List of top Questions asked in AP EAPCET

The time taken by a net force of 10 N to change the velocity by 4 m/s of a body of mass 10 kg is:

According to Newton's law of cooling, the temperature of a body is $ T $ at time $ t $ and the temperature of the surroundings is $ T_s $. The rate of change of temperature is given by \[ \frac{dT}{dt} = k(T_s - T) \] If the initial temperature at time $ t = 0 $ is $ T_0 $, then the temperature $ T $ is:

Let $ A = \begin{bmatrix} \cos\theta & -\sin\theta \\ \sin\theta & \cos\theta \end{bmatrix} $, where $ \theta \in \mathbb{R} $. Then $ A^n $, for any positive integer $ n $, is equal to:

If $ 3 \cdot {}^5C_0 + 8 \cdot {}^5C_1 + 13 \cdot {}^5C_2 + 18 \cdot {}^5C_3 + 23 \cdot {}^5C_4 + 28 \cdot {}^5C_5 = k \cdot 2^5 $, then $ k = $

The polar of a point with respect to the circle $ x^2 + y^2 - 10x + 12y - 3 = 0 $, which is not a tangent and not a chord of contact, is:

If $ f(x) = \int \frac{dx}{x^2 + 2} $ and $ f(\sqrt{2}) = 0 $, then $ f(0) = $

If a seven digit number formed with distinct digits 4, 6, 9, 5, 3, $ x $ and $ y $ is divisible by 3, then the number of such ordered pairs $ (x, y) $ is

If $ \alpha $ and $ \beta $ are the roots of the equation $ 2x^2 - 4x + 3 = 0 $, then $ \frac{2(\alpha^4 + \beta^4) + 3(\alpha^2 + \beta^2)}{\alpha + \beta} = $

Ethane on heating with a regulated supply of air at high pressure in presence of manganese acetate forms 'Q'. 'Q' is

A ball is dropped from some height and after first collision with the ground if it reaches $ \frac{3}{4} $th of its original height, then the % loss of its energy is: Options:

If the tangent drawn at $ A(2, 1) $ to the curve $ x = 1 + \frac{1}{y^2} $ meets the curve again at $ B $, then

Two equipotential surfaces A and B are separated by a distance x. The work done in moving a charge -q from A to B is (Assume $\varepsilon_0$ = permittivity of free space)

The incorrect statement regarding the given circuit

What is the van't Hoff factor of Ferric Sulphate (Assume 100% ionization)?

Which of the following species has an unpaired electron?

Let $f:\mathbb{R} \to \mathbb{R}$ be a differentiable function such that $|f(x)-f(y)| \le 2|x-y|^{3/2} \ \forall x,y \in \mathbb{R}$. If $f(0)=1$, then $\int_0^1 f^2(x)dx=$

The electric field of an electromagnetic wave propagating in vacuum is given by $E = 35 \cos(kx - 4.5 \times 10^8 t)$ where $E_x$ and $t$ are in V/m and s respectively. The magnitude of the propagation vector $k$ is

If $ \cos\theta $, $ \sin\theta $, and $ \cot\theta $ are in geometric progression, then: \[ \sin^9\theta + \sin^6\theta + 3\sin^5\theta + \sin^3\theta + \sin^2\theta = \]

If $ \alpha = \log_e(2 + \sqrt{3}) $, then evaluate: \[ \frac{\cosh \alpha }{1 - \tanh \alpha} + \frac{\sinh \alpha}{1 - \coth \alpha} \]

The auto catalyst in the redox reaction involving acidified potassium permanganate and oxalic acid is

In $ \triangle ABC $, $ (\cot A + \cot B)(\cot B + \cot C)(\cot C + \cot A) = $

If \[ \left| 1 - \cos \left( \frac{\pi}{2} - \alpha \right) + \sin \left( \frac{3\pi}{2} - \alpha \right) \right| \left[ 1 - \sin \left( \frac{3\pi}{2} - \alpha \right) - \cos \left( \frac{\pi}{2} - \alpha \right) \right] = a + b \sin \left( \frac{\pi}{4} + \alpha \right) \] then $ a^2 + b^2 = $

For ozone molecule consider the following:
1. It is a linear molecule with bond angle $180^\circ$
2. It is an angular molecule with bond angle $117^\circ$
3. The bond lengths of both O-O bonds are same
4. With respect to oxygen it is thermodynamically more stable
The correct options are

$ \int_{-4\pi}^{4\pi} \tan^9 x \sin^6 x \cos^3 x \, dx = $

A gas of mass 'm' and molecular weight 'M' is flowing in an insulated tube with a velocity '2V'. If the flow of the gas is suddenly stopped and all the kinetic energy is utilized to compress the gas, the increase in the temperature of the gas is ($\gamma$ is ratio of specific heats, R is universal gas constant)