List of top Questions asked in AP EAPCET

Some statements about Leclanche ll are:
Anode is zinc metal
Cathode is graphite rod surrounded by powdered {MnO2} and carbon
Electrolyte is a moist paste of ZnO and KOH
Oxidation product is ZnO

A particle of charge $ q $ is shot with speed $ V $ towards another fixed particle of charge $ Q $. It reaches the closest distance $ r $ and then returns. If $ q $ were shot with speed $ 2V $, then the closest distance of approach of $ Q $ is:

Flux coming out from a unit positive charge kept in air is

Evaluate $ \cot 16^\circ \cot 44^\circ + \cot 44^\circ \cot 76^\circ - \cot 76^\circ \cot 16^\circ $:

The image formed by a convex mirror of focal length 30 cm is a quarter of the size of the object. The distance of the object from the mirror is

Match the following.

If the cofactors of the elements 3, 7, and 6 of the matrix $ \begin{bmatrix} 1 & 2 & 3 \\ 4 & -1 & 7 \\ 2 & 4 & 6 \end{bmatrix} $ are $ a, b, c $ respectively, then evaluate: \[ \left[ a \ b \ c \right] \begin{bmatrix} 1 \\ 4 \\ 2 \end{bmatrix} + \left[ a \ b \ c \right] \begin{bmatrix} 3 \\ 7 \\ 6 \end{bmatrix} \]

The line $ x + y = k $ meets the curve $ x^2 + y^2 - 2x - 4y + 2 = 0 $ at two points $ A $ and $ B $. If $ O $ is the origin and $ \angle AOB = 90^\circ $, then the value of $ k $ ($ k>1 $) is

The density of a substance is 4 g/cc. In a system in which the unit of length is 5 cm and the unit of mass is 20 g, the density of the substance is:

To generate the high magnetic fields, the synchrotron uses

The electrolyte used in mercury cell is

Nucleotides in RNA are joined by which of the following phosphodiester linkages?

If Young’s modulus of elasticity is $Y = \dfrac{2mg l^2}{5b t e}$, where ‘g’ is the acceleration due to gravity, ‘m’ is the mass, ‘l’ is the length, ‘b’ is the breadth, ‘t’ is the thickness and ‘e’ is the elongation, then the value of $k$ is

If $ \cosh x = \frac{5}{4} $, then $ \tanh 3x = $

With respect to air, the critical angle in a medium for red light of wave length $ \lambda_1 $ is $ \theta $. Other facts remaining same, the critical angle for yellow light of wave length $ \lambda_2 $ will be Options:

If $u = \sin\left(\frac{x}{y}\right),\ x = e^t,\ y = t^2$, then \[ t^6 \left(\frac{du}{dt}\right)^2 \div e^{2t}(t - 2)^2 = \]

Among the following the least unit for length is

If \[ \frac{d}{dx}\left( \frac{x^2}{(x+2)(2x+3)} \right) = \frac{-A}{(x+2)^2} + \frac{B}{(2x+3)^2}, \] then the value of $ A + B = $:

If the roots of the equation $ 3x^2 + 4kx + 3 = 0 $ are non-real, then $ k $ lies in the interval:

If $ f'(x) = a \cos x + b \sin x $, $ f'(0) = 4 $, $ f(0) = 3 $, and $ f\left( \frac{\pi}{2} \right) = 5 $, then $ f(x) = $

In a Carnot engine, if the temperatures of the source and sink are both decreased by 100 K, the efficiency:

Let $ A = \begin{pmatrix} 0 & 3 & 5 & -7 \\ 8 & 0 & -1 & 0 \\ 6 & -1 & 0 & 0 \end{pmatrix} $ and $ X = \begin{pmatrix} x \\ y \\ z \end{pmatrix} $. If $ D = [\alpha \, \beta \, \gamma]^T $ is the solution of $ X^T B^T = A^T X $, then $ D^T A = $