} \text{ and the anode is filled with lead.} \\ \text{III.} \quad & \text{In this type } \mathrm{H_2SO_4} \text{ acts as electrolyte.} \\ \text{IV.} \quad & \text{During use of the battery, concentration of } \mathrm{H_2SO_4} \text{ decreases.} \end{aligned} \] The correct answer is