List of top Questions asked in AP EAMCET- 2024

If $ \vec{a}, \vec{b}, \vec{c}, \vec{d} $ are position vectors of 4 points such that $ 2\vec{a} + 3\vec{b} + 5\vec{c} - 10\vec{d} = 0 $, then the ratio in which the line joining $ \vec{c} $ divides the line segment joining $ \vec{a} $ and $ \vec{b} $ is:

If all the letters of the word ‘SENSELESSNESS’ are arranged in all possible ways and an arrangement among them is chosen at random, then, the probability that all the E’s come together in that arrangement is:

P is a point on $ x + y + 5 = 0 $, whose perpendicular distance from $ 2x + 3y + 3 = 0 $ is $ \sqrt{13} $, then the coordinates of P are:

If the plane \[ x - y + z + 4 = 0 \] divides the line joining the points \[ P(2,3,-1) \quad {and} \quad Q(1,4,-2) \] in the ratio $ l:m $, then $ l + m $ is:

A charged particle moving along a straight-line path enters a uniform magnetic field of $ 4 $ mT at right angles to the direction of the magnetic field. If the specific charge of the charged particle is $ 8 \times 10^7 $ C/kg, the angular velocity of the particle in the magnetic field is:

The number of extensive properties in the following list is: Enthalpy, density, volume, internal energy, temperature.

Hydrated sodium aluminum silicate is called:

If the curves $$ 2x^2 + ky^2 = 30 \quad \text{and} \quad 3y^2 = 28x $$ cut each other orthogonally, then $ k = $

Two ideal gases A and B of the same number of moles expand at constant temperatures $ T_1 $ and $ T_2 $ respectively such that the pressure of gas A decreases by $ 50% $ and the pressure of gas B decreases by $ 75% $. If the work done by both the gases is the same, then the ratio $ T_1:T_2 $ is:

The radiation of energy $ E $ falls normally on a perfectly reflecting surface. The momentum transferred to the surface is:

For $ a \in \mathbb{R} \setminus \{0\} $, if $ a \cos x + a \sin x + a = 2K + 1 $ has a solution, then $ K $ lies in the interval:

If $ \vec{a} = \hat{i} - \hat{j} + \hat{k} $, $ \vec{b} = 2\hat{i} + \hat{j} + \hat{k} $ are two vectors and $ \vec{c} $ is a unit vector lying in the plane of $ \vec{a} $ and $ \vec{b} $, and if $ \vec{c} $ is perpendicular to $ \vec{b} $, then $ \vec{c} \cdot (\hat{i} + 2\hat{k}) = $:

K_cfor the reaction \[ A(g) \rightleftharpoons T(K) + B(g) \] is 39.0. In a closed one-litre flask, one mole of $ A(g) $ was heated to $ T(K) $. What are the concentrations of $ A(g) $ and $ B(g) $ (in mol L$^{-1}$) respectively at equilibrium?

5 boys and 6 girls are arranged in all possible ways. Let $X$ denote the number of linear arrangements in which no two boys sit together, and $Y$ denote the number of linear arrangements in which no two girls sit together. If $Z$ denotes the number of ways of arranging all of them around a circular table such that no two boys sit together, then $X:Y:Z$ = ?

Which of the following is/are estimated by titrating polluted water with potassium dichromate solution in acidic medium?

Three glass slabs A, B, C of different media are arranged as shown in the figure. Refractive index of B is 1.3 and the refractive index of C is 1.7. If the number of waves passing through B and C are equal to the total number of waves passing through B and C, then the refractive index of slab A is:

At $ T $ (K), the following data was obtained for the reaction: $ S_2O_8^{2-} + 3 I^- \rightarrow 2 SO_4^{2-} + I_3^- $.

From the data, the rate constant of the reaction (in $ M^{-1} s^{-1} $) is:

If the roots of the equation \[ Z^3 + iZ^2 + 2i = 0 \] are the vertices of a triangle ABC, then that triangle ABC is:

If $ (r, \theta) $ denotes $ r (\cos \theta + i \sin \theta) $. If \[ x = (1, \alpha), \quad y = (1, \beta), \quad z = (1, \gamma) \] and $ x + y + z = 0 $, then \[ \sum \cos (2\alpha - \beta - \gamma) = \]

The first ionization enthalpy (IE$_1$) and second ionization enthalpy (IE$_2$) of Mg(g) are 178 and 348 kcal mol$^{-1}$ respectively. The energy required for the reaction Mg(g) $\rightarrow$ Mg$^{2+}$(g) + 2e$^{-}$ (in kcal mol$^{-1}$) is:

Three blocks of masses 2 m, 4 m and 6 m are placed as shown in figure. If $ \sin 37^\circ = \frac{3}{5} $, $ \sin 53^\circ = \frac{4}{5} $, the acceleration of the system is:

When 40 J of heat is absorbed by a monatomic gas, the increase in the internal energy of the gas is

A wire of 60 cm length and mass 10 g is suspended by a pair of flexible leads in a magnetic field of 0.60 T as shown in the figure. The magnitude of the current required to remove the tension in the supporting leads is:

Semiconductors suitable for solar cell fabrication have a band gap nearby:

A light of frequency $ x $ Hz when falls on a metal plate emits electrons that have double the kinetic energy compared to when light of frequency $ y $ Hz falls on the same plate. The threshold frequency of the metal in Hz is: