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AP EAPCET 2023
List of top Questions asked in AP EAPCET- 2023
What is ‘X’ in the following reaction?
2–Bromo–2–methyl butane $\xrightarrow{X}$ 2–methyl–2–butanol
AP EAPCET - 2023
AP EAPCET
Chemistry
Alcohols
If
\[ \frac{2x^2 + 5x + 6}{(x + 2)^3} = \frac{a}{x + 2} + \frac{b}{(x + 2)^2} + \frac{c}{(x + 2)^3}, \]
then \( a \cdot b + b \cdot c + c \cdot a = \)?
AP EAPCET - 2023
AP EAPCET
Mathematics
Rational Numbers
If the solution for the system of equations \[ x + 2y - z = 3, \ 3x - y + 2z = 1, \ 2x - 2y + 3z = 2 \] is \( ( \alpha, \beta, \gamma ) \), then find the value of \( \alpha^2 + \beta^2 + \gamma^2 \).
AP EAPCET - 2023
AP EAPCET
Mathematics
Linear Equations
If
\[ \begin{vmatrix} x & 4 & -1 \\ 2 & 1 & 0 \\ 0 & 2 & 4 \end{vmatrix} = 0, \text{ then find the value of } x. \]
AP EAPCET - 2023
AP EAPCET
Mathematics
Determinants
If \( \frac{17x - 2}{12x^2 - x - 20} = \frac{A}{ax + 5} + \frac{B}{3x + b} \), then \( a \cdot A + b \cdot B \) is:
AP EAPCET - 2023
AP EAPCET
Mathematics
Partial Fractions
If the mean and variance of a binomial variable X are 2.4 and 1.44 respectively, then the parameters \( n \) and \( p \) are respectively:
AP EAPCET - 2023
AP EAPCET
Mathematics
binomial distribution
In the reaction, if X is the reagent and Y is the product, which of the following is not feasible?
AP EAPCET - 2023
AP EAPCET
Chemistry
Aromatic Substitution Reactions
Which is the correct order of the following alkyl halides for an SN2 reaction?
AP EAPCET - 2023
AP EAPCET
Chemistry
Haloalkanes and Haloarenes
Which of the following is a hemiacetal?
AP EAPCET - 2023
AP EAPCET
Chemistry
Uses of Aldehydes and Ketones
The following methods can not be used to remove permanent hardness of water:
AP EAPCET - 2023
AP EAPCET
Chemistry
Hard Water
The total energy of an electron in an orbit of hydrogen atom is \( E \). The potential energy of the electron in the same orbit is
AP EAPCET - 2023
AP EAPCET
Physics
Atomic Physics
Two metal wires of same length, same area of cross-section have conductivities of their material \( \sigma_1 \) and \( \sigma_2 \). If they are connected in series, the effective conductivity is:
AP EAPCET - 2023
AP EAPCET
Physics
Electricity
In the circuit, the cells are having negligible resistances. If the galvanometer shows null deflection, then the value of \( V \) is:
AP EAPCET - 2023
AP EAPCET
Physics
Electricity
The maximum value of \( x^4 y^4 \) when \( a^2 x^4 + b^2 y^4 = c^6 \) is:
AP EAPCET - 2023
AP EAPCET
Mathematics
Maxima and Minima
In the x-ray reflection (n=1), the distance between two parallel planes of NaCl is 280 pm and diffraction angle is 5.2°. What is the wavelength of its light radiation?
AP EAPCET - 2023
AP EAPCET
Chemistry
X Rays and the Ordering of the Elements
In which of the following, the sol is not correctly matched with respect to its charge?
AP EAPCET - 2023
AP EAPCET
Chemistry
Colloids
The number of water molecules present in borax, kernite and bauxite respectively are
AP EAPCET - 2023
AP EAPCET
Chemistry
Crystallization
The load resistance and the base-emitter voltage of a transistor in CE configuration are 5 kΩ and 0.02 V respectively. If the collector current is 2 mA, then its voltage gain is
AP EAPCET - 2023
AP EAPCET
Physics
Amplifiers
A resistor of resistance \( R \) and an inductor of inductive reactance \( R \) are connected in series to an ac source. A capacitor of capacitive reactance \( 2R \) is then connected in series with \( L \) and \( R \). The ratio of the power factors of LR and LCR circuits is
AP EAPCET - 2023
AP EAPCET
Physics
AC Circuits
The nucleus having highest binding energy per nucleon is
AP EAPCET - 2023
AP EAPCET
Physics
Nuclear physics
A rod is found to be 0.05 cm longer at 40°C than it is at 10°C. The length of the rod at 0°C is (coefficient of linear expansion of the material of the rod = \( 1.5 \times 10^{-5} \, \text{°C}^{-1} \))
AP EAPCET - 2023
AP EAPCET
Physics
Thermal Expansion
If the slope of the tangent on a curve at any point \((x, y)\) is equal to \[ \frac{y^2 - x^2}{2xy} \] then the equation of the normal at the point \(\left(1, \frac{\sqrt{3}}{2}\right)\) is
AP EAPCET - 2023
AP EAPCET
Mathematics
Tangents and Normals
A point on the plane passing through the points \((\sqrt{2},1,4), (0,-1,0)\) and \((0,0,1)\) is:
AP EAPCET - 2023
AP EAPCET
Mathematics
3D Geometry
A box contains 5 white balls and 7 black balls. In how many ways can 3 balls be drawn from the box such that at least one black ball is included?}
AP EAPCET - 2023
AP EAPCET
Mathematics
Combinatorics
If \[ \vec{a} = -2\hat{i} + 9\hat{j} - 6\hat{k}, \quad \vec{b} = t\hat{i} - 2\hat{j} + 6\hat{k} \]
are vectors such that
\(|\vec{a} + \vec{b}| = 25\),
then the sum of the values of
\(t =\ ?\)
AP EAPCET - 2023
AP EAPCET
Mathematics
Vector Algebra
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