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AP EAPCET 2026
List of top Questions asked in AP EAPCET- 2026
A particle is executing SHM of amplitude \(4\text{ cm}\) and time period \(4\text{ s}\). The time taken by it to move from positive extreme position to half the amplitude is
AP EAPCET - 2026
AP EAPCET
Physics
Simple Harmonic Motion
Let \[ f(x)=\int \frac{\sqrt{x}}{(1+x)^2}\,dx \quad (x\geq 0) \] Then \[ f(3)-f(1) \] is equal to:
AP EAPCET - 2026
AP EAPCET
Mathematics
Definite and indefinite integrals
Identify the correct set of molecules with zero dipole moment:
AP EAPCET - 2026
AP EAPCET
Mathematics
Trigonometry
In a triangle \(\triangle ABC\), if \(a, b,\) and \(c\) are in arithmetic progression, then \(\cos A + 2 \cos B + \cos C =\)
AP EAPCET - 2026
AP EAPCET
Mathematics
Trigonometry
Identify the correct set of molecules with zero dipole moment:
AP EAPCET - 2026
AP EAPCET
Chemistry
Molecular Polarity
Identify the correct set of molecules with zero dipole moment:
AP EAPCET - 2026
AP EAPCET
Chemistry
Chemical bonding and molecular structure
Which of the following sets are correctly matched? {|c|c|c|} Set & Molecule & Geometry
I & $\text{BrF}_5$ & Square pyramidal
II & $\text{XeF}_6$ & Distorted octahedral
III & $\text{SF}_4$ & Square planar
IV & $\text{PbCl}_2$ & Linear
AP EAPCET - 2026
AP EAPCET
Chemistry
Chemical bonding and molecular structure
Consider the equilibrium reactions:
The equilibrium constant, $K_c$, for the overall dissociation \[ H_3PO_4 \rightleftharpoons 3H^+ + PO_4^{3-} \] is:
AP EAPCET - 2026
AP EAPCET
Chemistry
Equilibrium
The energy of the second bohr orbit of the hydrogen atom is $-328 \text{ kJ mol}^{-1}$; hence the energy of the fourth bohr orbit would be:
AP EAPCET - 2026
AP EAPCET
Chemistry
Structure of atom
If the area of triangle \(ABC\) is \(b^2 - (c - a)^2\), then \(\tan B =\)
AP EAPCET - 2026
AP EAPCET
Mathematics
Trigonometry
In a \(\triangle ABC\), \(a = 1, b = \sqrt{3}\) and \(\angle C = \frac{\pi}{6}\). Then the measure of the third side \(c =\)
AP EAPCET - 2026
AP EAPCET
Mathematics
Trigonometry
If \(I = \int \frac{\sin x + \sin^3 x}{\cos 2x} dx = P \cos x + Q \log \left| \frac{\sqrt{2} \cos x - 1}{\sqrt{2} \cos x + 1} \right|\) (where \(c\) is a constant of integration), then values of \(P\) and \(Q\) are respectively
AP EAPCET - 2026
AP EAPCET
Mathematics
Calculus
The value of \[ \lim_{n \to \infty} \left\{ \frac{1}{n+m} + \frac{1}{n+2m} + \frac{1}{n+3m} + \dots + \frac{1}{n+nm} \right\} \] is:
AP EAPCET - 2026
AP EAPCET
Mathematics
Calculus
The coordinates of a particle moving in x-y plane at any instant of time \(t\) is \(x = 4t^2\); \(y = 3t^2\). The speed of the particle at that instant is:
AP EAPCET - 2026
AP EAPCET
Physics
Kinematics
A thin metal disc of radius \(r\) floats on water surface and bends the surface downwards along the perimeter making an angle \(\theta\) with vertical edge of the disc. If the disc displaces a weight of water \(W\) and surface tension of water is \(T\), then the weight of metal disc is
AP EAPCET - 2026
AP EAPCET
Physics
Fluid Mechanics
The masses of two particles having same kinetic energies are in the ratio \(2 : 1\). Then their de Broglie wavelengths are in the ratio.
AP EAPCET - 2026
AP EAPCET
Physics
Dual nature of matter
If \(x\) and \(y\) be the distances of the object and images formed by a concave mirror from its focus and \(f\) be the focal length then:
AP EAPCET - 2026
AP EAPCET
Physics
Ray optics and optical instruments
If the direction ratios of two lines are given by $ l + m + n = 0 $ and $ mn - 2ln + lm = 0 $, then the angle between the lines is:
AP EAPCET - 2026
AP EAPCET
Mathematics
3D Geometry
The energy of the second bohr orbit of the hydrogen atom is $-328 \, \text{kJ mol}^{-1}$; hence the energy of the fourth bohr orbit would be:
AP EAPCET - 2026
AP EAPCET
Chemistry
Bohr Model Of The Hydrogen Atom
Two polaroids are oriented with their principal planes making an angle of $60^\circ$. Then the percentage of incident unpolarized light which passes through the system is:
AP EAPCET - 2026
AP EAPCET
Physics
Polarization
The IUPAC name of an element with atomic number 119 is:
AP EAPCET - 2026
AP EAPCET
Chemistry
Periodic Table
The radius in the hydrogen atom in the ground state is $0.53$ \AA. The radius of $Li^{+2}$ ion (atomic number $= 3$) in a similar state is \ldots..
AP EAPCET - 2026
AP EAPCET
Chemistry
Bohr Model Of The Hydrogen Atom
The potential energy of a simple harmonic oscillator when the particle is half way to its end point is (where $ E $ is the total energy):
AP EAPCET - 2026
AP EAPCET
Physics
Simple Harmonic Motion
A current loop of magnetic moment $ 0.5 \, \text{Am}^2 $ is placed in a magnetic field of $ 0.4 \, \text{T} $. If the loop is rotated from an angle of $ 0^\circ $ to $ 180^\circ $, what is the change in potential energy?}
AP EAPCET - 2026
AP EAPCET
Physics
Magnetic Effects of Current and Magnetism
The equation of path of a projectile moving in x-y plane is given by $ y = x - \frac{x^2}{25} $, then the initial speed and maximum height of particle will be (take $ g = 10 \, \text{m/s}^2 $):
AP EAPCET - 2026
AP EAPCET
Physics
Motion in a plane
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