List of top Questions asked in TS EAMCET- 2026

If $Q_1$ is heat to convert 2 g ice at 0°C to water at 40°C and $Q_2$ for 4 g ice at 0°C to water at 80°C, find $Q_1:Q_2$ (L = 80 cal/g, c = 1 cal/g°C):

If W is the energy required to form a soap bubble of radius R, then energy required to increase radius from R to 3R is:

If two bodies A and B of masses 5 kg and 10 kg are thrown vertically upwards from the surface of the earth with velocities $\sqrt{0.5gR}$ and $\sqrt{0.2gR}$ respectively, then the ratio of maximum heights reached by the bodies A and B is: (R = Radius of the earth)}

A block of mass 2 kg is kept on a horizontal surface and is pulled with a horizontal force F. If the surface is smooth, the acceleration is $8\ \text{m s}^{-2}$. If the surface is rough with coefficient 0.25, acceleration is: (g = $10\ \text{m s}^{-2}$)}

If a force of $(6\sqrt{3}\hat{i}-4\sqrt{2}\hat{j})\text{ N}$ acts on a body of mass 3.7 kg and displaces the body by $(2\sqrt{3}\hat{i})\text{ m}$, then the work done by the force is:}

A ball P in motion collides with another ball Q of same mass at rest. If the coefficient of restitution between the two balls is 0.2, then the ratio of the velocities of the two balls P and Q after collision is:

A body P of mass 3 kg at rest is dropped from a height of 250 m. At the same moment another body Q of mass 2 kg is thrown vertically upwards with velocity $50\text{ m s}^{-1}$. Both move along same line. The velocity of Q when centre of mass reaches maximum height is: (g = $10\text{ m s}^{-2}$)}

If the kinetic energy of a solid sphere when it rolls without slipping is 700 J, then its kinetic energy when it slips without rolling with same velocity is:

If a body is projected from the ground at an angle of $45^\circ$ with the horizontal, then the ratio of the velocities of the body at maximum height and at half of the maximum height is:

Two balls P and Q are thrown vertically upwards simultaneously from the ground with velocities $20\ \text{m s}^{-1}$ and $35\ \text{m s}^{-1}$ respectively. The distance between the two balls when the velocity of P becomes zero is: (g = $10\ \text{m s}^{-2}$)}

The solution of the differential equation \[ \frac{dy}{dx} = \frac{3^{x+y}-2\cdot3^x} {3^{x+y}-2\cdot3^y} \] when \[ y(1)=2 \] is:

The fundamental force that plays a key role in the large scale phenomena of the universe is:

If the errors in the measurements of diameter, length and electrical resistance of a wire are 1%, 0.5% and 2% respectively, then percentage error in the determination of the resistivity of material of the wire is:

The general solution of the differential equation \[ (2xy+y^2)\,dy=(x^2-y^2)\,dx \] is:

Evaluate the definite integral: \[ \int_{-\frac{\pi}{3}}^{\frac{\pi}{3}} \frac{x+\frac{\pi}{2}} {2-\sin^2 x} \,dx \]

Evaluate: \[ \int \frac{3x\sec^2\!\sqrt{9x^2-12x+1} -\sec^2\!\sqrt{(3x-2)^2-3}} {\sqrt{9x^2-12x+1}} \,dx \]

Evaluate: \[ \int_{0}^{\pi} \sqrt{1+4\cos\frac{x}{2}} \left(\cos\frac{x}{2}-1\right)\,dx \]

If \[ \int_{2}^{3} \frac{3\log x} {3\log x+\log(125-75x+15x^2-x^3)} \,dx = k, \] then \[ 4k^2+2k+1= \]

Evaluate: \[ \int \frac{\cos 2x+\sin 4x} {\sqrt{3\sin 2x-2}} \,dx \]

Evaluate: \[ \int \frac{1}{\sin x \cos 2x}\,dx \]

If a tangent drawn at the point \(P(h,k)\), where \(h,k\in \mathbb{Z}\), on the curve \[ y=2x^3+3x^2-4x-1 \] passes through the point \(Q(2,8)\), then \(PQ=\)

If the base of an isosceles triangle is \(3\sqrt{2}\) feet and the two equal sides are increasing at the rate of \(1\) ft/s, then the rate of increase of its area (in sq.ft/sec) when the angle between the equal sides is a right angle is

Evaluate: \[ \int \frac{\sin4x}{\sin x}\,dx \]

If \[ f(x)=x^3-19x+30 \] is a real valued function with domain \([-4,1]\), then the value of \(c\) according to Lagrange's Mean Value Theorem for \(f(x)\) is

The function \[ f(x)=x|x-1|+|x+2| \] is