List of top Questions asked in AP EAPCET

\( \int \left( \sum_{r=0}^{\infty} \frac{x^r 2^r}{r!} \right) dx = \)
Let \( \vec{a} = 2\vec{i} + \vec{j} - 2\vec{k} \) and \( \vec{b} = \vec{i} + \vec{j} \) be two vectors. If \( \vec{c} \) is a vector such that \( \vec{a} \cdot \vec{c} = |\vec{c}| \), \( |\vec{c} - \vec{a}| = 2\sqrt{2} \) and the angle between \( \vec{a} \times \vec{b} \) and \( \vec{c} \) is \( 30^\circ \), then \( |(\vec{a} \times \vec{b}) \times \vec{c}| = \)
Images of same size are formed by a convex lens when an object is placed either at 20 cm or 10 cm distance from the lens. The focal length of the lens is
In a binomial distribution, if \(n=4\) and \( P(X=0) = \frac{16}{81} \), then \( P(X=4) = \)
The ratio of the wavelengths of the first Lyman line and the second Balmer line of hydrogen atom is
The transformed equation of \( 3x^2 - 4xy = r^2 \) when the coordinate axes are rotated about the origin through an angle of \( \tan^{-1}(2) \) in positive direction is
If the threshold wavelength of light for photoelectric emission to take place from a metal surface is \( 6250 \, \text{\AA} \), then the work function of the metal is (Planck's constant \( = 6.6 \times 10^{-34} \, \text{Js} \))
The device used for voltage regulation is
A circle passing through the point (1,0) makes an intercept of length 4 units on X-axis and an intercept of length \(2\sqrt{11}\) units on Y-axis. If the centre of the circle lies in the fourth quadrant, then the radius of the circle is
When a stretched wire of fundamental frequency f is divided into three segments, the fundamental frequencies of these three segments are \(f_1\), \(f_2\) and \(f_3\) respectively. Then the relation among \(f, f_1, f_2, f_3\) and f is (Assume tension is constant) % "and f is" seems redundant
The correct statement regarding X and Y in the following set of reactions is
If the degrees of freedom of a gas molecule is 6, then the total internal energy of the gas molecule at a temperature of \( 47 \ , ^\circ\text{C} \) (in eV) is (Boltzmann constant \( = 1.38 \times 10^{-23} \ , \text{J K}^{-1} \))
A balloon with mass 'm' is descending vertically with an acceleration 'a' (where a \(<\) g). The mass to be removed from the balloon, so that it starts moving vertically up with an acceleration 'a' is
If the perpendicular distance from the focus of a parabola \(y^2=4ax\) to its directrix is \( \frac{3}{2} \), then the equation of the normal drawn at \( (4a, -4a) \) is
A metallic disc of radius 0.3 m is rotating with a constant angular speed of \( 60 \, \text{rad s}^{-1} \) in a plane perpendicular to a uniform magnetic field of \( 5 \times 10^{-2} \, \text{T} \). The emf induced between a point on the rim and the centre of the disc is
A resistor of \(450 \, \Omega\) and an inductor are connected in series to an ac source of frequency \( \frac{75}{\pi} \, \text{Hz} \). If the power factor of the circuit is 0.6, then the inductance connected in the circuit is
The number of significant figures in the simplification of \( \frac{0.501}{0.05}(0.312-0.03) \) is
Each nuclear fission of \( {}^{235}\text{U} \) releases 200 MeV of energy. If a reactor generates 1 MW power, then the rate of fission in the reactor is
The resistance of a conductivity cell filled with 0.1 M KCl solution is \(100 \, \Omega\). If the resistance of the same cell when filled with 0.02 M KCl solution is \(520 \, \Omega\), the molar conductivity of 0.02 M solution (in S cm\(^2\) mol\(^{-1}\)) is (Given: conductivity of 0.1 M KCl solution = \(1.29 \, \text{S m}^{-1}\))
In a first order reaction, the concentration of the reactant is reduced to 1/8 of the initial concentration in 75 minutes. The \(t_{1/2}\) of the reaction (in minutes) is (\(\log 2 = 0.30, \log 3 = 0.47, \log 4 = 0.60\))
For which of the following the \( E^\ominus (M^{3+}/M^{2+}) \) is negative?
The correct order of the non-metallic character among the elements B, C, N, F and Si is
If four letters are chosen from the letters of the word ASSIGNMENT and are arranged in all possible ways to form 4 letter words (with or without meaning), then total number of such words that can be formed is
How many of the following molecules have two lone pairs of electrons on central atom? SF\(_6\), BF\(_3\), ClF\(_3\), PCl\(_5\), BrF\(_5\), XeF\(_4\), H\(_2\)O, SF\(_4\)
The pair of molecules / ions with the same bond order value is