List of top Questions asked in TS EAMCET- 2024

Two long straight parallel wires A and B separated by \( 5 \) m carry currents \( 2 \) A and \( 6 \) A respectively in the same direction. The resultant magnetic field due to the two wires at a point \( 2 \) m distance from the wire A in between the two wires is?
If the normal drawn at the point \( P(9, 9) \) on the parabola \( y^2 = 9x \) meets the parabola again at \( Q(a, b) \), then \( 2a + b = \text{?} \)
At 400 K, an ideal gas is enclosed in a 0.5 m\(^3\) vessel at a pressure of 203 kPa. What is the change in temperature required (in K), if it occupies a volume of 0.2 m\(^3\) under a pressure of 304 kPa? (Nearest integer)
If two linear antennas having lengths in the ratio 2:3 are emitting radiations of wavelengths in the ratio 8:9, then the ratio of effective powers radiated by them are in the ratio:
The work done in increasing the diameter of a soap bubble from 2 cm to 4 cm is (Surface tension of soap solution \(=3.5\times10^{-2}Nm^{-1}\))
If the total energy of the electron in the ground state of hydrogen atom is \(-13.6\) eV, then the potential and kinetic energies of an electron in this state respectively are:
If \(A + B + C = 2S\), then \[ \sin(S - A)\,\cos(S - B)\;-\;\sin(S - C)\,\cos S \;=\;? \]
The equation that is satisfied by the general solution of the equation \( 4 - 3 \cos \theta = 5 \sin \theta \cos \theta \) is:
If \( \sinh^{-1}(-\sqrt{3}) + \cosh^{-1}(2) = K \), then \( \cosh K = \):

The number of ways of arranging all the letters of the word "COMBINATIONS" around a circle so that no two vowels come together is 

The equation of the normal drawn to the curve \( y^3 = 4x^5 \) at the point \( (4,16) \) is:
The general solution of the differential equation $$ \frac{dy}{dx} = \frac{2y^2 + 1}{2y^3 - 4xy + y}. $$ 
A coil of 100 turns and 0.10 m\(^2\) area, making two rotations per second is placed in a 0.01 T uniform magnetic field perpendicular to its axis of rotation. The maximum voltage generated in the coil is:
One of the values of \( (-64i)^{5/6} \) is:}

$$ \begin{vmatrix} x-2 & 3x-3 & 5x-5 \\ x-4 & 3x-9 & 5x-25 \\ x-8 & 3x-27 & 5x-125 \end{vmatrix} = 0 $$

If \( m_1 \) and \( m_2 \) are the slopes of the direct common tangents drawn to the circles \[ x^2 + y^2 - 2x - 8y + 8 = 0 \quad \text{and} \quad x^2 + y^2 - 8x + 15 = 0 \] then \( m_1 + m_2 \) is:
A block is kept on a rough horizontal surface. The acceleration of the block increases from \( 6 \ ms^{-2} \) to \( 11 \ ms^{-2} \) when the horizontal force acting on it increases from \( 20 \ N \) to \( 30 \ N \). The coefficient of kinetic friction between the block and the surface is: (Acceleration due to gravitiy = 10ms-^2)

\[ \begin{array}{c|c} X = x & P(X = x) \\ \hline 1 & 3K^2 \\ 3 & K \\ 5 & K^2 \\ 2 & 2K \end{array} \]

The mean deviation about the mean for the following data is:
 


 

A proton and an \( \alpha \) particle are both accelerated from rest in a uniform electric field. The ratio of works done by the electric field on the proton and the \( \alpha \)-particle in a given time is?
Three capacitors of capacitances 10 \(\mu\)F, 5 \(\mu\)F and 20 \(\mu\)F are connected in series with a 14 V dc supply. The charge on 5 \(\mu\)F capacitor is

The electric flux due to an electric field \[ \vec{E} = (8\hat{i} + 13\hat{j}) \text{ NC}^{-1} \] through an area 3 m\(^2\) lying in the XZ plane is: 

Two closed pipes when sounded simultaneously in their fundamental modes produce 6 beats per second. If the length of the shorter pipe is 150 cm, then the length of the longer pipe is: \[ \text{(Speed of sound in air = 336 ms}^{-1}) \]

Evaluate the integral: \[ I = \int_{-\frac{\pi}{15}}^{\frac{\pi}{15}} \frac{\cos 5x}{1 + e^{5x}} \, dx \] 

A wire of cross-sectional area \( 10^{-6} \, m^2 \) is elongated by \( 0.1 \% \) when the tension in it is \( 1000 \, N \). The Young's modulus of the material of the wire is (Assume radius of the wire is constant)?