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AP EAPCET
List of top Questions asked in AP EAPCET
A particle of mass \( 0.2 \) g and charge \( 2 \) C is released from rest in a uniform electric field of \( 20 \) N/C. The kinetic energy of the particle after moving a distance of \( 20 \) cm is:
AP EAPCET - 2025
AP EAPCET
Physics
Electrostatics
The ratio of the magnitudes of the electric field and \( 10^8 \) times the magnetic field of a plane electromagnetic wave is:
AP EAPCET - 2025
AP EAPCET
Physics
Electromagnetic waves
In a closed organ pipe, the number of nodes formed in fifth and ninth harmonics are respectively:
AP EAPCET - 2025
AP EAPCET
Physics
Mechanics and wave Motion
If a proton and an alpha particle are accelerated through the same potential difference, then the ratio of their de Broglie wavelengths is:
AP EAPCET - 2025
AP EAPCET
Physics
Photoelectric Effect
Three letters are chosen at random from the letters of the word VARIABLE and all possible three-letter words (with or without meaning) are formed with them. Then the probability of getting a three-letter word having a consonant as its middle letter is:
AP EAPCET - 2025
AP EAPCET
Mathematics
Probability
For any two non-zero complex numbers \(z_1\) and \(z_2\), if \(|z_1 + z_2|^2 = |z_1|^2 + |z_2|^2\), then
AP EAPCET - 2025
AP EAPCET
Mathematics
Complex numbers
Which one of the following acts as an autocatalyst during titration of \( KMnO_4 \) and oxalic acid in presence of dilute \( H_2SO_4 \)?
AP EAPCET - 2025
AP EAPCET
Chemistry
Catalysis
If 3 squares are chosen at random from the 64 squares of a chessboard, then the probability that all of them lie along the same diagonal line is:
AP EAPCET - 2025
AP EAPCET
Mathematics
Probability
If the average number of accidents occurring at a particular junction on a highway in a week is 5, then the probability that at most one accident occurs in a particular week is:
AP EAPCET - 2025
AP EAPCET
Mathematics
Poisson distribution
In \(\triangle ABC\), if \(a : b : c = 4 : 5 : 6\), then \( \dfrac{\cos A + 3 \cos C}{\cos B} = \)
AP EAPCET - 2025
AP EAPCET
Mathematics
Triangles
Which of the following properties is not correct for silicones?
AP EAPCET - 2025
AP EAPCET
Chemistry
Periodic Trends In Properties Of Elements
The differential equation of the family of circles passing through the origin and having centre on X-axis is
AP EAPCET - 2025
AP EAPCET
Mathematics
Differential Equations
At \(25 ^\circ\text{C}\), \(K_a\) of formic acid is \(1.8 \times 10^{-4}\). What is the \(K_b\) of \( \text{HCOO}^- \)?
AP EAPCET - 2025
AP EAPCET
Chemistry
Thermochemistry
If \( \beta \) is an angle between the normals drawn to the curve \( x^2+3y^2=9 \) at the points \( (3\cos\theta, \sqrt{3}\sin\theta) \) and \( (-3\sin\theta, \sqrt{3}\cos\theta) \), \( \theta \in \left(0, \frac{\pi}{2}\right) \), then
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
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
AP EAPCET - 2025
AP EAPCET
Physics
Nuclear Force
Consider the following A) 0.0025 B) 500.0 C) 2.0034 Number of significant figures in A, B and C respectively, are
AP EAPCET - 2025
AP EAPCET
Chemistry
Gas laws
If \( \int \frac{\cos^3 x}{\sin^2 x + \sin^4 x} dx = c - \operatorname{cosec} x - f(x) \), then \( f\left(\frac{\pi}{2}\right) = \)
AP EAPCET - 2025
AP EAPCET
Mathematics
Exponential and Logarithmic Functions
If two sides of a triangle are represented by \( 3x^2 - 5xy + 2y^2 = 0 \) and its orthocentre is (2,1), then the equation of the third side is
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
If \( {}^{27}P_{r+7} = 7722 \cdot {}^{25}P_{r+4} \), then r =
AP EAPCET - 2025
AP EAPCET
Mathematics
Number System
If \( ax^2 + 2hxy - 2ay^2 + 3x + 15y - 9 = 0 \) represents a pair of lines intersecting at (1,1), then ah =
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
Consider the following Statement-I : \( \text{Al}_2\text{O}_3 \) is amphoteric in nature. Statement-II : \( \text{Tl}_2\text{O}_3 \) is more basic than \( \text{Ga}_2\text{O}_3 \). The correct answer is
AP EAPCET - 2025
AP EAPCET
Chemistry
Metallurgy
Which of the following is used as froth stabilizer in froth floatation process?
AP EAPCET - 2025
AP EAPCET
Chemistry
Metallurgy
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
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
4 mL of 'X volume' \( \text{H}_2\text{O}_2 \) on heating gives 80 mL of oxygen at STP. The value of X is
AP EAPCET - 2025
AP EAPCET
Chemistry
Acids and Bases
A line \(L_1\) passing through the point of intersection of the lines \(x-2y+3=0\) and \(2x-y=0\) is parallel to the Line \(L_2\). If \(L_2\) passes through origin and also through the point of intersection of the lines \(3x-y+2=0\) and \(x-3y-2=0\), then the distance between the lines \(L_1\) and \(L_2\) is
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
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