List of top Questions asked in TS EAMCET- 2025

In a potentiometer experiment, a wire of length 10 m and resistance $5\,\Omega$ is connected to a cell of emf 2.2 V. If the potential difference between two points separated by a distance of 660 cm on potentiometer wire is 1.1 V, then the internal resistance of the cell is

When the right gap of a meter bridge consists of two equal resistors in series, the balancing point is at 50 cm. When one of the resistors in the right gap is removed and is connected in parallel to the resistor in the left gap, the balancing point is at

For an aperture of $5 \times 10^{-3}\,\mathrm{m}$ and a monochromatic light of wavelength $\lambda$, the distance for which ray optics becomes a good approximation is $50\,\mathrm{m}$, then $\lambda =$

A gas is suddenly compressed such that its absolute temperature is doubled. If the ratio of the specific heat capacities of the gas is 1.5, then the percentage decrease in the volume of the gas is

If the heat required to increase the rms speed of 4 moles of a diatomic gas from $v$ to $\sqrt{3}v$ is $83.1\,\mathrm{kJ}$, then the initial temperature of the gas is (Universal gas constant $= 8.31\,\mathrm{J\,mol^{-1}\,K^{-1}}$)

If the lengths of the open and closed pipes are in the ratio of $2:3$, then the ratio of the frequencies of the third harmonic of the open pipe and the fifth harmonic of the closed pipe is

A compound microscope has an objective of focal length $1.25\,\mathrm{cm}$ and an eyepiece of focal length $5\,\mathrm{cm}$ separated by a distance of $7.5\,\mathrm{cm}$. The total magnification produced by the microscope when the final image forms at infinity is

The property of light that explains the formation of coloured images due to thick lenses is

The ratio of the time periods of a simple pendulum at heights $2R_E$ and $3R_E$ from the surface of the earth is ($R_E$ is radius of the earth)

Two wires A and B made of same material and areas of cross-section in the ratio $1:2$ are stretched by same force. If the masses of the wires A and B are in the ratio $2:3$, then the ratio of the elongations of the wires A and B is

Water is filled in a tank up to a height of 20 cm from the bottom of the tank. Water flows through a hole of area $1\text{ mm}^2$ at its bottom. The mass of the water coming out from the hole in a time of 0.6 s is
(Density of water $= 1000\text{ kg m}^{-3}$ and acceleration due to gravity $= 10\text{ ms}^{-2}$)

For which of the following Reynold's number, a flow is streamlined?

If the system of blocks shown in the figure is released from rest, the ratio of the tensions $T_1$ and $T_2$ is (Neglect the mass of the string shown in the figure)

If the component of the vector $\vec{A}$ along the vector $\vec{B}$ is twice the component of $\vec{B}$ along $\vec{A}$, then the ratio of magnitudes of vectors $\vec{A}$ and $\vec{B}$ is

A body projected vertically up with an initial speed of $10\text{ ms}^{-1}$ reaches the point of projection after sometime with a speed of $8\text{ ms}^{-1}$. The maximum height reached by the body is (Acceleration due to gravity $= 10\text{ ms}^{-2}$)

Due to global warming, if the ice in the polar region melts and some of this water flows to the equatorial region, then

If L and C are inductance and capacitance respectively, then the dimensional formula of $(LC)^{-\frac{1}{2}}$ is

Bose-Einstein statistics is applicable to particles with

Two bodies are projected from the same point with the same initial velocity 'u' making angles '$\theta$' and ($90^\circ-\theta$) with the horizontal in opposite directions. The horizontal distance between their positions when the bodies are at their maximum heights is

The area of the region bounded by the curves \(y=x^3\), \(y=x^2\) and the lines \(x=0\) and \(x=2\) is

\(\int \frac{x^3}{x^4 + 3x^2 + 2} dx =\)

Let m, n, p, q be four positive integers. If \(\int_0^{2\pi} \sin^m x \cos^n x dx = 4 \int_0^{\pi/2} \sin^m x \cos^n x dx\), \(\int_0^{2\pi} \sin^p x \cos^q x dx = 0\), \(a = m+n+p\) and \(b = m+n+q\), then

If \(I_n = \int \frac{1}{(x^2+1)^n} dx\), then \(2n I_{n+1} - (2n-1) I_n =\)

If \(\int \frac{dx}{(x^2+9)\sqrt{x^2+16}} = \frac{1}{3\sqrt{7}} \tan^{-1} \left( K \frac{x}{\sqrt{16+x^2}} \right) + c\), then \(K =\)

\(\lim_{n \to \infty} \frac{1}{n^2} \left[ e^{1/n} + 2e^{2/n} + 3e^{3/n} + \dots + 2n e^{2n/n} \right] =\)