List of top Questions asked in AP EAMCET- 2024

At 27 °C, \(x \, g\) of \( \text{CaCl}_2 \) was dissolved in 2.5 L of water. The osmotic pressure of the resultant solution is 0.82 atm. What is \(x\) in grams? (Given \(i = 2.5\), \(R = 0.082 \, \text{L atm mol}^{-1} \text{K}^{-1}\))
Let \( A(2, 3), B(1, -1) \) be two points. If \( P \) is a variable point such that \( \angle APB = 90^\circ \), then the locus of \( P \) is
Equation of a tangent line of the parabola \(y^2 = 8x\), which passes through the point \((1, 3)\) is:
The length of the subnormal at any point on the curve \( y = \left(\frac{x}{2024}\right)^k \) is constant if the value of \( k \) is:
An object is placed at a distance of 18 cm in front of a mirror. If the image is formed at a distance of 4 cm on the other side, then the focal length, nature of the mirror and nature of the image are respectively:
Inner shell electrons in atoms moving from one energy level to another lower energy level produce:
Which of the following amino acids possess two chiral centres?
The value of \( c \) such that the straight line joining the points \[ (0,3) \quad {and} \quad (5,-2) \] is tangent to the curve \[ y = \frac{c}{x+1} \] is:
The solution of the differential equation \[ \frac{dy}{dx} = \frac{y + x \tan \left( \frac{y}{x} \right)}{x}. \] \[ \sin\frac{y}{x} = \]
At a place the horizontal component of earth’s magnetic field is \( 3 \times 10^{-5} \) T and the magnetic declination is \( 30^\circ \). A compass needle of magnetic moment \( 18 \) A\(m^2\) pointing towards geographic north at this place experiences a torque of:
Parametric equations of the circle \( 2x^2 + 2y^2 = 9 \) are:
The gravitational potential energy of a body on the surface of the Earth is \(E\). If the body is taken from the surface of the Earth to a height equal to \(150%\) of the radius of the Earth, its gravitational potential energy is:
A wire of length \(100 \text{ cm}\) and area of cross-section \(2 \text{ mm}^2\) is stretched by two forces of each \(440 \text{ N}\) applied at the ends of the wire in opposite directions along the length of the wire. If the elongation of the wire is \(2 \text{ mm}\), the Young’s modulus of the material of the wire is:
In the reaction sequence, Y is: \[ CH_3CO_2H \xrightarrow{\text{(1) NH}_3, \text{(2)} \Delta} P \xrightarrow{\text{Br}_2/\text{NaOH}} Y \]
The mass of a particle is \( 1 \) kg and it is moving along the \( x \)-axis. The period of its oscillation is \( \frac{\pi}{2} \). Its potential energy at a displacement of \( 0.2 \) m is:
Find the sum of the sequence: \( 2 + 3 + 5 + 6 + 8 + 9 + \dots + 2n \) terms.
When an unfair dice is thrown, the probability of getting a number \( k \) on it is \( P(X = k) = k^2 P \), where \( k = 1, 2, 3, 4, 5, 6 \) and \( X \) is the random variable denoting a number on the dice. Then, the mean of \( X \) is:
In which of the following cases, there is no change in hybridization of the central atom?
Identify the incorrect statement:
In the given structure of Diborane, \( \theta_1, \theta_2 \) are respectively:
structure of Diborane, θ1, θ2
A block of mass 100 g is attached to the end of a string of unknown material of 50 cm long and cross-sectional area of \(2 \, {cm}^2\). When the block is whirled horizontally at a constant angular speed of 40 m/s, it moves along a circular path of radius 52 cm. Young's modulus of the material is:

A unit positive charge is moved from point A to point B by a distance of 20 cm, on an equipotential surface as shown in the figure. The work done to move this charge is:

Which of the following sets are not correctly matched? 
i. XeF₄ - sp³
ii. SF₄ - sp³d
iii. SO₃ - sp²
iv. SnCl₂ - sp

At 293 K, the density of an aqueous solution containing 120 g of urea (NH\(_2\)CONH\(_2\)) per dm\(^3\) is 1.02 kg dm\(^{-3}\). The mole fraction of urea is approximately: 

Adsorption of a gas on a solid obeys the Freundlich adsorption isotherm. In the graph drawn between \(\log (x/m)\) (on the y-axis) and \(\log p\) (on the x-axis), the slope and intercept are found to be 1 and 0.3, respectively. If the initial pressure of the gas is 0.02 atm, the mass of the gas adsorbed per gram of solid is (\({antilog } 0.3 = 2\)).