List of top Questions asked in AP EAMCET

A blue lamp emits light of mean wavelength 4500\({Å}\). The lamp is rated at 150 W and 8% efficiency. Then the number of photons are emitted by the lamp per second.

In the given circuit the currents are \( I_1 = 5A \), \( I_4 = 10A \), and \( I_5 = 15A \). Analyzing the circuit using Kirchhoff’s laws, then \( I_2 \), \( I_3 \), and \( I_6 \) values are:

Which of the following general reactions is an example for heterogeneous catalysis?
In a triangle, if the angles are in the ratio \( 3:2:1 \), then the ratio of its sides is:
If the slope of one of the pair of lines represented by \( 2x^2 + 3xy + Ky^2 = 0 \) is 2, then the angle between the pair of lines is:

The hybridization of aluminum in the complexes X and Y respectively is: 

Identify the set of molecules in which the central atom has only one lone pair of electrons in their valence shells:
If \( \omega \) is the cube root of unity, then: \[ \frac{a + b\omega + c\omega^2}{c + a\omega + b\omega^2} = \frac{a + b\omega + c\omega^2}{b + c\omega + a\omega^2} \]
Identify the autocatalytic reaction from the following:
A force of \( (4\hat{i} + 2\hat{j} + \hat{k}) \) N is acting on a particle of mass \( 2 \) kg displaces the particle from a position of \( (2\hat{i} + 2\hat{j} + \hat{k}) \) m to a position of \( (4\hat{i} + 3\hat{j} + 2\hat{k}) \) m. The work done by the force on the particle in joules is:

Given are two statements regarding the properties of carbon in Group 14 of the periodic table: 
Statement-I: Carbon has the highest catenation power in group 14 elements. 
Statement-II: Carbon has small size and high electronegativity compared to other elements of group 14.

If the circle S = 0 cuts the circles x2 + y2 - 2x + 6y = 0, x2 + y2 - 4x - 2y + 6 = 0, and x2 + y2 - 12x + 2y + 3 = 0 orthogonally, then the equation of the tangent at (0, 3) on S = 0 is:

Evaluate the integral \( \int \frac{dx}{\sqrt{\sin^3 x \cdot \cos (x - \alpha)}} \):

A parallel plate capacitor has two square plates of side 5 cm separated by 15 mm. A Pyrex glass slab of dielectric constant \(K = 4.5\) and thickness 10 mm is placed between the plates. The capacitance of the capacitor is:
If the period of the function \( f(x) = \frac{\tan 5x \cos 3x}{\sin 6x} \) is \( \alpha \), then find \( f \left( \frac{\alpha}{8} \right) \):
Which of the following sweeteners use is limited to soft drinks?

The mass of particle X is four times the mass of particle Y. The velocity of particle Y is four times the velocity of X. The ratio of de Broglie wavelengths of X and Y is: 

Water is flowing in a streamline manner in a horizontal pipe. If the pressure at a point where cross-sectional area is \( 10 \) cm\(^2\) and velocity \( 1 \) m/s is \( 2000 \) Pa, then the pressure of water at another point where the cross-sectional area is \( 5 \) cm\(^2\) is:
Evaluate the expression: \[ \sin^2 76^\circ + \sin^2 16^\circ - \sin 76^\circ \sin 16^\circ \]
If the matrix is: 
\(\left| \begin{array}{ccc} a & 1 & 1 \\ 1 & b & 1 \\ 1 & 1 & c \end{array} \right|>0, \text{ then } abc>?\)
In a spring-block system as shown in the figure, if the spring constant \( K = 9 \, {N/m} \), then the time period of oscillation is:
The energy released in the fission of one \(_{92}^{235}{U}\) nucleus is 200 MeV. The energy released in the fission of 235 g of \(_{92}^{235}{U}\) is nearly:
If \( \alpha, \beta, \gamma \) are the roots of the determinant equation: \[ \begin{vmatrix} 1-x & -2 & 1
-2 & 4-x & -2
1 & -2 & 1-x \end{vmatrix} = 0 \] then \( \alpha \beta + \beta \gamma + \gamma \alpha \) is:
A point moves on the curve \( y = x^3 - 3x^2 + 2x - 1 \) and its y-coordinate increases at a rate of 6 units per second. When the point is at (2,-1), the rate of change of its x-coordinate is:
In \( \triangle PQR \), \((4\overline{i} + 3\overline{j} + 6\overline{k} )\) and \((3\overline{i} + \overline{j} + 3\overline{k} )\) are the position vectors of the vertices P, Q, R respectively. Then the position vector of the point of intersection of the angle bisector of \( P \) with \( QR \).