List of top Questions asked in AP EAPCET

Two charged particles of specific charges in the ratio 2:1 and masses in the ratio 1:4 moving with same kinetic energy enter a uniform magnetic field at right angles to the direction of the field. The ratio of the radii of the circular paths in which the particles move under the influence of the magnetic field is
A disc of mass 0.2 kg is kept floating in air without falling by vertically firing bullets each of mass 0.05 kg on the disc at the rate of 10 bullets per every second. If the bullets rebound with the same speed, then the speed of each bullet is (Acceleration due to gravity = 10 m/s$^2$)
The number of molecules having lone pair of electrons on central atom in the following is: BF$_3$, SF$_4$, SiCl$_4$, XeF$_4$, NCl$_3$, XeF$_6$, PCl$_5$, HgCl$_2$, SnCl$_2$
If the error in the measurement of the surface area of a sphere is 1.2%, then the error in the determination of the volume of the sphere is
\(\int_{-2\pi}^{2\pi} \sin^2(2x) \cos^4(2x) \, dx =\)
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
For all $n \in \mathbb{N}$, if $n(n^2+3)$ is divisible by $k$, then the maximum value of $k$ is
The artificial sweetener X contains glycosidic linkage and Y contains amide and ester linkages. X and Y respectively are
$\tan\left(\frac{2\pi}{7}\right)\tan\left(\frac{4\pi}{7}\right) + \tan\left(\frac{4\pi}{7}\right)\tan\left(\frac{\pi}{7}\right) + \tan\left(\frac{\pi}{7}\right)\tan\left(\frac{2\pi}{7}\right) =$
Two bodies A and B of masses 1.5 kg and 3 kg are moving with velocities 20 m/s and 15 m/s respectively. If the same retarding force is applied on the two bodies, then the ratio of the distances travelled by the bodies A and B before they come to rest is
If a force F = (3i - 2j) N acting on a body displaces it from point (1 m, 2 m) to point (2 m, 0 m), then work done by the force is
If the vectors \( 2\vec{i} - \vec{j} + 3\vec{k}, \vec{i} + 4\vec{j} + \vec{k}, 4\vec{i} + p\vec{j} + \vec{k} \) are coplanar, then \( p = \)
A particle of mass \( 0.2 \) g and charge \( 2 \) C is released from rest in a uniform electric field of \( 20 \) N/C. The kinetic energy of the particle after moving a distance of \( 20 \) cm is:
The sequence of reagents required to convert aniline to benzoic acid is:
If \( x = \sqrt{2}e^t(\sin t - \cos t) \) and \( y = \sqrt{2}e^t(\sin t + \cos t) \), then \( \left[ \frac{d^2y}{dx^2} \right]_{t=\frac{\pi}{4}} \) is:
For which reaction \( \Delta H \neq \Delta U \)?
If $\alpha$ is the maximum value and $\beta$ is the minimum value of $\cos^2 \frac{x}{4} + \sin \frac{x}{4}$, $x \in \mathbb{R}$, then $\alpha-\beta=$
Consider the following: Statement-I: In the extraction of Al by Hall-Heroult process, pure \( Al_2O_3 \) mixed with \( Na_3AlF_6 \) lowers its melting point and increases conductivity. Statement-II: Zirconium metal is purified by zone refining method. The correct answer is:
If $x>\sqrt{3}$ and $\frac{x^2+1}{(x^2+2)(x^2+3)}$ is expanded in terms of powers of $x$, then the coefficient of $x^{-8}$ is
At \( T \)(K), hydrogen and oxygen gases are mixed in the ratio of \( 1:2 \) by mass in a closed vessel of volume \( V \) litres. If the total pressure of the gaseous mixture is \( p \) atm, the partial pressure of oxygen (in atm) is:
At \( 298 \) K, \( \Delta U^\circ \) and \( \Delta S^\circ \) for the following reaction are \( -10.5 \) kJ and \( +44.1 \) J\( K^{-1} \); \( 2X(g) + Y(g) \longrightarrow 2Z(g) \). What is \( \Delta G^\circ \) (in kJ) for this reaction? (\( R = 8.314 \) J\( K^{-1} \)mol\(^{-1} \))
If the pressure on a body is increased from \( 200 \) kPa to \( 250 \) kPa, the volume of the body decreases by \( 0.25% \). The compressibility of the material of the body (in \( m^2 N^{-1} \)) is:
From a point \( P(-4, 0) \), two tangents are drawn to the circle \( x^2+y^2-4x-6y-12=0 \) touching the circle at \( A \) and \( B \). If the equation of the circle passing through \( P, A, B \) is \( x^2+y^2+2gx+2fy+c=0 \), then \( (g,f) = \):
If the lengths of the tangent, subtangent, normal, and subnormal for the curve \( y = x^2 + x - 1 \) at the point \( (1,1) \) are \( a, b, c, \) and \( d \) respectively, then their increasing order is:
The logic gate equivalent to the circuit shown in the figure is:
The logic gate equivalent