List of top Questions asked in TS EAMCET

A 20-ton truck is traveling along a curved path of radius 240 m. If the center of gravity of the truck above the ground is 2 m and the distance between its wheels is 1.5 m, the maximum speed of the truck with which it can travel without toppling over is:
(Acceleration due to gravity $ g = 10 $ ms$^{-2}$)

The excess pressure inside a soap bubble of radius 0.5 cm is balanced by the pressure due to an oil column of height 4 mm. If the density of the oil is 900 kg m$^-3$, then the surface tension of the soap solution is:

A solid sphere at a temperature $ T $ K is cut into two hemispheres. The ratio of energies radiated by one hemisphere to the whole sphere per second is:

Two point charges of magnitudes $ -8 \mu C $ and $ +32 \mu C $ are separated by a distance of 15 cm in air. The position of the point from the $ -8 \mu C $ charge at which the resultant electric field becomes zero is:

The potential difference between the ends of a straight conductor of length 20 cm is 16 V. If the drift speed of the electrons is $ 2.4 \times 10^{-4} $ m/s, the electron mobility in $ m^2 V^{-1} s^{-1} $ is:

Two charged particles A and B of masses (m) and ( 2m), charges ( 2q) and ( 3q ) respectively, are moving with the same velocity into a uniform magnetic field such that both particles make the same angle $ \theta (<90^\circ) $with the direction of the magnetic field. Then the ratio of the pitches of the helical paths of the particles A and B is:

In Young's double slit experiment, intensity of light at a point on the screen where the path difference becomes $ \lambda $ is I. The intensity at a point on the screen where the path difference becomes $ \frac{\lambda}{3} $ is,

An inductor and a resistor are connected in series to an AC source of 10 V. If the potential difference across the inductor is 6 V, then the potential difference across the resistor is

The de Broglie wavelength of a proton is twice the de Broglie wavelength of an alpha particle. The ratio of the kinetic energies of the proton and the alpha particle is:

If $ i = \sqrt{-1} $ then $\text{Arg}\left[ \frac{(1+i)^{2025}}{1+i^{2022}} \right]=$

Let y = t² - 4t -10 and ax + by + c = 0 be the equation of the normal L. If G.C.D of (a,b,c) is 1, then m(a+b+c) =

If the function f(x) = xe^-x , x ∈ R attains its maximum value β at x = α then (α, β) =

\[\int_{-1}^{1} x|x| \,dx\]

$\int_{\frac{-\pi}{2}}^{\frac{\pi}{2}} sin^2xcos^2x(sinx+cosx)dx=$

The area (in square units) of the region bounded by the curve y = |sin2x| and the X-axis in [0,2π] is

If f(x) is a function such that f(x+y) = f(x)+ f(y) and f(1) = 7 then $ \sum_{r=1}^{n}$ f(r) =

If A is a square matrix of order 3, then |Adj(Adj A²)| =

If (-c, c) is the set of all values of x for which the expansion is (7 - 5x)^-2/3 is valid, then 5c + 7 =

The quadratic equation whose roots are

$l = \lim_{\theta\to0} \frac{3sin\theta - 4sin^3\theta}{\theta}$

m = $\lim_{\theta\to0} \frac{2tan\theta}{\theta(1-tan^2\theta)}$ is

If X_n= cos $\frac{ π}{2^n}$ + i sin$\frac{ π}{2^n}$ , then

\[\prod_{n=1}^{\infty} x_n =\]

If A = $\begin{bmatrix} 0 & 3\\ 0 & 0 \end{bmatrix}$and f(x) = x+x²+x³+.....+x²⁰²³, then f(A)+I =

The quadratic equation whose roots are sin²18° and cos²36° is

The roots of the equation x⁴ + x³ - 4x² + x + 1 = 0 are diminished by h so that the transformed equation does not contain x² term. If the values of such h are α and β, then 12(α - β)² =

If x = log (y +√y2 + 1 ) then y =

A bag contains four balls. Two balls are drawn randomly and found them to be white. The probability that all the balls in the bag are white is