List of top Questions asked in TS EAMCET- 2026

The total energy of a particle executing simple harmonic motion with 2 cm amplitude is 160 mJ. The force acting on the particle at a point where the ratio of the potential and kinetic energies of the particle becomes 1 : 15 is

Two bodies A and B of masses 2 kg and 3 kg respectively are moving along the same straight line such that the linear momentum of body A is greater than the linear momentum of body B. The velocity of centre of mass of the system of the two bodies when they are moving in the same direction is 9 times the velocity of centre of mass when they are moving in opposite directions. The ratio of the velocities of the bodies A and B is

A comet at infinity starts moving towards the earth and passes the earth at a distance of 4R from the center of the earth, where R is the radius of the earth. If escape velocity of a body from the surface of earth is $11.2~kms^{-1}$, then the maximum velocity of the comet is}

A ball of mass 0.5 kg is dropped freely from a point A which is at a height of 10 m from the ground. Between second and third collisions with the ground, the linear momentum of the ball becomes zero at a point B. If the coefficient of restitution between the ball and the ground is 0.5, then the percentage loss of the potential energy of the ball when it reaches point B is

A body is allowed to fall freely from a height of 120 m from the ground and at the same moment another ball is thrown vertically upwards from the ground such that it reaches a maximum height of 180 m. The time taken for the two bodies to meet is (Acceleration due to gravity $=10~ms^{-2}$)

The time taken by a projectile to reach the maximum height is 4 s. If the horizontal distance between the positions of the projectile at times 3 s and 5 s is 60 m, then its velocity of projection is (Acceleration due to gravity $=10~ms^{-2}$)

When a force of 8 N is applied on a body, its velocity changes from 8 $ms^{-1}$ to $16~ms^{-1}$ in a time of 4 s. The force required to change the velocity of the same body from $16~ms^{-1}$ to $20~ms^{-1}$ in a time of 2 s is}

The time taken by a body projected vertically upwards from the ground to reach 75% of the maximum height it can reach is 2 s. The ratio of the kinetic energy of the body at a time $t=2$ s and the potential energy of the body at a time $t=3$ is (Acceleration due to gravity $=10~ms^{-2}$)

The range of the weak nuclear force is of the order of

The number of significant figures in 0.020260 is

\(\int_0^2 |2x^2-9x+9|dx=\)

Area enclosed by \(x^2-2x+y+1=0\) and \(3x+y-3=0\)

Differential equation for family \(y=ae^{2x}+bx^2\) is

If \(y=f(x)\) satisfies \[ \tan x \frac{dy}{dx}+(1+\tan^2 x)y=\tan x(1+\tan^2 x)^2 \] and passes through \(\left(\frac{\pi}{4},\frac{3}{4}\right)\), find \(f\left(\frac{\pi}{3}\right)\)

\(\int e^{\tan x}(\tan^{7}x+5\tan^{6}x+\tan^{5}x+5\tan^{4}x)\,dx=\)

If the nearest point on the parabola $y^{2}=4x$ to the given point $P(-1,4)$ is $Q(h,k)$ and $PQ=d$, then $h^{2}+k^{2}+d^{2}=$}

\(\int \frac{1}{2\cot x-3\tan x}dx =\)

If P and Q are the points of intersection of the straight line $x=1$ and the curve $x^{2}+xy+y^{2}=7$ then the acute angle between the normals drawn at P and Q is}

\(\int \sin^3 2x \sin^{26}x \, dx=\)

If $y=e^{2x}+sin~x$, then $2y^{\prime\prime}-5y^{\prime}+2y=$}

$[\frac{d}{dx}((sin~x)^{cos~x})]_{x=7/4}=$}

The area of a triangle is obtained with lengths of two sides and included angle between them. If the angle is measured as $60^{\circ}20^{\prime}$ instead of $60^{\circ}$, then the percentage error in its area is}

If the rate of change of volume of a cube and that of its surface area are numerically equal, then the length of its diagonal is

If $x=Sin^{-1}(cos~t)$ and $y=Tan^{-1}(cos~t)$ then $\frac{dy}{dx}=$}

If $f(x)=\begin{cases}\frac{x}{|x|}when~x\ne0\\ |x|when~x=0\end{cases}$ is a real valued function, then}