List of top Questions asked in AP EAMCET

60 cm$^3$ of SO$_2$ gas diffused through a porous membrane in $ x $ minutes. Under similar conditions, 360 cm$^3$ of another gas (molar mass 4 g mol$^{-1}$) diffused in $ y $ minutes. The ratio of $ x $ and $ y $ is:

The equation of the circle whose diameter is the common chord of the circles $x^2 + y^2 - 6x - 7 = 0$ and $x^2 + y^2 - 10x + 16 = 0$ is:

In $ \triangle ABC $, if $ (r_2 - r_1)(r_3 - r_1) = 2r_2r_3 $, then $ 2(r + R) = $:

If m and M denote the mean deviations about mean and about median respectively of the data 20, 5, 15, 2, 7, 3, 11, then the mean deviation about the mean of m and M is:

The descending order of magnitude of the eccentricities of the following hyperbolas is:
A. A hyperbola whose distance between foci is three times the distance between its directrices.
B. Hyperbola in which the transverse axis is twice the conjugate axis.
C. Hyperbola with asymptotes $ x + y + 1 = 0, x - y + 3 = 0 $.

The critical temperature of A, B, C, D gases are 190 K, 630 K, 261 K, 400 K respectively. The quantity of gas adsorbed per gram of charcoal at same pressure is least for the gas

At 300 K, the vapour pressures of A and B liquids are 500 and 400 mm Hg respectively. Equal moles of A and B are mixed to form an ideal solution. The mole fraction of A and B in vapor state is respectively.

A compound is formed by atoms of A, B and C. Atoms of C form hcp lattice. Atoms of A occupy 50% of octahedral voids and atoms of B occupy $\frac{2}{3}$ of tetrahedral voids. What is the molecular formula of the solid?

If 7 and 8 are the lengths of two sides of a triangle and $ a $ is the length of its smallest side. The angles of the triangle are in AP and $ a $ has two values $ a_1 $ and $ a_2 $ satisfying this condition. If $ a_1<a_2 $, then $ 2a_1 + 3a_2 = $:

For $ \lambda, \mu \in \mathbb{R} $, the lines \[ (x - 2y - 1) + \lambda (3x + 2y - 11) = 0 \] and \[ (3x + 4y - 11) + \mu (-x + 2y - 3) = 0 \] represent two families of lines. If the equation of the line common to both families is given by \[ ax + by - 5 = 0, \] then $ 2a + b = $ ?

If $ 4x - 3y - 5 = 0 $ is a normal to the ellipse $ 3x^2 + 8y^2 = k $, then the equation of the tangent at point (-2,m) is:

At $ T(K) $, in a closed vessel, a gas obeying the kinetic theory of gases has two molecules. The kinetic energy of these molecules is $ x_1 $ J and $ x_2 $ J respectively. After a few collisions, their kinetic energy is $ y_1 $ J and $ y_2 $ J respectively. Identify the correct relationship/s:

(1) $ x_1 = y_1 $

(2) $ \frac{x_1 + x_2}{2} = \frac{y_1 + y_2}{2} $

(3) $ x_2 = y_2 $

(4) $ (x_1 - x_2)^2 = (y_1 - y_2)^2 $

Identify the sets of species having the same bond order:
(i) $ {F}_2, {O}_2^{2-} $
(ii) CO, NO$^{+}$
(iii) $N_2$, $O_2$
(iv) $H_2$, $B_2$
The correct option is:

Given below are two statements:
Statement I: Diamagnetic $li_2$ molecules are known to exist in the vapour phase.
Statement II: According to MO theory, double bond in $C_2$ consists of both $ \pi $ bonds. The correct option is:

A spectral line in the hydrogen spectrum is due to an electron transition between energy levels whose sum and difference are respectively 5 and 3. The wavelength of it (in cm) is:

Identify the correct statements about group 14 elements:
I. Sn in +2 state is a reducing agent and Pb in +4 state is a strong oxidising agent.
II. Thermodynamically most stable allotrope of carbon is diamond.
III. SiCl$_4$ on hydrolysis gives silicic acid.
IV. Sn has a higher melting point than Pb.

40 mL of 0.2 M $ \mathrm{CH_3COOH} $ is titrated with 0.2 M NaOH solution. How many mL of NaOH should be added to form a buffer solution with maximum buffer capacity?

At T(K), 3 moles of ethyl alcohol is mixed with 3 moles of acetic acid in a 1L vessel. At equilibrium, 2 moles of ester are formed. Calculate the equilibrium constant for the reaction.

[Ni(H$_2$O)$_4$]$^{2+}$ on reaction with ethane-1,2-diamine forms violet color complex. Its formula and magnetic property respectively are

Which of the following is not correct about the adsorption?

A $\rightarrow$ P is a first-order reaction. At 27°C, the time taken for the completion of 20% of the reaction is $ t_1 $ min. The time taken for the completion of 80% of the reaction is $ t_2 $ min at the same temperature. What is the value of $ \frac{t_2}{t_1} $?

At 27 °C, the pH of 1 L of aqueous copper sulfate is 5.5. This solution was electrolyzed using two Pt electrodes for some time. What is the pH of remaining copper sulfate solution?

The molar depression constant of water ($K_f$) is 1.86 K kg mol$^{-1}$. What is the approximate $ \Delta H_{fus} $ (in kJ mol$^{-1}$) of water if it freezes at 273 K?

Cumene on oxidation in the presence of air gives a compound X. This in the presence of dilute acid gives Y and Z. The total number of $ sp^2 $ carbons in Y and Z is:

What are X, Y and Z in the given reaction sequence?