List of top Questions asked in AP EAMCET

Two point charges +6 \(\mu\)C and +10 \(\mu\)C kept at a certain distance repel each other with a force of 30 N. If each charge is given an additional charge of -8 \(\mu\)C, the two charges
The work done by an ideal gas of 2 moles in increasing its volume from \( V \) to \( 2V \) at constant temperature \( T \) is \( W \). The work done by an ideal gas of 4 moles in increasing its volume from \( V \) to \( 8V \) at constant temperature \( \frac{T}{2} \) is
Two copper wires A and B of lengths in the ratio \( 1:2 \) and diameters in the ratio \( 3:2 \) are stretched by forces in the ratio \( 3:1 \). The ratio of the elastic potential energies stored per unit volume in the wires A and B is
The length of a metal bar is 20 cm and the area of cross-section is \( 4 \times 10^{-4} \) m\(^2\). If one end of the rod is kept in ice at \( 0^\circ C \) and the other end is kept in steam at \( 100^\circ C \), the mass of ice melted in one minute is 5 g. The thermal conductivity of the metal in Wm\(^{-1}\)K\(^{-1}\) is (Latent heat of fusion = 80 cal/gm)
When 40 J of heat is absorbed by a monatomic gas, the increase in the internal energy of the gas is
In an inelastic collision, after collision the kinetic energy
The moments of inertia of a solid cylinder and a hollow cylinder of the same mass and same radius about the axes of the cylinders are \( I_1 \) and \( I_2 \). The relation between \( I_1 \) and \( I_2 \) is
Find the general solution of the differential equation \( (x - y -1) dy = (x + y + 1) dx \).
Find the area enclosed by the curve \( y = x^3 - 19x + 30 \) and the X-axis.
Evaluate \( \int_{ \log 4}^{ \log 5} \frac{e^{2x} + e^x}{e^{2x} - 5e^x +6} dx \):
Evaluate the integral: \[ \int \frac{1}{x^5 \sqrt{x^5+1}} dx. \]
Evaluate the integral: \[ I = \int \frac{\csc x}{3\cos x + 4\sin x} dx. \]
Evaluate the integral: \[ I = \int \frac{x+1}{\sqrt{x^2 + x + 1}} dx. \]
Evaluate the integral: \[ I = \int (\tan^7 x + \tan x) dx. \]
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:
By considering \( 1' = 0.0175 \), the approximate value of \( \cot 45^\circ 2' \) is:
Evaluate the limit: \[ \lim_{x \to \infty} \left( \frac{3x^2 - 2x + 3}{3x^2 + x - 2} \right)^{3x - 2} \]
Let \( P(a, 4, 7) \) and \( Q(3, \beta, 8) \) be two points. If the YZ-plane divides the join of the points P and Q in the ratio 2:3 and the ZX-plane divides the join of P and Q in the ratio 4:5, then the length of line segment PQ is:
If \( (a, b) \) and \( (c, d) \) are the internal and external centres of similitude of the circles \[ x^2 + y^2 + 4x - 5 = 0 \] and \[ x^2 + y^2 - 6y + 8 = 0 \] respectively, then \( (a + d)(b + c) \) is:
If the coordinate axes are rotated by \( 45^\circ \) about the origin in the counterclockwise direction, then the transformed equation of \( y^2 = 4ax \) is:
A box contains 20 percent defective bulbs. Five bulbs are randomly chosen. Find the probability that exactly 3 are defective.
The probability that a person goes to college by car,\(\frac{1}{5}\) bus,\(\frac{2}{5}\) or train \(\frac{3}{5}\) is given. If he reaches college on time, find the probability he traveled by car.
A random variable \( X \) follows a Poisson distribution with mean 5. Find the probability that \( X3 \).
If 5 letters are to be placed in 5-addressed envelopes, then the probability that at least one letter is placed in the wrongly addressed envelope is:
In a regular hexagon \( ABCDEF \), if \( \overrightarrow{AB} = \mathbf{a} \) and \( \overrightarrow{BC} = \mathbf{b} \), then find \( \overrightarrow{FA} \).