List of top Questions asked in TS EAMCET

In a time of \(10\) minutes, the activity of a radioactive sample becomes \[ \frac{1}{\sqrt5} \] times its initial activity. After \(10\) more minutes, if its activity becomes \(K\) times the initial activity, the value of \(K\) is

The electric potentials at two points A and B are \(+60\text{ V}\) and \(-30\text{ V}\) respectively. If a particle of mass \(20\,\mu\text{g}\) and charge \(+10\,\mu\text{C}\) is released from rest at point A, then the velocity with which the particle reaches point B is:

If \[ \vec r=\vec a+t\vec b \quad\text{and}\quad \vec r=\vec p+l\vec b \] are two lines, where \[ \vec a=\hat i+2\hat j,\qquad \vec b=\hat i+\hat j+\hat k,\qquad \vec p=2\hat i+\hat k. \] The position vector of a point \(A\) is \[ 5\hat i+\hat j-3\hat k. \] Let \(B,C\) be the feet of the perpendiculars drawn from \(A\) to the given two lines respectively, then \[ \overrightarrow{BA}+\overrightarrow{AC}= \]

The magnetic field required to accelerate deuterons in a cyclotron operated at a frequency of 28 MHz is (Mass of proton $=1.67\times10^{-27}kg$)

The work done by a centripetal force is:

If \( \omega \) is a complex cube root of unity, then \[ \cos\left(\left(\omega^{1234} + \omega^{2021}\right)\pi - \frac{\pi}{4}\right) = \]

In a Poisson distribution with parameter \(\lambda\), if \[ 5P(X=3)=P(X=5) \] then \[ P(X=2)= \]

If \(P(1,2,5)\), \(Q(3,0,7)\), \(R(6,-3,10)\) are collinear and \((\alpha,\beta,\gamma)\) is a point at distance 3 from \(P\) on the same line, then the value of \(\alpha+\beta+\gamma\) lying between 6 and 7 is:

In the given circuit, if the forward biased resistance of each diode is \(20\,\Omega\) and the reverse biased resistance of each diode is infinity, then the value of current \(I\) is:

Tangent to circle \(x^2+y^2-4x-8y-5=0\) equally inclined to axes is \(x+by+c=0\), \(b0\). Find \(2b+c\).

When a current of \(3\text{ A}\) flows through a uniform copper wire of radius \(0.6\text{ mm}\), the average drift speed of the electrons is \(V\). If \(1.5\text{ A}\) current is flowing in another uniform copper wire of radius \(1.2\text{ mm}\), then the average drift speed of the electrons is:

If \[ (\sin\theta+\cos\theta)^4+(\sin\theta-\cos\theta)^4 = p - q(\sin^4\theta+\cos^4\theta), \] then \(p+q=\)

For an LCR series circuit at resonance, the incorrect statement is

Number of solutions of the equation \[ \sin\theta+\sin3\theta+\sin5\theta=0 \] in \([-\pi,\pi]\) is

One second after projection, the horizontal and vertical velocities of a projectile are found to be equal and after one more second, the motion of the projectile is along the horizontal. The horizontal range of the projectile is \[ (g=10~\text{m s}^{-2}) \]

The fundamental force responsible for the stability of the nuclei is

If sides of a triangle are \(6\) and \(3+3\sqrt3\) with included angle \(60^\circ\), then circumradius is

If sum of reciprocals of intercepts of a line equals A.M. of \(\frac{2}{3}\) and \(\frac{4}{5}\), then point of concurrence is

If \[ A=\operatorname{Adj}\!\left(-2\left(\operatorname{Adj}(P^{-1})\right)\right) \] and \[ P= \begin{bmatrix} 1& 2& 1 1& 0& 1 0& 1& 2 \end{bmatrix}, \] then \(|A|=\)

The effective resistance between the points A and B of the circuit shown in the figure is:

Which of the following is not a periodic property?

If a source of sound initially at rest is moving away from a stationery observer with an acceleration of $11~ms^{-2}$, then the time taken for the frequency of sound heard by the observer to become 10% less than the frequency of source is (Speed of sound in air $=330~ms^{-1}$)}

The radius of gyration of a solid sphere of mass M and radius R about its diameter is K. The radius of gyration of a uniform circular disc of mass 2M and radius $\frac{R}{2}$ about its diameter is}

The energy required to transfer a satellite of mass \(m\) from an orbit of height \(0.5R\) from the surface of the earth to an orbit of height \(2R\) from the surface of the earth is (where \(g\) is acceleration due to gravity and \(R\) is radius of earth)

The velocity of the photoelectron (\(in~ms^{-1}\)) emitted when a smooth surface of a metal is made to strike with a photon of wavelength \(4\times10^{-7}m\) (\(W_{0}\) of metal \(=2.13~eV\); \(1eV=1.6\times10^{-19}J\); \(h=6.6\times10^{-34}Js\); \(m_{e}=9.1\times10^{-31}kg\))