List of top Questions asked in AP EAPCET

A Carnot engine operates between a source and sink. The efficiency of the engine is 40\% and the sink temperature is \( 27^\circ \text{C} \). If the efficiency is to be increased to 50\%, then by how much should the source temperature be increased?
A ray is incident from a medium of refractive index 2 to another with refractive index 1. The critical angle is:
The number of vibrational degrees of freedom for a diatomic molecule is:
A body is suspended from a string of length 1 m and mass 2 g. The mass of the body required to produce a fundamental frequency of 100 Hz in the string is (Take \( g = 10 \, \text{ms}^{-2} \))
Electrostatic force between two identical charges placed at a distance \( r \) is \( F \). A slab of width \( \frac{r}{5} \) and dielectric constant 9 is inserted between them. Then, the new force between the charges is:
An electric dipole with dipole moment \( 5 \times 10^{-7} \, \text{Cm} \) is in an electric field of \( 2 \times 10^4 \, \text{NC}^{-1} \) at an angle of \( 60^\circ \) with the direction of the field. The torque acting on the dipole is:
An object undergoing SHM takes 0.5 s to travel from one point of zero velocity to the next such point. The angular frequency \( \omega \) is:
Same tension is applied to four wires made of the same material. The elongation is maximum in which wire?
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 up to a height 800 km from the earth’s surface, before it comes to rest. The value of the constant \( \alpha \) is:
(Take radius of the earth \( R = 6400\, \text{km} \))
A cone with half the density of water is floating in water as shown. It is depressed down by a small distance \( \delta \ll H \) and released. The frequency of SHM of the cone is:
A cone with half the density of water is floating in water
Consider the following statements:
(A) Whentemperature increases, the viscosity of gases increases and viscosity of liquids decreases.
(B) Water does not wet an oily glass because the cohesive force of oil is less than that of water.
(C) A liquid will wet a surface if the angle of contact is greater than 90◦.
Which of the following is true?
A sphere of surface area \( 4 \, \text{m}^2 \), temperature 400 K, emissivity 0.5 is in an environment of 200 K. The net rate of energy exchange is (take \( \sigma = 5.67 \times 10^{-8} \, \text{Wm}^{-2} \text{K}^{-4} \))
A hydrometer executes SHM when pushed into a liquid of density \( \rho \). If the mass of hydrometer is \( m \) and the radius of the tube is \( r \), then the time period of oscillation is:
A bead of mass 400 g is moving along a straight line under a force delivering constant power 1.2 W. If the bead is initially at rest, the speed attained after 6 seconds is (in \( \text{ms}^{-1} \))
A mass of 1 kg falls from a height of 1 m and lands on a massless platform supported by a spring with spring constant \( 15 \, \text{Nm}^{-1} \). The maximum compression of the spring is (take \( g = 10 \, \text{ms}^{-2} \))
A mass of 1 kg falls from a height of 1 m
Masses \( m \left(\frac{1}{3}\right)^N \) are placed at \( x = N \), for \( N = 2, 3, 4, \dots \). If the total mass is \( M \), then the center of mass of the system is:
Two rectangular blocks of masses 40 kg and 60 kg are connected by a string on a frictionless table. A force of 1000 N is applied on the 60 kg block away from the 40 kg block. Find the tension in the string.
A projectile with speed \( 50\, \text{ms}^{-1} \) is thrown at an angle of \( 60^\circ \) with the horizontal. The maximum height that can be reached is (take \( g = 10\, \text{ms}^{-2} \))
Consider a disc of radius \( R \) and mass \( M \). A hole of radius \( \frac{R}{3} \) is created in the disk such that the center of the hole is \( \frac{R}{3} \) away from the center of the disc. The moment of inertia of the remaining system about the axis perpendicular to the disc and passing through the original center is:
A ball of mass 0.5 kg moving horizontally at \( 10\, \text{ms}^{-1} \) strikes a vertical wall and rebounds with speed \( V \). The change in linear momentum is 8.0 kg·m/s. Find the magnitude of \( V \).
A car covers a distance at a speed of 60 km/h. It returns to the starting point at a speed of \( V \). If the average speed for the entire trip is 48 km/h, then what is the magnitude of \( V \)?
\( \lim_{n \to \infty} \left( \frac{1}{1 + n^5} + \frac{2^4}{2^5 + n^5} + \frac{3^4}{3^5 + n^5} + \ldots + \frac{n^4}{n^5 + n^5} \right) = \)
A car travels with a speed of 40 km/h. Rain drops fall vertically but the traces on the side window make an angle of \( 30^\circ \) with the vertical. Find the magnitude of rain’s velocity with respect to the car.
At any point \( (x, y) \) on a curve, if the length of the subnormal is \( (x - 1) \) and the curve passes through \( (1, 2) \), then the curve is a conic. A vertex of the curve is:
The function \( y = Ae^x + Be^{-2x} \) satisfies which of the following differential equations?