List of top Questions asked in AP EAPCET

What are X and Y respectively in the following reaction sequence? (\(anhy = \text{anhydrous}\)) \[ \text{C}_6\text{H}_5\text{N}_2^+\text{X}^- \xrightarrow{\text{C}_2\text{H}_5\text{OH}} \text{X} \xrightarrow{\text{CO, HCl, anhy. AlCl}_3} \text{Y} \] % The question implies the first X is an anion, the second X is an organic product. Let's call the organic product P1 to avoid confusion. % So, C6H5N2+Anion- → P1 → Y
The numerically greatest term in the expansion of $ (x + 3y)^{13} $, when $ x = \frac{1}{2},\ y = \frac{1}{3} $, is
The radii of inner and outer spheres of a spherical capacitor are $8~\text{cm$ and $9~\text{cm}$ respectively. The outer sphere is earthed and the inner sphere is charged. If the space is filled with a dielectric constant $K = 5$, the capacitance is}
If the number of diagonals of a regular polygon is 35, then the number of sides of the polygon is
If the slope of the tangent drawn at any point \((x, y)\) on a curve is \(x + y\), then the equation of that curve is
The ratio of the focal lengths of a convex lens when kept in air and when it is immersed in a liquid is 1:2. If the refractive index of the material of the lens is 1.5, then the refractive index of the liquid is
A person of mass 45 kg having leg bones each of length 50 cm and area of cross-section of 5 cm$^2$ jumps safely from a height of 2 m. If his leg bones can withstand a stress of $0.9 \times 10^8$ N m$^{-2}$, then the Young’s modulus of the leg bones is
(Acceleration due to gravity $g = 10$ m s$^{-2}$)
If the lines \(x+y-2=0\), \(3x-4y+1=0\) and \(5x+ky-7=0\) are concurrent at \((\alpha, \beta)\), then equation of the line concurrent with the given lines and perpendicular to \(kx+y-k=0\) is
\( \sum_{k=1}^{n} k(k+1)(k+2)...(k+r-1) = \)
Among \( \text{B}_2\text{O}_3 \), \( \text{Al}_2\text{O}_3 \), and \( \text{In}_2\text{O}_3 \), the oxides which react with alkalies are:
In which of the following intramolecular H-bonding is absent?
Options:
- Salicylic acid
- Salicylaldehyde
- Quinol
- Catechol
Let \( A_1 \) be the area of the given ellipse \( \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \). Let \( A_2 \) be the area of the region bounded by the curve which is the locus of mid point of the line segment joining the focus of the ellipse and a point P on the given ellipse, then \( A_1 : A_2 = \)
If the polynomial \( f(x) = x^4 + ax^3 + bx^2 + cx + d \) is divided by \( x - 1 \) and \( x + 1 \), the remainders are 5 and 3 respectively. If \( f(x) \) is divided by \( x^2 - 1 \), then the remainder is
A student has probability \(\dfrac{2}{3}\) of getting distinction in a test. Out of 5 tests, the probability that he gets distinction in at least 3 tests is
A ray of light incidents at an angle of \(60^\circ\) on the first face of a prism. The angle of the prism is \(30^\circ\) and its second face is silvered. If the light ray inside the prism retraces its path after reflection from the second face, then the refractive index of the material of the prism is
If vectors \( \vec{a} = 2\hat{i} + 3\hat{j} + \hat{k} \) and \( \vec{b} = \hat{i} - \hat{j} + 2\hat{k} \), then the magnitude of the projection of \( \vec{a} \) on \( \vec{b} \) is:
Choose the incorrect statement from the following:
If the earth's magnetic field at a certain place has a horizontal component of $ 5 $ gauss and a total field of $ 13 $ gauss, then the angle of dip at that place is:
For the following given equilibrium reaction, K\(_p\) is equal to 1076 at T(K). What is the value of T (in K)? \[ \text{N}_2(g) + 3\text{H}_2(g) \rightleftharpoons 2\text{NH}_3(g) \] Given that \( R = 0.082 \, \text{L atm K}^{-1} \text{mol}^{-1} \), \( K_p = 1076 \), the equation is: \[ K_p = 1076, \, R = 0.082 \, \text{L atm K}^{-1} \text{mol}^{-1} \]
If \( (x - 2) \) is a factor of \( x^3 - 4x^2 + ax + 8 \), find the value of \( a \):

Consider the following
Statement-I: Kolbe's electrolysis of sodium propionate gives n-hexane as product. 
Statement-II: In Kolbe's process, CO$_2$ is liberated at anode and H$_2$ is liberated at cathode.

The standard reduction potentials are: \( E^\circ_{\text{Ag}^+/\text{Ag}} = +0.80\, \text{V} \) and \( E^\circ_{\text{Cu}^{2+}/\text{Cu}} = +0.34\, \text{V} \). What will happen when a copper rod is placed in a solution of silver nitrate?
Each nuclear fission of \( {}^{235}\text{U} \) releases 200 MeV of energy. If a reactor generates 1 MW power, then the rate of fission in the reactor is
a, b, c, d are electromagnetic radiations. Frequencies of a, b, c are $3 \times 10^{15$ Hz, respectively, whereas the wavelength of c, d are 400 nm, 750 nm, respectively. The increasing order of their energies is}
A bag contains 4 red and 6 blue balls. Two balls are drawn one after the other without replacement. What is the probability that the second ball drawn is red, given that the first ball drawn was blue?