List of top Questions asked in AP EAPCET- 2022

A particle is moving along x-axis with velocity \( v = \frac{1}{1 + \beta t} \). At time \( t = 0 \), the particle is at \( x = 0 \). The displacement as a function of time is:
A ball follows the vertical displacement \( y = (Pt^2 - Qt^3) \), where \( y \) is in meters. Find the maximum height the ball can reach.
A projectile is launched from the ground, such that it hits a target on the ground which is 90 m away. The minimum velocity of the projectile to hit the target is (acceleration due to gravity $ g = 10\, \text{m/s}^2 $)
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 \( g = 10\, \text{ms}^{-2} \))
A metal loop of area \(10 \, \text{cm}^2\) is placed in a region such that its area vector points along \( \hat{k} \). The region contains a uniform magnetic field of magnitude \(1.73 \, \text{T}\) that points in the direction \( \hat{i} + \hat{j} + \hat{k} \). When the magnetic field is switched off, the field decreases to zero at a steady rate in 10 seconds. The magnitude of emf induced in the loop is:
A circular loop of wire of radius $ 14\, \text{cm} $ is placed in a magnetic field directed perpendicular to the plane of the loop. If the field decreases steadily at a rate of $ 0.05\, \text{T/s} $, what is the magnitude of the induced emf in the loop?
A box of mass 2 kg is placed on a inclined plane that makes 30\(^\circ\) with the horizontal. The coefficient of friction between the box and inclined plane is 0.2. A force F is applied on the box perpendicular to the incline to prevent the box from sliding down. The minimum value of F is (acceleration due to gravity = 10 m s\(^{-2}\))
box of mass 2 kg is placed on a inclined plane that makes 30◦
A uniform rod of length 60 cm is placed with one end in contact with the horizontal table and is then inclined at an angle 30\(^\circ\) to the horizontal and allowed to fall. The angular velocity of the rod when it becomes horizontal is (acceleration due to gravity = 10 ms\(^{-2}\))
Two wooden blocks of mass M\(_1\) and M\(_2\) rest on a frictionless table. A bullet of mass m is fired at M\(_1\) with speed v which embedded in it and the two together finally collide with M\(_2\). Find the velocity of M\(_2\) after collision. [Ignore any energy loss and treat the problem to be one dimensional]
A wheel undergoes a constant acceleration starting form rest at t = 0. The angular velocity of the wheel is 3.14 \(\frac{\text{rad}}{\text{sec}}\) when t = 2 s. The accelerator is abruptly ceased at t = 20 s. The number of revolutions, wheel makes in the interval t = 0 to t = 40 s is
At the moment $t = 0$, a time dependent force $F = at$ (where $a$ is constant equal to 1 N s$^{-1}$) is applied on a body of mass 1 kg resting on a smooth horizontal plane as shown in the figure. If the direction of this force makes an angle $45^\circ$ with the horizontal, then the velocity of the body at the moment it leaves the plane is (acceleration due to gravity = 10 m s$^{-2}$)
mass 1 kg resting on a smooth horizontal plane
A sphere rolls down from the top of an inclined plane which makes an angle $30^\circ$ with the edge of a horizontal roof of a house. If the highest and lowest points of the inclined plane are 8.75 m and 3.75 m respectively from the ground then the horizontal distance from the lower edge of the roof at which the sphere hits the ground is (acceleration due to gravity = 10 m s$^{-2}$)
An object of mass 20 kg. is displayed by \(x = 5t^2\) m (here t is time) by the application of a force. Then the ratio of the work done in times 3 s and 5 s is
An object of mass 3 kg is tied by a string of negligible mass to a ceiling and held such that the string is taut. The object is released suddenly such that the string remains taut. It’s acceleration when released is (acceleration due to gravity = 10 m s$^{-2}$)
An object of mass 3 kg is tied by a string of negligible mass
Light of wavelength 1 nm belongs to the following class of waves
A plane electromagnetic wave of frequency \(50 \, \text{MHz}\) travels in free space. If the average energy densities in the electric and magnetic fields are \(K_E\) and \(K_B\), then:
A coil (100 turns, radius 3 cm, resistance 4 \(\Omega\)) is co-axial with solenoid (200 turns/cm, diameter 4 cm). Solenoid current drops from 2 A to 0 in 0.04 s. Find induced current.
Light of intensity 12 W/m\(^2\) is incident on 4 cm\(^2\) black surface. Find radiation pressure.
The minimum size of an antenna for transmitting electromagnetic waves at 1500 MHz is
If the average power per unit area delivered by an electromagnetic wave is \( 9240 \, \text{Wm}^{-2} \), what is the amplitude of the magnetic field in the wave?
A beam of light with intensity \( 10^5 \, \text{Nm}^{-2} \) and cross-sectional area \( 20 \, \text{cm}^2 \) is incident on a fully reflective surface at an angle of \( 45^\circ \). Find the force exerted by the beam on the surface.
Given: \( E = E_0 \sin(kx - \omega t),\ B = B_0 \sin(kx - \omega t) \). Choose correct relation.
The magnetic field in a plane electromagnetic wave is given by: $$ \vec{B} = (3 \times 10^{-7}) \sin(3 \times 10^4 x + 9 \times 10^{12} t) \hat{j} $$ What is the corresponding electric field $ \vec{E} $ of the wave?
A bulb of power 660 W radiates uniformly in all directions. The pressure exerted by the radiation on the surface at a distance of 5 m is
An electromagnetic wave travels along the z-axis. At a certain point in space, the electric field is \( 8.7 \, \text{Vm}^{-1} \) along the x-axis. What is the magnitude of the magnetic field along the y-axis?