List of top Questions asked in TS EAMCET

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:

Water flows through a horizontal pipe of variable cross-section at the rate of 12\(\pi\) litres per minute. The velocity of the water at the point where the diameter of the pipe becomes 2 cm 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:

The diameter of the objective of a telescope is 3.6 m. The limit of resolution of the telescope for a light of wavelength 540 nm 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:

The thickness of a uniform rectangular metal plate is 5 mm and the area of each surface is 3750 cm\(^2\). In steady state, the temperature difference between the two surfaces of the plate is 14Â°C. If the heat flowing through the plate in one second from one surface to the other surface is 42 J, then the thermal conductivity of the metal is:

The ratio of the specific heat capacities of a gas is 1.5. When the gas undergoes an adiabatic process, its volume is doubled and pressure becomes \( P_1 \). When the gas undergoes isothermal process, its volume is doubled and pressure becomes \( P_2 \). If \( P_1 = P_2 \), the ratio of the initial pressures of the gas when it undergoes adiabatic and isothermal processes is:

Match the following:

The standard enthalpy of combustion of C (graphite), H\(_2\) (g) and CH\(_3\)OH (l) respectively are \(-393\), \(-286\) and \(-726\) kJ mol\(^{-1}\). What is the standard enthalpy of formation of methanol?

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,

A 10 ÂµF capacitor is charged by a 100 V battery. It is disconnected from the battery and is connected to another uncharged capacitor of capacitance 30 ÂµF. During this process, the electrostatic energy lost by the first capacitor is.

A straight wire of length 20 cm carrying a current of \(\frac{3}{\pi ^2} \, \text{A} \) is bent in the form of a circle. The magnetic field at the centre of the circle is.

A circular coil of area 200 cm\(^2\) and 50 turns is rotating about its vertical diameter with an angular speed of 40 rad/s in a uniform horizontal magnetic field of magnitude \(2 \times 10^{-2} \, \text{T}\). The maximum emf induced in the coil 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 A is a square matrix of order 3, then |Adj(Adj A²)| =

If (h,k) is the image of the point (3,4) with respect to the line 2x - 3y -5 = 0 and (l,m) is the foot of the perpendicular from (h,k) on the line 3x + 2y + 12 = 0, then lh + mk + 1 = 2x - 3y - 5 = 0.

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

The Wheatstone bridge shown in the diagram is balanced. If P3 is the power dissipated by R3 and P1 is the power dissipated by R1, then the ratio P3/P1 is:

The velocity of a particle having a magnitude of 10 ms^-1 in the direction of 60° with positive X-axis is

A ball falls freely from a height h on a rigid horizontal plane. If the coefficient of resolution is e, then the total distance travelled by the ball before hitting the plane second time is:

If the roots of the equation z² - i = 0 are α and β, then | Arg β - Arg α | =

The period of function f(x) = \(e^{log(sinx)}+(tanx)^3 - cosec(3x - 5)\)is