List of top Questions asked in AP EAPCET

A gas is taken through the cycle A → B → C → A as shown in the figure. The net work done by the gas after one cycle is

The area (in sq. units) of the region bounded by the curves \( y = 4 \cos x \) and \( y = -|\cos x| \) from \( x = -\frac{\pi}{2} \) to \( x = \frac{\pi}{2} \) is:
A hole is drilled from one end to the other end of Earth and an object of mass $m$ is dropped down the hole. The gravitational force acting on the object as a function of distance $r$ from the center of Earth is (Assume mass of Earth = $M$, radius = $R$, and uniform density)
If \( P, Q \) and \( R \) are \( 3 \times 3 \) matrices such that} \[ P = \begin{bmatrix} 3x^2 + x + 3 & 2x^2 - x + 4 & 7x^2 + 8x + 5 \\ 5x^2 + 3x + 2 & 4x^2 - 2x - 1 & 7x^2 + 5x + 8 \\ 3x^2 + 2x + 5 & 4x^2 - x - 2 & 3x^2 + 8x + 7 \end{bmatrix} = Px^2 + Qx + R \] then det \( R = \) ?
If \( \alpha = \log_e(2 + \sqrt{3}) \), then evaluate: \[ \frac{\cosh \alpha }{1 - \tanh \alpha} + \frac{\sinh \alpha}{1 - \coth \alpha} \]
If \( \vec{a} = 2\hat{i} - 5\hat{j} + 8\hat{k} \), \( \vec{b} = 7\hat{i} - 5\hat{j} + 3\hat{k} \), and \[ (\vec{2a} - \vec{3b}) \times (\vec{4a} + \vec{b}) = x\hat{i} + y\hat{j} + z\hat{k}, \] then \( x + y + z = \)
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 $\int_0^1 f^2(x)dx=$
Among the following, the quantity that is termed as gyro magnetic ratio is (Given: $m_e$ = mass of electron, $e$ = charge of electron)
A motor vehicle of mass 1000 kg is moving on a circular road having banking angle \( 30^\circ \) and coefficient of friction 0.2. Then the normal reaction force on the motor vehicle is about:
(Acceleration due to gravity = \( 10 \, \text{ms}^{-2} \))
A body rotating with uniform acceleration about its geometrical axis makes 8 rotations in the first 2 seconds. The number of rotations the body makes in the next 3 seconds is (Initially the body is at rest):
The angular speed of a rigid body rotating about a fixed axis is \( (8-2t) \) rad s\(^{-1}\). The angle through which the body rotates before it comes to rest is:
Chemistry of lanthanides ($ \text{Ln} $) is dominated by +3 oxidation state. Which of the following is incorrect?
Which of the following statement(s) is/are correct?
5.0 mL of [AgI] / Ag$^+$ sol is coagulated by the addition of 15 mL of 0.001 M potassium iodide solution. The flocculation value of potassium iodide is
A tank is filled with benzene to a height of \(120~\text{mm}\). The apparent depth of a needle lying at the bottom of the tank, as seen through a microscope, is found to be \(80~\text{mm}\). The refractive index of benzene is
The number of words that can be formed using the letters of the word VOWEL such that vowels always remain together is:
If 5 dice are rolled simultaneously, then the number of ways of getting a total of 7 from the numbers on their faces is:
Monomers of nylon 2-nylon 6 are:
\( \int_{-4\pi}^{4\pi} \tan^9 x \sin^6 x \cos^3 x \, dx = \)
An electron, a proton and an alpha particle are moving with same kinetic energy. If $ \lambda_1, \lambda_2, \lambda_3 $ are the de Broglie wavelengths of the electron, proton and alpha particle respectively, then
At T (K), a closed vessel containing 2 g of an ideal gas (A) (molar mass = $ M_A $) exerted a pressure of 1 atm. When 16 g of another ideal gas (B) (molar mass = $ M_B $) was introduced into this vessel, the pressure increased to 2 atm. What is the correct relationship between $ M_A $ and $ M_B $?
When a spring of force constant \(200~\text{Nm}^{-1}\) is compressed by a force of \(10~\text{N}\), then the compression in the spring is
The part of the stress-strain curve where the Hooke's Law is valid is
stress-strain curve where the Hooke’s Law is valid is
Relative stability orders of +1, +3 oxidation states of Ga, In, Tl are respectively
Observe the following equilibrium at T(K) \[ H_2(g) + I_2(g) \rightleftharpoons 2HI(g) \] Which one of the following does not disturb the above equilibrium?