List of top Questions asked in TS EAMCET- 2025

When a bullet is fired with a velocity of $150~\text{m s}^{-1}$ at a target of thickness 50 cm, it emerges with a velocity of $100~\text{m s}^{-1}$. If another bullet of same mass is fired with same velocity at a second target of thickness 80 cm, then the velocity with which the bullet emerges from the second target is (Retarding forces are equal in both the cases)
In which of the following, the compounds are arranged in the correct order of acidic strength?
Observe the following unbalanced equations:
(I) $H_2O(l) + Na(s) \rightarrow$
(II) $H_2O(l) + F_2(g) \rightarrow$
Identify the correct statement.
Two spherical shells of radii $R$ and $2R$, masses $M$ and $2M$ respectively are arranged concentrically. The net gravitational force acting on a particle of mass $m$ placed at a distance of $23R$ from the common centre of the shells is ($G$ = Universal gravitational constant)
The thermo emf of a thermocouple varies with temperature as \( E = A\theta + B\theta^2 \). If the cold junction is kept at \( 0^\circ C \), the neutral temperature is:
If \(f:[a,b] \to [c,d]\) is a continuous and strictly increasing function, then \(\frac{d-c}{b-a}\) is
A solid sphere of mass 2 kg and radius 0.5 m is rolling without slipping on a horizontal surface. The ratio of the rotational and translational kinetic energies of the sphere is
A body projected at certain angle (\(\neq 90^\circ\)) from the ground crosses a point in its path at a time of 2.3 s and from there it reaches the ground after a time of 5.7 s. The maximum height reached by the body is (Acceleration due to gravity = 10 ms\(^{-2}\))
A Zener diode of breakdown voltage 6 V is connected as shown in the circuit. The power dissipated in the Zener diode is
If the domain of the real valued function $f(x) = \frac{1}{\sqrt{\log_{\frac{1}{3}}\left(\frac{x-1}{2-x}\right)}}$ is $(a,b)$, then $2b =$
If the range of the real valued function $f(x) = \frac{x^2 + x + k}{x^2 - x + k}$ is $[\frac{1}{3}, 3]$, then $k =$
If \( \alpha, \beta, \gamma \) are the roots of the equation \( x^3 - Px^2 + Qx - R = 0 \) and \( (\alpha-2)^2, (\beta-2)^2, (\gamma-2)^2 \) are the roots of the equation \( x^3 - 5x^2 + 4x = 0 \), then the possible least value of \( P+Q+R \) is
The number of integers lying between 1000 and 10000 such that the sum of all the digits in each of those numbers becomes 30 is
If the variance of the numbers \( 9, 15, 21, \dots, (6n+3) \) is P, then the variance of the first \( n \) even numbers is
The displacement of a body executing simple harmonic motion is $y = 8\cos(\pi t)$ cm. The displacement of the body in the time interval between 1.5 s and 2.5 s is:
The volume (in L) of CO2(g) obtained at STP by completely burning 10 g of 90% pure CaCO3 is approximately (molar volume of CO2 at STP=22.7L) (Assume CO2 as an ideal gas) (CaCO3=100u)
The potential difference between the plates of a parallel plate capacitor is changing at the rate of $3.5\times10^6$ V/s. If the displacement current is 7 A, the capacitance of the capacitor is:
If $f(x) = x^2 - 2(4K-1)x + g(K)>0$ $\forall x \in \mathbb{R}$ and for $K \in (a,b)$, and if $g(K) = 15K^2 - 2K - 7$, then
Two ships leave a port at the same time. One of them moves in the direction of E50$^\circ$N with a speed of 8 kmph and the other moves in the direction of S20$^\circ$E with a speed of 12 kmph. Then the distance between the ships at the end of 2 hours is (in km)
The period of the function \( f(x) = \frac{2\sin\left(\frac{\pi x}{3}\right) \cos\left(\frac{2\pi x}{5}\right)}{3\tan\left(\frac{7\pi x}{2}\right) - 5\sec\left(\frac{5\pi x}{3}\right)} \) is
A body is projected vertically upward with an initial velocity of 40 m/s. Calculate the maximum height reached by the body. (Take \( g = 9.8 \, \text{m/s}^2 \))
A body of mass 50 g is projected vertically upwards from the ground. If the kinetic energy of the body at a height of 32 m is 100% more than its potential energy, then the height at which the potential energy of the body becomes 60% of its kinetic energy is
A rod has length \( L \). The linear mass density is \( 2x \, \text{kg/m} \), where \( x \) is the distance from the left end. The center of mass of the rod from the left end lies at a distance of
The coefficient of $x^{12}$ in the expansion of $(x^2+2x+2)^8$ is
A particle is executing simple harmonic motion with an amplitude of 10 cm. If the kinetic energy of the particle at a distance of 6 cm from the mean position is 100 J, then the kinetic energy of the particle at a distance of 2 cm from the mean position is