List of top Questions asked in AP EAPCET

For a reaction, the graph of \( \ln k \) (on y-axis) and \( 1/T \) (on x-axis) is a straight line with a slope \( -2 \times 10^4 \text{ K} \). The activation energy of the reaction (in kJ mol\(^{-1}\)) is \((R = 8.3~\text{J K}^{-1} \text{mol}^{-1})\)
A wire of resistance 10 \(\Omega\) is stretched to twice its original length. What is the new resistance?
If \(x^2 + y^2 = 25\) and \(xy = 12\), then what is the value of \(x^4 + y^4\)?
If the roots of the quadratic equation \( 2x^2 - 4x + k = 0 \) are real and equal, find the value of \( k \).
The general solution of the equation \( \cos(2x) = \frac{1}{2} \) is:
If the measured values of the voltage across and the current through a resistor are \((100 \pm 5)\,V\) and \((10 \pm 0.2)\,A\) respectively, then the error in the determination of the resistance is:
If three particles of each charge \( +q \) are placed at the three vertices of an equilateral triangle of side \( \sqrt{3}r \), then the net electric field at the centroid of the triangle is:
An aeroplane flying horizontally with a speed of 720 kmph at an altitude of 490 m drops a bomb when it is just vertically above a target. The horizontal distance between the target and the point where the bomb strikes the ground is
At 25 \(^{\circ}\)C, \( K_a \) of acetic acid is \( 1.8 \times 10^{-5} \). What is the percentage of ionization of 0.02 M acetic acid at this temperature?
Identify the correct statements regarding the enzymes
I) Almost all enzymes are proteins
II) Enzymes are not specific in nature
III) Enzymes work effectively in the pH range of 5–7
IV) Enzymes work effectively between 310 K and 330 K temperature
The minimum value of \( |z - 1| + |z - 5| \) is:
A straight line passing through a fixed point (2, 3) intersects the coordinate axes at points \( P \) and \( Q \). If \( O \) is the origin and \( R \) is a variable point such that \( OPRQ \) is a rectangle, then the locus of \( R \) is
In the binomial expansion of $ (p - q)^{14} $, if the sum of 7th and 8th terms is zero, then $$ \frac{p + q}{p - q} = ? $$
X denotes the number of heads in $ n $ tosses of a fair coin. If $ P(X = 4),\ P(X = 5),\ P(X = 6) $ are in arithmetic progression, find the largest possible value of $ n $.
If $$ \int \frac{a \cos x + 3 \sin x}{5 \cos x + 2 \sin x} dx = \frac{26}{29} x - \frac{k}{29} \log |5 \cos x + 2 \sin x| + c, $$ then find $ |a + k| $.
Consider the following statements:
Statement-I: Lysine, arginine are essential and basic amino acids.
Statement-II: Leucine, phenyl alanine are non-essential and neutral amino acids.
Which of the following is correct?
$\int \frac{\sin 2x}{\sin^2 x + 3 \cos x - 3} \, dx =$
Identify the correct option from the following:
If an electron in the excited state falls to ground state, a photon of energy 5 eV is emitted, then the wavelength of the photon is nearly
Gas X is obtained in Deacon's process. X on reacting with iodine and water gives:
Given \(f(x) = x^2 - 5x + 4\). Out of first 20 natural numbers, if a number \(x\) is chosen at random, then the probability that the chosen \(x\) satisfies the inequality \(f(x)>10\) is
The tangents drawn to the hyperbola \(5x^2 - 9y^2 = 90\) through a variable point \(P\) make angles \(\alpha\) and \(\beta\) with its transverse axis. If \(\alpha\) and \(\beta\) are complementary angles, then the locus of \(P\) is
For an observer on the earth, if a spectral line of wavelength $6600~\mathring{A$ emitted by a star is found to be redshifted by $22~\mathring{A}$, then the star is}
If the half-life of a radioactive element is $12.5$ hours, then the time taken to disintegrate $256~g$ of the substance into $1~g$ is (in hours)
If all possible 4-digit numbers are formed by choosing 4 different digits from the given digits $ 1, 2, 3, 5, 8 $, then the sum of all such 4-digit numbers is:
The slope of one of the direct common tangents drawn to the circles \(x^2 + y^2 - 2x + 4y + 1 = 0\) and \(x^2 + y^2 - 4x - 2y + 4 = 0\) is