List of top Questions asked in AP EAPCET- 2023

A polymer sample contains 5 molecules of molar mass 1000, 3 molecules of molar mass 500 and 2 molecules of molar mass 250. What is its weight average molecular weight (Mw)?
If \( \alpha \) and \( \beta \) are respectively the order and degree of the differential equation \[ y = e^{\frac{d^2y}{dx^2}}, \] then the value of \( \alpha + \alpha^\beta + \alpha^{2\beta} + \dots + \alpha^{2023\beta} \) is:
Evaluate the following integral: \[ \int (x^3 + x^2 m + x^m) (2x^{2m} + 3x^m + 6x^m) \, dx \]
Evaluate: \[ \frac{1}{\cos 290^\circ} + \frac{1}{\sqrt{3} \sin 250^\circ} \]
Let \( f(x) = |x| \) and \( g(x) = |x| + a \), \( (a>0) \). For \( 0 \le x \le b \), \( \{(x, y) / g(x) \le y \le f(x)\} \) represents all the points in the interior of
The sum of the global minimum and global maximum values of the function \[ f(x) = \frac{4}{3}x^3 - 4x \quad \text{in } [0, 2] \text{ is} \]
The magnetic field lines of a bar magnet
Which of the following ions has [Xe] 4f$^7$ 6s$^0$ as outer electronic configuration?
Among the following organic halides in the increasing order of their dehydrohalogenation reactions in the presence of alcoholic KOH
dehydrohalogenation reactions
If the roots of the equation \[ 6x^3 - 11x^2 + 6x - 1 = 0 \] are in harmonic progression, then the roots of \[ x^3 - 6x^2 + 11x - 6 = 0 \] will be in
Evaluate the integral: \[ \int_0^1 \left( \sqrt{10} \right)^{2x} \, dx \]
A body is thrown vertically upwards with an initial velocity \( u \). If \( g \) is the acceleration due to gravity, then the total time taken for the body to return to the starting point is:
A car is moving along a circular path having coefficient of friction 0.5 and radius of curvature 16.2 m. Then the maximum velocity of the car that can travel without falling outwards is (Acceleration due to gravity = 10 ms\(^{-2} \))
Which one of the following functions is discontinuous at $x=1$?
Let \( S = \{ z \in \mathbb{C} : |z - 1 + i| = 1 \} \) represents:
If \[ \int \frac{x^3}{\sqrt{1 + x^2}} \, dx = A(1 + x^2)^{\frac{3}{2}} + B(1 + x^2)^{\frac{1}{2}} + C, \text{ then } A + B = \]
Inside a charged hollow sphere, at any point the electric field \( E \) and potential \( V \) are:
In \(\triangle ABC\), if \(a, b, c\) are in arithmetic progression and \(C = 2A\), then \(a : c = \)
The time required (in hours) to reduce 3 mol of \( Fe^{3+} \) ions to \( Fe^{2+} \) ions with 2.0 amperes of current is (1 F = 96500 C mol\(^{-1} \))
Which of the following is not the property of covalent substances?
A liquid of density 800 kg/m$^3$ is used instead of mercury in the Torricelli barometer. What is the height of the liquid column if atmospheric pressure is 76 cm of Hg? (Density of mercury = $13.6 \times 10^3$ kg/m$^3$)
A stone thrown with velocity \( u \) at angles \( \theta \) and \( (90^\circ - \theta) \) with the horizontal reaches maximum heights \( H_1 \) and \( H_2 \) respectively. Its horizontal range is
If $ X $ is a random variable with the probability distribution \[ P(X = k) = \frac{(k+1)c}{2^k}, \quad k = 0, 1, 2, ..., \] then $ P(X \geq 3) $ is:
If \( A = \begin{bmatrix} 1 & 0 & 1 \\ 0 & 1 & 1 \\ 0 & 1 & 0 \end{bmatrix} \), then \( A^{-1} \) = ?
If \( r_1 \) and \( r_2 \) are the angles of refraction at the first face and second face of a prism, then the angle of the prism is: