List of top Questions asked in AP EAPCET

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

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

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)
If the slope of the tangent drawn at any point \((x, y)\) on a curve is \(x + y\), then the equation of that curve 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)
Identify the incorrect statement about silica.
If the error in the measurement of the surface area of a sphere is 1.2%, then the error in the determination of the volume of the sphere is
If \(\int \left( \frac{x^{49} \tan^{-1}(x^{50})}{1 + x^{100}} + \frac{x^{50}}{1 + x^{100}} \right) dx = k f(x) + c\) where \(k\) is a constant, then \(f(x) - f\left( \frac{1}{x^{49}} \right) =\)
The area (in sq. units) of the region bounded by the curves \( y = x^2 \) and \( y = 8 - x^2 \) is
A maximum current of 0.5 mA can pass through a galvanometer of resistance 15 \(\Omega\). The resistance to be connected in series to the galvanometer to convert it into a voltmeter of range 0–10 V is
\(\int_{-2\pi}^{2\pi} \sin^2(2x) \cos^4(2x) \, dx =\)
Observe the following reactions (g = gas):
I. N$_2$(g) + 3H$_2$(g) $\xrightarrow[\text{200 atm}]{\text{773K, X}}$ 2NH$_3$(g)
II. CO(g) + H$_2$O(g) $\xrightarrow[\text{673 K}]{\text{Y}}$ CO$_2$(g) + H$_2$(g)
III. CH$_4$(g) + H$_2$O(g) $\xrightarrow[\text{1270 K}]{\text{Z}}$ CO(g) + 3H$_2$(g)
Catalysts X, Y, Z respectively are
A wire of length 0.5 m and area of cross-section $4 \times 10^{-6}$ m$^2$ at a temperature of 100°C is suspended vertically by fixing its upper end to the ceiling. The wire is then cooled to 0°C, but is prevented from contracting, by attaching a mass at the lower end. If the mass of the wire is negligible, then the value of the mass attached to the wire is [Young's modulus of material of the wire = $10^{11}$ N/m$^2$; coefficient of linear expansion of the material of the wire = $10^{-5}$ K$^{-1}$ and acceleration due to gravity = 10 m/s$^2$]
For a first-order reaction, the ratio between the time taken to complete $\frac{3}{4}$th of the reaction and time taken to complete half of the reaction is

$\left( 1 + \sqrt{5} + i \sqrt{10 - 2\sqrt{5}} \right)^5$

Two acids A and B are titrated separately. 25 mL of 0.5 M Na$_2$CO$_3$ solution requires 10 mL of A and 40 mL of B for complete neutralisation. The volume (in L) of A and B required to produce 1 L of 1 N acid solution respectively are
The ratio of the focal lengths of a convex lens when kept in air and when it is immersed in a liquid is 1:2. If the refractive index of the material of the lens is 1.5, then the refractive index of the liquid is
The number of turning points of the curve $f(x) = 2\cos x - \sin 2x$ in the interval $[-\pi, \pi]$ is
As shown in the figure, two thin coplanar circular discs A and B each of mass 'M' and radius 'r' are attached to form a rigid body. The moment of inertia of this system about an axis perpendicular to the plane of disc B and passing through its centre is
If \( 3\sqrt{2}x - 4y = 12 \) is a tangent to the hyperbola \(\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1\) and \(\frac{5}{4}\) is its eccentricity, then \( a^2 - b^2 = \)
A coil of resistance 200 $\Omega$ is placed in a magnetic field. If the magnetic flux $\phi$ (in weber) linked with the coil varies with time 't' (in second) as per the equation $\phi = 50t^2 + 4$, then the current induced in the coil at a time t = 2 s is
In a $\triangle ABC$, $\frac{2(r_1 + r_3)}{a c (1 + \cos B)} =$