List of top Questions asked in AP EAPCET- 2022

Three charges 1 C, 2 C and 3 C are placed at points (1, 0, 0), (0, 2, 0) and (0, 0, 3) respectively. The distances are measured in metre along the three axes. The magnitude of the electric field at the origin is:

In Young’s double slit experiment, the ratio of intensities of dark and bright fringes is 16:36. The ratio of amplitudes of the two light waves 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 (β is a constant).

The work done in assembling three charged particles A, B and C of charges \(2 \times 10^{-5} C\), \(3 \times 10^{-5} C\) and \(4 \times 10^{-5} C\) respectively at the vertices of an equilateral triangle of side 10 cm is \([ \frac{1}{4\pi\varepsilon_0} = 9 \times 10^9 ]\).

A Carnot engine is working between a source at constant temperature \(T_1\) and a sink at temperature \(T_2\). Its efficiency is \(\frac{1}{8}\). Upon decreasing the temperature of the sink by 50°C, the efficiency becomes \(\frac{1}{4}\). Find \(T_1\) and \(T_2\).

A Carnot engine operating between 430 K and 330 K does a work of 60 kJ. The amount of ice that can melt from its exhaust is (Latent heat of fusion of ice = 330 J g\(^{-1}\)).

If the volume of a gas is reduced to half then the change in its mean free path is

A steel rod of length 5 m and radius 2 cm is kept at room temperature and heated to 10°C above room temperature. The change in the cross-sectional area of the rod is (coefficient of linear expansion = \(10 \times 10^{-6} \, ^\circ\text{C}^{-1}\)).

The equation for a wave travelling in x-direction along a string is \( y = (7\,\text{cm}) \sin[(\pi\, \text{cm}^{-1})x - (100\, \text{s}^{-1})t] \). The maximum velocity of a particle of the string is:

A mass is attached to a vertically suspended spring and released. If it falls through 100 cm and comes back to initial position executing simple harmonic motion, then its time period is (Take \(g = 10 \, \text{m/s}^2\)).

A metal cube has edge length 0.1 m. The bulk modulus of the metal is \(1.4 \times 10^{11} \, \text{N/m}^2\). When subjected to hydraulic pressure, the volume contraction of the cube is \(5 \times 10^{-2} \, \text{cm}^3\). The applied pressure is

Principles of molecular interactions and thermal energy can be used to explain: \[ (I)\ \text{Vapour Pressure} \quad (II)\ \text{Surface Tension} \quad (III)\ \text{Viscosity} \]

A satellite is revolving in a circular orbit around the earth with a speed of 8.4 km s\(^{-1}\) at a height where the acceleration due to gravity is 8.4 m s\(^{-2}\). The height of the satellite from the Earth's surface is (Radius of Earth = 6400 km)

A music system playing loud music is kept on a table. If a glass of water is kept on the same table, the glass vibrates and generates ripples in the water. This is due to a property known as

An object hangs from a spring balance. The balance shows 40 N when the object is in air, 30 N when the object is immersed in water, and 34 N when the object is immersed in another liquid. If the density of water is 1000 kg m\(^{-3}\), then the density of the liquid is

A car of mass 1800 kg travelling north at 30 km h\(^{-1}\) turns east and accelerates to 40 km h\(^{-1}\). The magnitude of the change in its momentum is in kg m s\(^{-1}\).

A hot air balloon is descending with a constant acceleration of \(2 \, \text{m/s}^2\). The mass of the balloon and its contents is 600 kg. Assuming the volume of the balloon is kept constant so that the buoyant force remains the same, the mass of the balloon should be changed so that it starts ascending with the same acceleration. (Take \(g = 10 \, \text{m/s}^2\)).

Point masses 2 kg, 3 kg, 4 kg and 5 kg are lying at the points (-1,-1,0), (3,0,0), (0,0,1) and (0,4,0) respectively. The moment of inertia of this system about y-axis will be in kg m\(^{2}\).

A solid circular disc of mass 100 kg rolls along a horizontal floor so that center of mass has a speed of 0.2 m s\(^{-1}\). The absolute value of work done on the disc to stop it is.

A ball of mass 1 kg is thrown from the top of a tower at \(t = 0\) with an initial velocity \(\vec{v} = [10\hat{i} + 20\hat{j}] \, \text{m/s}\). The change in potential energy of the ball between \(t = 0\) and \(t = 5 \, \text{s}\), while it is freely falling, is (Take \(g = 10 \, \text{m/s}^2\)).

A constant horizontal force of 100 N is exerted on a 50 kg box initially at rest. When the box has moved a distance of 2 m, its speed is 2 m/s. The coefficient of kinetic friction between box and floor is (g = 10 m/s²)

Two buses of length 60 ft and 40 ft are moving parallel towards each other at speeds 15 ft/s and 10 ft/s respectively. Time taken to pass each other is:

The velocity of a particle is only a function of its position \(v(x) = e^{-x\). If at \(t=0\), \(x=0\), find displacement as a function of time.}

Identify the major product from the following reaction sequence:

A ball is thrown horizontally at 20 m/s from a height of 20 m. Find its speed when it hits the ground (g = 10 m/s²).