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AP EAPCET
List of top Questions asked in AP EAPCET
In which one of the following complexes the metal ion has \( t_{2g}^3 e_g^2 \) configuration?
AP EAPCET - 2025
AP EAPCET
Chemistry
Nomenclature of Coordination Compounds
The composition of a sample of wustite is \( \text{Fe}_{0.93} \text{O}_{1.00} \). Percentage of iron in the form of \( \text{Fe}^{3+} \) ion is nearly:
AP EAPCET - 2025
AP EAPCET
Chemistry
The solid state
Consider the following gaseous equilibrium reactions (I), (II) and (III) with equilibrium constants \( K_1 \), \( K_2 \), and \( K_3 \) respectively:
I)
\( \frac{1}{2} N_2 + \frac{3}{2} H_2 \rightleftharpoons NH_3 \)
II)
\( 2NO \rightleftharpoons N_2 + O_2 \)
III)
\( H_2 + \frac{1}{2} O_2 \rightleftharpoons H_2O \)
The correct expression for the equilibrium constant for the gaseous equilibrium reaction:
\[ 2NH_3 + \frac{5}{2} O_2 \rightleftharpoons 2NO + 3H_2O \]
AP EAPCET - 2025
AP EAPCET
Chemistry
Thermochemistry
Which set of elements form electron-precise hydrides?
AP EAPCET - 2025
AP EAPCET
Chemistry
Acids and Bases
The correct order of density of Be, Mg, Ca, Sr is:
AP EAPCET - 2025
AP EAPCET
Chemistry
Inorganic chemistry
Identify the reaction in which diborane is produced on an industrial scale:
AP EAPCET - 2025
AP EAPCET
Chemistry
Metallurgy
Match the following pollutant concentration limits in water with their effects:
AP EAPCET - 2025
AP EAPCET
Chemistry
Inorganic chemistry
The sum of bond order values of \( C_2 \) and \( O_2^{2-} \) is \( x \), which is equal to the sum of bond order values of \( a, b, \) and \( c \). What are \( a, b, \) and \( c \)?
AP EAPCET - 2025
AP EAPCET
Chemistry
Inorganic chemistry
At \( 27^\circ C \) kinetic energy of 4 g of \( H_2 \) is \( x \) J. What is the kinetic energy (in J) of 6.4 g of oxygen at \( 127^\circ C \)?
AP EAPCET - 2025
AP EAPCET
Chemistry
The Valence Shell Electron Pair Repulsion (VSEPR) Theory
A long straight wire of circular cross-section of radius \( a \) is carrying a steady current. The current is distributed uniformly across the cross-section of the wire. The ratio of the magnetic fields at points \( 0.5a \) and \( 1.5a \) from the centre of the wire is:
AP EAPCET - 2025
AP EAPCET
Physics
Magnetism and matter
If a wheel with 24 metallic spokes each \( 40 \) cm long is rotated with a speed of \( 180 \) rev/min in a plane normal to the horizontal component of Earth's magnetic field, the emf induced between the axle and the rim of the wheel is \( E \). If the number of spokes is made \( 12 \) and the wheel is rotated with a speed of \( 90 \) rev/min in the same field, the induced emf is:
AP EAPCET - 2025
AP EAPCET
Physics
Electromagnetic induction
If a resistor of resistance \( 4 \Omega \), a capacitor of capacitive reactance \( 6 \Omega \) and an inductor of inductive reactance \( 9 \Omega \) are connected in series with an AC source, then the impedance of the circuit is:
AP EAPCET - 2025
AP EAPCET
Physics
Electromagnetic induction
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
The capacitance of a spherical capacitor is \( 100 \) pF. If the spacing between the two spheres is \( 1 \) cm, then the radius of the inner sphere of the capacitor is:
AP EAPCET - 2025
AP EAPCET
Physics
Capacitance
If a charged particle enters a uniform magnetic field normally with certain velocity, then the time period of revolution of the particle:
AP EAPCET - 2025
AP EAPCET
Physics
Magnetism and matter
The internal energy of one mole of a rigid diatomic gas at absolute temperature \( T \) is:
AP EAPCET - 2025
AP EAPCET
Physics
The Kinetic Theory of Gases
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
A body of mass \( 4 \) kg attached to a spring of force constant \( 64 \) N/m executes simple harmonic motion on a frictionless horizontal surface. The time period of oscillation is:
AP EAPCET - 2025
AP EAPCET
Physics
Simple Harmonic Motion
A mass of \( 6 \times 10^{24} \) kg is to be compressed in the form of a solid sphere such that the escape velocity from its surface is \( 3 \times 10^5 \) m/s. The radius of the sphere is:
AP EAPCET - 2025
AP EAPCET
Physics
Satellite Motion and Angular Momentum
A body of mass \( M \) is moving with a uniform speed \( v \) on a frictionless horizontal surface under the influence of two forces \( F_1 \) and \( F_2 \) as shown in the figure. The net power of the system is:
AP EAPCET - 2025
AP EAPCET
Physics
Forces
Evaluate the integral:
\[ I = \int_{\pi/6}^{\pi/3} \cos^{-4} x \, dx \]
AP EAPCET - 2025
AP EAPCET
Mathematics
Integration
Evaluate the integral:
\[ I = \int_0^{3\pi/2} \frac{\cos^5 x}{\cos^3 x+\sin^3 x}dx \]
AP EAPCET - 2025
AP EAPCET
Mathematics
Integration
The differential equation for which \( y^2 = 4a(x + a) \) (where \( a \) is a parameter) is the general solution is:
AP EAPCET - 2025
AP EAPCET
Mathematics
Differential Equations
If the lengths of the tangent, subtangent, normal, and subnormal for the curve \( y = x^2 + x - 1 \) at the point \( (1,1) \) are \( a, b, c, \) and \( d \) respectively, then their increasing order is:
AP EAPCET - 2025
AP EAPCET
Mathematics
Geometry
Evaluate the integral:
\[ \int \frac{x+1}{x^3 - 1}dx \]
AP EAPCET - 2025
AP EAPCET
Mathematics
Integration
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