List of top Questions asked in AP EAMCET

The molar specific heat capacity of a diatomic gas at constant pressure is \( C \). The molar specific heat capacity of a monatomic gas at constant volume is
The focal length of a thin converging lens in air is 20 cm. When the lens is immersed in a liquid, it behaves like a concave lens of power 1 D. If the refractive index of the material of the lens is 1.5, the refractive index of the liquid is
The work done by an ideal gas of 2 moles in increasing its volume from \( V \) to \( 2V \) at constant temperature \( T \) is \( W \). The work done by an ideal gas of 4 moles in increasing its volume from \( V \) to \( 8V \) at constant temperature \( \frac{T}{2} \) is
Two copper wires A and B of lengths in the ratio \( 1:2 \) and diameters in the ratio \( 3:2 \) are stretched by forces in the ratio \( 3:1 \). The ratio of the elastic potential energies stored per unit volume in the wires A and B is
The length of a metal bar is 20 cm and the area of cross-section is \( 4 \times 10^{-4} \) m\(^2\). If one end of the rod is kept in ice at \( 0^\circ C \) and the other end is kept in steam at \( 100^\circ C \), the mass of ice melted in one minute is 5 g. The thermal conductivity of the metal in Wm\(^{-1}\)K\(^{-1}\) is (Latent heat of fusion = 80 cal/gm)
When 40 J of heat is absorbed by a monatomic gas, the increase in the internal energy of the gas is
In an inelastic collision, after collision the kinetic energy
Two masses \( m_1 \) and \( m_2 \) are connected by a light string passing over a smooth pulley. When set free, \( m_1 \) moves downwards by 3 m in 3 s. The ratio of \( \frac{m_1}{m_2} \) is \((g = 10 \text{ m/s}^2)\).
A spring of \( 5 \times 10^3 \) Nm\(^{-1} \) spring constant is stretched initially by 10 cm from the unstretched position. The work required to stretch it further by another 10 cm is
The moments of inertia of a solid cylinder and a hollow cylinder of the same mass and same radius about the axes of the cylinders are \( I_1 \) and \( I_2 \). The relation between \( I_1 \) and \( I_2 \) is
Time period of a simple pendulum in air is \( T \). If the pendulum is in water and executes SHM, its time period is \( t \). The value of \( \frac{T}{t} \) is [Density of bob is \( \frac{5000}{3} \) kg/m\(^3\)]
A wheel of angular speed 600 rev/min is made to slow down at a rate of \( 2 \) rad/s\(^2\). The number of revolutions made by the wheel before coming to rest is
A ball is projected at an angle of \( 45^\circ \) with the horizontal. It passes through a wall of height \( h \) at a horizontal distance \( d_1 \) from the point of projection and strikes the ground at a distance \( d_1 + d_2 \) from the point of projection, then \( h \) is:
Find the differential equation representing the family of circles having their centers on the Y-axis. Given that \( y_1 = \frac{dy}{dx} \) and \( y_2 = \frac{d^2y}{dx^2} \).
Find the general solution of the differential equation \( ( \sin y \cos^2 y - x \sec^2 y ) dy = (\tan y) dx \).
Find the general solution of the differential equation \( (x - y -1) dy = (x + y + 1) dx \).
Find the area enclosed by the curve \( y = x^3 - 19x + 30 \) and the X-axis.
Evaluate \( \int_{1}^{2} \frac{x^4 - 1}{x^6 - 1} dx \):
Evaluate \( \int_{ \log 4}^{ \log 5} \frac{e^{2x} + e^x}{e^{2x} - 5e^x +6} dx \):
Evaluate the integral: \[ \int \frac{1}{x^5 \sqrt{x^5+1}} dx. \]
Evaluate the integral: \[ I = \int \frac{\csc x}{3\cos x + 4\sin x} dx. \]
Evaluate the integral: \[ I = \int \frac{x+1}{\sqrt{x^2 + x + 1}} dx. \]
Evaluate the integral: \[ I = \int (\tan^7 x + \tan x) dx. \]
The length of the tangent drawn at the point \( P \left( \frac{\pi}{4} \right) \) on the curve \( x^{2/3} + y^{2/3} = 2^{2/3} \) is:
The set of all real values of \( a \) such that the function \( f(x) = x^3 + 2ax^2 + 3(a+1)x + 5 \) is strictly increasing in its entire domain is: