List of top Questions asked in AP EAPCET

A parallel plate capacitor has plates of area 0.4 m$^2$ and spacing of 0.5 mm. If a slab of thickness 0.5 mm and dielectric constant 4.5 is introduced between the plates of the capacitor, then the capacitance of the capacitor is

If the range of a body projected with a velocity of 60 m/s is $ 180\sqrt{3} $ m, then the angle of projection of the body is (Acceleration due to gravity = 10 m/s$^2$)

If $X$ is a binomial variate with mean $\frac{16}{5}$ and variance $\frac{48}{25}$, then $P(X \leq 2) =$

The solution of the differential equation $ x^2 (y + 1) \frac{dy}{dx} + y^2 (x + 1) = 0 $, when $ y(1) = 2 $, is

Two bodies A and B of masses 1.5 kg and 3 kg are moving with velocities 20 m/s and 15 m/s respectively. If the same retarding force is applied on the two bodies, then the ratio of the distances travelled by the bodies A and B before they come to rest is

If the probability distribution of a random variable X is as follows, then the mean of X is

X = x_i	-1	0	1	2
P(X = x_i)	k³	2k³ + k	4k - 10k²	4k - 1

Match the following:
List-I (Process)
A. Hall-Heroult process
B. Mond process
C. Van-Arkel process
D. Zone refining process
List-II (Metal)
I. Ti
II. In
III. Al
IV. Ni

If a travelling wave is given by $ y(x, t) = 0.5 \sin(70.1x - 10\pi t) $, where $ x $ and $ y $ are in metres, the time $ t $ is in seconds, then the frequency of the wave is

If $x^2 + y^2 + \sin y = 4$, then the value of $\frac{d^2y}{dx^2}$ at $x=-2$ is

What is the indicator used in Argentometric titrations?

When 80 J of heat is supplied to a gas at constant pressure, if the work done by the gas is 20 J, then the ratio of the specific heat capacities of the gas is

Observe the following substances. Ethanol, acetic acid, ethylamine, trimethylamine, salicylic acid, ethanal. In the above list, the number of substances with H-bonding is

Consider the following:
Statement-I: If thermal energy is stronger than intermolecular forces, the substance prefers to be in gaseous state.
Statement-II: At constant temperature, the density of an ideal gas is proportional to its pressure.
The correct answer is

At 27$^{\circ}$C, 1 L of H$_2$ with a pressure of 1 bar is mixed with 2 L of O$_2$ with a pressure of 2 bar in a 10 L flask. What is the pressure exerted by gaseous mixture in bar? (Assume H$_2$ and O$_2$ as ideal gases)

At T(K), consider the following gaseous reaction, which is in equilibrium: N$_2$O$_5 \rightleftharpoons 2$NO$_2 + \frac{1}{2}$O$_2$. What is the fraction of N$_2$O$_5$ decomposed at constant volume and temperature, if the initial pressure is 300 mm Hg and pressure at equilibrium is 480 mm Hg? (Assume all gases as ideal)

If the vectors $2\mathbf{i} + 4\mathbf{j} - 3\mathbf{k}$, $-\mathbf{i} + 2\mathbf{j} + 3\mathbf{k}$, and $p\mathbf{i} - 2\mathbf{j} + \mathbf{k}$ are coplanar, then the unit vector in the direction of the vector $9p\mathbf{i} - 4\mathbf{j} + 4\mathbf{k}$ is

In a $\triangle ABC$, $\frac{2(r_1 + r_3)}{a c (1 + \cos B)} =$

In a triangle ABC, if $a, b, c$ are in arithmetic progression and the angle $A$ is twice the angle $C$, then $\cos A : \cos B : \cos C =$

Assertion (A): For the lines $\mathbf{r} = \mathbf{a} + t \mathbf{b}$ and $\mathbf{r} = \mathbf{p} + s \mathbf{q}$, if $(\mathbf{a} - \mathbf{p}) \cdot (\mathbf{b} \times \mathbf{q}) \neq 0$, then the two lines are coplanar. Reason (R): $|(\mathbf{a} - \mathbf{p}) \cdot (\mathbf{b} \times \mathbf{q})|$ is $|\mathbf{b} \times \mathbf{q}|$ times the shortest distance between the lines $\mathbf{r} = \mathbf{a} + t \mathbf{b}$ and $\mathbf{r} = \mathbf{p} + s \mathbf{q}$.

The general solution of the differential equation $ \frac{dy}{dx} = \frac{2x + y - 3}{2y - x + 3} $ is

The area (in sq. units) of the region bounded by the curves $ y = x^2 $ and $ y = 8 - x^2 $ is

If $\Delta_r H^{\ominus}$ and $\Delta_r S^{\ominus}$ are standard enthalpy change and standard entropy change respectively for a reaction, the incorrect option is

The C$_p$ of H$_2$O(l) is 75.3 J mol$^{-1}$ K$^{-1}$. What is the energy (in J) required to raise 180 g of liquid water from 10$^{\circ}$C to 15$^{\circ}$C? (H$_2$O = 18 u)

A sample of paramagnetic salt contains $2 \times 10^{24}$ atomic dipoles each of dipole moment $1.5 \times 10^{-23} \, \text{JT}^{-1}$. The sample is placed under homogeneous magnetic field of 0.6 T and cooled to a temperature 4.2 K. The degree of magnetic saturation achieved is 20%. Then total dipole moment of the sample for a magnetic field of 0.9 T and a temperature of 2.8 K is

Tangents are drawn at three points P($t_1$), Q($t_2$), R($t_3$) on the parabola $y^2 = x$. Let these tangents intersect each other at the points L, M, N. If $t_1 = 2$, $t_2 = -4$, $t_3 = 6$, then the area of the triangle LMN is