List of top Questions asked in TS EAMCET

By application of derivatives, approximate value of \[ \sqrt[5]{242} \] is

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

Aryl halides are less reactive towards nucleophilic substitution reaction when compared to alkyl halides. This is because
• [I.] If aryl cation is formed, it is not stabilized by resonance
• [II.] $\text{C}-\text{X}$ has partial double bond character due to resonance}
• [III.] $\text{sp}^3$-hybridized carbon is attached to the halogen}
• [IV.] $\text{C}-\text{X}$ bond length is more} The correct reasons are

A real valued function \(f\) defined by \[ f(x)=|x|-x \] is

If \[ z=\frac{(1-i)^2}{(-\sqrt3+i)^3}, \] then the principal amplitude of \(z\) is

If \(\alpha,\beta\in\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\), \[ \cos^4\alpha=\frac1{16},\qquad \sin^4\beta=\frac1{16} \] then \[ \cos\alpha+\cos\beta= \]

If \[ \left| \begin{matrix} x-3& 2& 1\\ 3& x-2& 1\\ 3& 2& x-1 \end{matrix} \right| = (x-2)(px^{2}+qx+r)+8, \] then \(3p-2q+r=\)

For a particle executing simple harmonic motion, if the velocities at distances \(6\text{ cm}\) and \(8\text{ cm}\) from mean position are \(16\pi\text{ cms}^{-1}\) and \(12\pi\text{ cms}^{-1}\) respectively, then maximum acceleration is

Product of all the five values of \[ (1-i)^{4/5} \] is

The fundamental force that operates among all the objects in the universe is

A point object moves towards a concave mirror (f = 20 cm) at 4 cm/s. Find speed of image when object is at 60 cm.

When an object is placed at a distance of 40 cm from a convex lens, a real image is formed at a distance V from the lens. If the convex lens is replaced with a concave lens of same focal length, then the change in the position of the image is

Which of the following set(s) of reagents convert benzoic acid (\(X\)) to primary amine (\(Y\)) with one carbon atom more than that in \(X\)? \[ \begin{aligned} \text{I. }&\mathrm{NH_3/\Delta;\ Br_2,\ OH^-} \text{II. }&\mathrm{LiAlH_4;\ H_2O} \text{III. }&\mathrm{LiAlH_4,\ H_2O;\ NaBr/H_2SO_4;\ KCN;\ H_2/Ni} \end{aligned} \] The correct answer is

Which of the following pairs contain isostructural species? \[ \begin{aligned} \text{I. } & \mathrm{H_3PO_3,\ H_2SO_4} \\ \text{II. } & \mathrm{SO_3,\ BF_3} \\ \text{III. } & \mathrm{O_3,\ NO_2^-} \end{aligned} \] The correct answer is

A circle \(S\equiv x^2+y^2+4x+2fy+c=0\) passes through the centre of the circle \(x^2+y^2-4x+6y-2=0\). If the line \(3x-3y=c\) passes through the centre of the circle \(S=0\), then the length of tangent from \((1,1)\) to the circle \(S=0\) is

The compound that is most reactive towards electrophilic nitration is

Beats are produced by superposition of two waves with:

Ethanol + Water shows:

The distance of the point \((1,2)\) from the directrix of the parabola \[ y^2-4x-4y+8=0 \] is:

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}

If a resistor of resistance \(30\,\Omega\) and an inductor of reactance \(40\,\Omega\) are connected in series to an AC source of peak voltage \(200\sqrt2\,\mathrm{V}\), then the average power loss over a complete cycle is

The magnetic flux linked with a coil varies as $\phi = 2.5t^2 + 5t + 7$ (t in s). If the induced electric power at t = 3 s is 2 W, then the power at t = 5 s is:

Consider a series of measurements of the length of a box in an experiment. The readings are 2.4m, 2.5m, 2.6m, 2.8m, 3.0m. What would be the relative error?

In a common emitter amplifier, when the base to emitter voltage changes by \(20\,\mathrm{mV}\), the change in collector current is \(3\,\mathrm{mA}\). If the output resistance is \(4\,\mathrm{k\Omega}\), then the voltage gain of the amplifier is