List of top Questions asked in AP EAPCET- 2022

A 8 $\Omega$ resistor is connected to a battery that has an internal resistance of 0.2 $\Omega$. If the voltage across the battery (the terminal voltage) is 10 V, then the emf of the battery is

An observer at rest experiences an electric field due to a static charge. Later he starts moving away from it then the observer experiences.

Assertion (A): When a circular coil, placed in a region with its plane parallel to a magnetic field, expands radially outwards, no emf is induced in it. Reason (R): There is a constant magnet field in the perpendicular (to the plane of the coil) direction.

A vessel contains 3 moles of He, 1 mole of Ar, 5 moles of N$_2$ and 3 moles of H$_2$. If the vibrational modes are ignored, the total internal energy of the system of gases is

A monochromatic light of wavelength 6000 \AA \ coming from a star is detected in a 100 inch telescope. The limit of resolution of the telescope is approximately

25 capacitors each of capacitance 1 $\mu$F are connected in series to a battery of 100 V. The total charge stored on capacitors is

One end of the steel rod is clamped to the roof and the other end is attached to a mass of 1000 kg as shown in the figure. The length of the rod is 50 cm and its cross-sectional area is 1000 mm$^2$. The change in the length of the rod due to the weight of the mass is \underline{\hspace{2cm}} .

A circular film of a liquid has an area of 10 cm$^2$. If the work done in making its radius two times the initial radius is $8 \times 10^{-3$ J, the surface tension of the liquid is $\left(1+\frac{1}{a}\right)$ Nm$^{-1}$. The value of $a$ is}

A cylindrical tank having large diameter is filled with water to a height H. A hole of cross-sectional area 5 cm$^2$ in the tank allows water to drain out. If the water drains out at the rate of $2 \times 10^{-3$ m$^3$s$^{-1}$, then the value of H is} (acceleration due to gravity = $10$ ms$^{-2}$)

A monatomic gas ($\gamma = \frac{5}{3}$) at a pressure of 4 atm is compressed adiabatically so that its temperature rises from 27 $^\circ$C to 327 $^\circ$C. The pressure of the gas in its final state is

A gas at 37 $^\circ$C is compressed adiabatically to half of its volume, then the final temperature of the gas is (Ratio of specific heat capacities of the gas is 1.5)

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]

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

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\(^{-2}\))

Assertion (A): In S.H.M kinetic and potential energy become equal when the distance is $\frac{1}{\sqrt{2}}$ times its amplitude. Reason (R): The potential energy of a particle executing S.H.M is periodic with time period being maximum at the extreme displacement.

If the general solution of \( \frac{dy}{dx} = \frac{-y^2}{xy-y^2-x^2} \) is \( \tan^{-1}\left(\frac{x}{y}\right) = f(y) + C \), then \( f(e^3) = \)

A car is moving along a straight line is brought to a stop within a distance of 200 m and in time 10 s. The initial speed of the car is

A ball is thrown upward from the top of a building at an angle of 30\(^\circ\) to the horizontal and with an initial speed of 20 m s\(^{-1}\). If the ball strikes the ground after 3 s, then the height of the building is (acceleration due to gravity = 10 ms\(^{-2}\))

A particle is moving on a circular path with a constant speed v. It's change of velocity as it moves from A to B in the figure is

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\(^{-2}\))

Which of the following is true about the coefficient of static friction (\(\mu_s\)) and the coefficient of kinetic friction (\(\mu_k\))

\( \int_{-\pi/4}^{\pi/4} \cos^8 x \ dx = \)

If \( f(x) = \sin(\tan^{-1} x) \), then \( \int_0^1 xf''(x)dx = \)

If an open cylinder of given surface area has maximum volume then its radius is

If \(x+y=k, x>0, y>0\) then \(x^2+y^2\) is minimum if