List of top Questions asked in AP EAPCET

Among the following, the correct statements are
I. Lithium forms solid hydrogen carbonate
II. LiCl is soluble in ethanol
III. The formula of lithium oxide is LiO
IV. Lithium hydroxide decomposes on heating

Two mercury drops of radii $ r $ and $ 2r $ merge to form a bigger drop. The surface energy released in the process is nearly (Surface tension of mercury is } $S$ and take $9^{2/3} = 4.326$)

A flywheel is rotating at a rate of 150 rev/minute. If it slows at constant retardation of \( \pi \) rads\(^{-2} \), then the time required for the wheel to come to rest is
If matrix \( D_1 = \text{diag}(a, b, c) \), matrix \( D_2 = \text{diag}(3, 3, 3) \) and \( A \) is a skew-symmetric matrix of order 3, then
\[ \text{Tr}(D_1 D_2 A + D_2 D_1 + D_1 A + D_2 A) - \text{Tr}(D_1 + D_2) = ? \]
If \( \tan A = \tan \alpha \coth x = \cot \beta \tanh x \), then \( \tan(\alpha + \beta) = \):
Evaluate the integral: \[ \int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{1}{1 + \sqrt{\cot x}} \, dx = \]
If a person moving along a straight line covers the first half of the distance with velocity \( V_1 \) and the next half with velocity \( V_2 \), then the average velocity is:
If 5 L of an ideal gas at a constant external pressure of 2 atm expands isothermally to a final volume of \( X \) L, the system does a work of -2,026.4 J. \( X \) (in L) is

Identify X and Y in the following reaction $\text{CH}_{2} = \text{CH}_{2} \xrightarrow{\text{(i) X}} \text{CH}_{3}\text{CH}_{2}\text{I} \xrightarrow{\text{(ii) Y}}$

If the sum of the coefficients of even powers of \( x \) in the expansion of \( (1 - x + x^2)^{2n} \) is 3281, then \( n \) is:
The given circuit shows two capacitors connected to a battery. After the capacitors are completely charged, the battery is removed and the capacitors are connected with plates of opposite polarity together. Then the energy lost in the process is:
two capacitors connected to a battery
A resistor of resistance 40 \( \Omega \), a capacitor of capacitive reactance 20 \( \Omega \) and an inductor of inductive reactance 50 \( \Omega \) are connected in series to an ac source of 100 V. The current through the circuit is:
Two identical balls \( P \) and \( Q \) are moving with the same velocity. If the velocity of \( Q \) is reduced to zero and that of \( P \) is reduced to half, the ratio of change in temperatures of \( P \) to \( Q \) is:
The intensity of ground waves decreases with the increase of distance travelled is due to:

Match List I with List II:

If \( A, B \) and \( C \) are three events of a random experiment with \( P(A) = 0.4 \), \( P(B) = 0.3 \), and \( P(A \cap B) = 0.2 \), then the probability that neither A nor B occurs is:
If the equations \( x = t^2 + t + 1, \quad y = t^2 - t + 1 \) represent a curve \( C \) with parameter \( t \), then the Cartesian equation of \( C \) is:
The positive value of \( x \) satisfying the equation \[ \int_0^x (1 - t) \, dt = \frac{1}{2} \] is:
Among the following, velocity \( v \) - time \( t \) graph representing the motion of a vertically projected body is:
A lorry is moving on a smooth circular path of radius 50 m with a velocity of 20 m/s. Then the banking angle of the road is:
At T (K), an ideal gas (Z) present in V L flask exerted a pressure of 16.4 atm. Its concentration is 1 mol L$^{-1}$. What is the value of T in K?
If \( \alpha, \beta, \gamma \) are the roots of \( x^3 + 2x + 5 = 0 \), then \( \sum \frac{\beta + \gamma}{\alpha^2} \) is:
In \( \triangle ABC \), if \[ \cot \frac{A}{2} : \cot \frac{B}{2} : \cot \frac{C}{2} = 3 : 7 : 9 \] then \( a : b : c = \) ?
The locus of a point which is at a distance of 2 units from the line \( 2x - 3y + 4 = 0 \) and at a distance of \( \sqrt{13} \) units from a point \( (5,0) \), is:

Which of the following is used in perfumery?