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AP EAMCET 2024
List of top Questions asked in AP EAMCET- 2024
A light body of momentum \( P_L \) and a heavy body of momentum \( P_H \), both have the same kinetic energy, then:
AP EAMCET - 2024
AP EAMCET
Physics
Kinetic Energy
A spherical ball of radius \( 1 \times 10^{-4} \) m and density \( 10^4 \) kgm\(^{-3}\) falls freely under gravity before entering water. The distance \( h \) before velocity change in water is:
AP EAMCET - 2024
AP EAMCET
Physics
Speed and velocity
A cell of emf 1.2 V and internal resistance 2 \( \Omega \) is connected in parallel to another cell of emf 1.5 V and internal resistance 1 \( \Omega \). If the like poles of the cells are connected together, the emf of the combination of the two cells is:
AP EAMCET - 2024
AP EAMCET
Physics
Resistance
When a wave enters into a rarer medium from a denser medium, the property of the wave which remains constant is:
AP EAMCET - 2024
AP EAMCET
Physics
The solid state
The current passing through a coil of 120 turns and inductance \( 40 \) mH is \( 30 \) mA. The magnetic flux linked with the coil is:
AP EAMCET - 2024
AP EAMCET
Physics
Inductance
The efficiency of a Carnot engine is found to increase from 25% to 40% on increasing the temperature (\(T_1\)) of the source alone through 100 K. The temperature (\(T_2\)) of the sink is given by:
AP EAMCET - 2024
AP EAMCET
Physics
The solid state
A machine with efficiency \( \frac{2}{3} \) used 12 J of energy in lifting a 2 kg block through a certain height and it is allowed to fall through the same. The velocity while it reaches the ground is:
AP EAMCET - 2024
AP EAMCET
Physics
Speed and velocity
If the plane
\[ x - y + z + 4 = 0 \]
divides the line joining the points
\[ P(2,3,-1) \quad {and} \quad Q(1,4,-2) \]
in the ratio \( l:m \), then \( l + m \) is:
AP EAMCET - 2024
AP EAMCET
Mathematics
Plane
The product of perpendiculars from the two foci of the ellipse
\[ \frac{x^2}{9} + \frac{y^2}{25} = 1 \]
on the tangent at any point on the ellipse is:
AP EAMCET - 2024
AP EAMCET
Mathematics
Ellipse
If the line with direction ratios
\[ (1, a, \beta) \]
is perpendicular to the line with direction ratios
\[ (-1,2,1) \]
and parallel to the line with direction ratios
\[ (\alpha,1,\beta), \]
then
\( (\alpha, \beta) \)
is:
AP EAMCET - 2024
AP EAMCET
Mathematics
general equation of a line
The equation of the tangent to the curve
\[ y = x^3 - 2x + 7 \]
at the point
\( (1,6) \)
is:
AP EAMCET - 2024
AP EAMCET
Mathematics
general equation of a line
The real values of \( x \) that satisfy the equation
\[ \tan^{-1}x + \tan^{-1}2x = \frac{\pi}{4} \]
is:
AP EAMCET - 2024
AP EAMCET
Mathematics
general equation of a line
P is a point on \( x + y + 5 = 0 \), whose perpendicular distance from \( 2x + 3y + 3 = 0 \) is \( \sqrt{13} \), then the coordinates of P are:
AP EAMCET - 2024
AP EAMCET
Mathematics
Shortest Distance Between Skew Lines
There are 6 different novels and 3 different poetry books on a table. If 4 novels and 1 poetry book are to be selected and arranged in a row on a shelf such that the poetry book is always in the middle, then the number of such possible arrangements is:
AP EAMCET - 2024
AP EAMCET
Mathematics
general and middle terms
Imaginary part of
\( \frac{(1 - i)^3}{(2 - i)(3 - 2i)} \)
is:
AP EAMCET - 2024
AP EAMCET
Mathematics
solution of system of linear inequalities in two variables
Evaluate the integral
\[ \int \frac{\sin^6 x}{\cos^8 x} \, dx. \]
AP EAMCET - 2024
AP EAMCET
Mathematics
Definite Integral
For \( \lambda, \mu \in \mathbb{R} \), the lines
\[ (x - 2y - 1) + \lambda (3x + 2y - 11) = 0 \]
and
\[ (3x + 4y - 11) + \mu (-x + 2y - 3) = 0 \]
represent two families of lines. If the equation of the line common to both families is given by
\[ ax + by - 5 = 0, \]
then \( 2a + b = \) ?
AP EAMCET - 2024
AP EAMCET
Mathematics
Family of Lines
A charged particle moving along a straight-line path enters a uniform magnetic field of \( 4 \) mT at right angles to the direction of the magnetic field. If the specific charge of the charged particle is \( 8 \times 10^7 \) C/kg, the angular velocity of the particle in the magnetic field is:
AP EAMCET - 2024
AP EAMCET
Physics
The solid state
Haplodiploidy is a mechanism of sex determination that is common in
AP EAMCET - 2024
AP EAMCET
Zoology
Evolutionary Biology
Pure silicon at 300K has equal electron and hole concentration of \( 1.5 \times 10^{16} \) m\(^{-3}\). If the hole concentration increases to \( 3 \times 10^{22} \) m\(^{-3}\), then the electron concentration in the silicon is:
AP EAMCET - 2024
AP EAMCET
Physics
The solid state
A 4 kg stone is attached to a steel wire being whirled at a constant speed of \( 12 \) m/s in a horizontal circle. The wire is 4 m long with a diameter of 2 mm, and Young’s modulus is \( 2 \times 10^{11} \) Nm\(^2\). The strain in the wire is:
AP EAMCET - 2024
AP EAMCET
Physics
Speed and velocity
If \( \lambda_0 \) and \( \lambda \) are respectively the threshold wavelength and wavelength of incident light, the velocity of photoelectrons ejected from the metal surface is:
AP EAMCET - 2024
AP EAMCET
Chemistry
Dual nature of radiation and matter
A flask contains 98 mg of H₂SO₄. If \( 3.01 \times 10^{20} \) molecules of H₂SO₄ are removed from the flask, the number of moles of H₂SO₄ remaining in the flask is (\( N = 6.02 \times 10^{23} \)):
AP EAMCET - 2024
AP EAMCET
Chemistry
Methods Of Purification Of Organic Compounds
In binary fission two daughter euglena develop new flagella individually
AP EAMCET - 2024
AP EAMCET
Zoology
Endocrinology
A solid cylinder rolls down on an inclined plane of height \( h \) and inclination \( \theta \). The speed of the cylinder at the bottom is:
AP EAMCET - 2024
AP EAMCET
Physics
The solid state
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