List of top Questions asked in AP EAMCET

If the average power per unit area delivered by an electromagnetic wave is
\[ 9240\ \text{W m}^{-2} \] then the amplitude of the oscillating magnetic field in the EM wave is

A capacitor of capacitance \(C_1=1\,\mu\text{F}\) is charged using a \(9\text{ V}\) battery. \(C_1\) is then removed from the battery and connected to capacitors \(C_2\) and \(C_3\) of \(2\,\mu\text{F}\) and \(3\,\mu\text{F}\) respectively as shown in the figure. Find the charge on \(C_3\) after equilibrium has reached.

A cell can supply currents of \(1\ \text{A}\) and \(0.5\ \text{A}\) via resistances of \(2.5\ \Omega\) and \(10\ \Omega\) respectively. The internal resistance of the cell is

An electric dipole with dipole moment \(5\times10^{-7}\ \text{C m}\) is in the electric field of
\[ 2\times10^4\ \text{N C}^{-1} \] at an angle of \(60^\circ\) with the direction of the electric field. The torque acting on the dipole is

Current density in a cylindrical wire of radius \(R\) varies with radial distance as \(\beta(r+r_0)^2\). The current through the section of the wire shown in the figure is

Two positive point charges of \(10 \, \mu C\) and \(12 \, \mu C\) are placed \(10 \, cm\) apart in air. The work done to bring them \(6 \, cm\) closer is

A ray is incident from a medium of refractive index \(2\) into a medium of refractive index \(1\). The critical angle is

Electrostatic force between two identical charges placed in vacuum at distance \(r\) is \(F\). A slab of width \(\dfrac{r}{5}\) and dielectric constant \(9\) is inserted between these two charges, then the force between the charges is

The number of vibrational degree of freedom of a diatomic molecule is

A sphere of surface area \(4\ \text{m}^2\) at temperature \(400\ \text{K}\) and having emissivity \(0.5\) is located in an environment of temperature \(200\ \text{K}\). The net rate of energy exchange of the sphere is
\[ \text{Stefan Boltzmann constant } \sigma=5.67\times10^{-8}\ \text{W m}^{-2}\text{K}^{-4} \]

A Carnot engine operates between a source and a sink. The efficiency of the engine is \(40\%\) and the temperature of the sink is \(27^\circ\text{C}\). If the efficiency is to be increased to \(50\%\), then the temperature of the source must be increased by

A car engine has a power of \(20 \, kW\). The car makes a roundtrip of \(1\) hour. If the thermal efficiency of the engine is \(40\%\) and the ambient temperature is \(300 \, K\), the energy generated by fuel combustion is

A body is suspended from a string of length \(1\ \text{m}\) and mass \(2\ \text{g}\). The mass of the body to produce a fundamental mode of \(100\ \text{Hz}\) frequency in the string is
\[ \text{Acceleration due to gravity}=10\ \text{m s}^{-2} \]

Statement (A): When the temperature increases the viscosity of gases increases and the viscosity of liquids decreases.
Statement (B): Water does not wet an oily glass because cohesive force of oil is less than that of water.
Statement (C): A liquid will wet a surface of a solid if the angle of contact is greater than \(90^\circ\).
Choose the correct option.

A hydrometer executes simple harmonic motion when it is pushed down vertically in a liquid of density \(\rho\). If the mass of hydrometer is \(m\) and the radius of the hydrometer tube is \(r\), then the time period of oscillation is

An object undergoing simple harmonic motion takes \(0.5 \, s\) to travel from one point of zero velocity to the next such point. The angular frequency of the motion is

A cone with half the density of water is floating in water as shown in figure. It is depressed down by a small distance \(\delta \, (\delta \ll H)\) and released. The frequency of simple harmonic oscillations of the cone is

A projectile is thrown straight upward from the earth's surface with an initial speed \(V=\alpha V_E\), where \(\alpha\) is a constant and \(V_E\) is the escape speed. The projectile travels upto a height \(800 \, km\) from earth's surface before it comes to rest. The value of the constant \(\alpha\) is
\[ (\text{Radius of the earth} = 6400 \, km) \]

Same tension is applied to the following four wires made of the same material. The elongation is longest in

A mass of \(1 \, kg\) falls from a height of \(1 \, m\) and lands on a massless platform supported by a spring having spring constant \(15 \, Nm^{-1}\) as shown in the figure. The maximum compression of the spring is

\[ (\text{acceleration due to gravity} = 10 \, m/s^2) \]

A bead of mass \(400\ \text{g}\) is moving along a straight line under a force that delivers a constant power \(1.2\ \text{W}\) to the bead. If the bead is initially at rest, the speed it attains after \(6\ \text{s}\) in \(\text{m s}^{-1}\) is

A ball of mass \(0.5\ \text{kg}\) moving horizontally at \(10\ \text{m s}^{-1}\) strikes a vertical wall and rebounds with speed \(V\). The magnitude of the change in linear momentum is found to be \(8.0\ \text{kg m s}^{-1}\). The magnitude of \(V\) is

Two rectangular blocks of masses \(40 \, kg\) and \(60 \, kg\) are connected by a string and kept on a frictionless horizontal table. If a force of \(1000 \, N\) is applied on the \(60 \, kg\) block away from the \(40 \, kg\) block, then the tension in the string is

Consider a disc of radius \(R\) and mass \(M\). A hole of radius \(\dfrac{R}{3}\) is created in the disk such that the centre of the hole is \(\dfrac{R}{3}\) away from the centre of the disk. The moment of inertia of the system along the axis perpendicular to the disc passing through the centre of the disc is

Masses \(m\left(\dfrac{1}{3}\right)^N \dfrac{1}{N}\) are placed at \(x=N\), when \(N=2,3,4,\ldots,\infty\). If the total mass of the system is \(M\), then the centre of mass is