List of top Questions asked in AP EAPCET

A solid of mass 1 kg has $6 \times 10^{24}$ atoms. If one electron is removed from every one atom of 0.005% of the atoms, then the charge gained by the solid is

The enthalpy of formation of $ \text{CO}_2(\text{g}) $ and $ \text{H}_2\text{O}(l) $ are $-393.5$ and $-286 \text{ kJ mol}^{-1}$ respectively. If the heat of combustion of $ \text{CH}_3\text{OH}(l) $ is $-749 \text{ kJ mol}^{-1}$, the enthalpy of formation of $ \text{CH}_3\text{OH}(l) $ $in \text{kJ mol}^{-1}$ is

If $ y = \tan^{-1}\left(\frac{x}{1+2x^2}\right) + \tan^{-1}\left(\frac{x}{1+6x^2}\right) $, then $ \frac{dy}{dx} = $

The internal energy of one mole of a rigid diatomic gas at absolute temperature $ T $ is:

If $ \vec{u}, \vec{v}, \vec{w} $ are non-coplanar vectors and $ p, q $ are real numbers, then the equality:

\[ [3\vec{u} \quad p\vec{v} \quad p\vec{w}] - [p\vec{v} \quad \vec{w} \quad q\vec{u}] - [2\vec{w} \quad q\vec{v} \quad q\vec{u}] = 0 \]

holds for:

In which one of the following complexes the metal ion has $ t_{2g}^3 e_g^2 $ configuration?

The de Broglie wavelength associated with an electron accelerated through a potential difference of $ \frac{200}{3} \ \text{V} $ is nearly

If $\cos\theta = -\frac{3}{5}$ and $\theta$ does not lie in second quadrant, then $\tan\frac{\theta}{2} =$

If the least positive integer $ n $ satisfying the equation $\left(\frac{\sqrt{3}+i}{\sqrt{3}-i}\right)^n = -1$ is $ p $ and the least positive integer $ m $ satisfying the equation $\left(\frac{1-\sqrt{3}i}{1+\sqrt{3}i}\right)^m = \text{cis}\left(\frac{2\pi}{3}\right)$ is $ q $, then $\sqrt{p^2 + q^2}$ is equal to:

How many moles of $\mathrm{CO_2}$ are produced when 4 moles of $\mathrm{C_2H_6}$ (ethane) combust completely?
Given reaction: \[ 2 \mathrm{C_2H_6} + 7 \mathrm{O_2} \rightarrow 4 \mathrm{CO_2} + 6 \mathrm{H_2O} \]

Which of the following is used as froth stabilizer in froth floatation process?

If $ (a + \sqrt{2}b \cos x)(a - \sqrt{2}b \cos y) = a^2 - b^2 $, where $ a>b>0 $, then at $ \left( \dfrac{\pi}{4}, \dfrac{\pi}{4} \right) $, $ \dfrac{dy}{dx} = $

For a reaction: $ A + B \rightarrow \text{Products} $ It is found that doubling the concentration of A doubles the rate, while doubling B increases the rate fourfold. What is the overall order of the reaction?

If $ A = \begin{pmatrix} 1 & 2 & 3 \\ 1 & 3 & 5 \\ 2 & 1 & 6 \end{pmatrix} $ and $ |adj(adj(A))|(adj A)^{-1} = kA $, then k =

The work done to increase the volume of 2 moles of an ideal gas from $ V $ to $ 2V $ at a constant temperature $ T $ is $ W $. The work to be done to increase the volume of 2 moles of the same gas from $ 2V $ to $ 4V $ at the same constant temperature $ T $ is:

If the equation for the velocity of a particle at time 't' is $v = at + \frac{b}{t+c}$, then the dimensions of a, b, c are respectively

If the least distance of distinct vision for a boy is $ 35 \, \text{cm} $, then the lens to be used by the boy for correcting the defect of his eye is

Let $ A(2, 3, 5), B(-1, 3, 2), C(\lambda, 5, \mu) $ be the vertices of $ \triangle ABC $. If the median through the vertex $ A $ is equally inclined to the coordinate axes, then

The adsorption of a gas on a solid surface follows Freundlich adsorption isotherm. At $ T $(K), the gas pressure is $ 2 $ atm. What is the value of $ \frac{x}{m} $? ($ n = 2 $ and $ k $ = constant)

If

\[ \cos x + \sin x = \frac{1}{2} \]

and

\[ 0 < x < \pi, \text{ then } \tan x = \ ? \]

A line $L_1$ passing through the point of intersection of the lines $x-2y+3=0$ and $2x-y=0$ is parallel to the Line $L_2$. If $L_2$ passes through origin and also through the point of intersection of the lines $3x-y+2=0$ and $x-3y-2=0$, then the distance between the lines $L_1$ and $L_2$ is

The number of solutions of the equation $\sec x \cos 5x + 1 = 0$ in the interval $[0, 2\pi]$ is