AP EAPCET 2024 - 20th May Evening Shift

An inductor and a resistor are connected in series to an AC source of voltage $144 \sin \left(100 \pi t+\frac{\pi}{2}\right) \mathrm{V}$. If the current in the circuit is $6 \sin \left(100 \pi t+\frac{\pi}{6}\right) \mathrm{A}$, then the re...

Inner shell electrons in atoms moving from one energy level to another lower energy level produce

The speed of the electron in a hydrogen atom in the $n=3$ level is(Planck's constant $=6.6 \times 10^{-34} \mathrm{Js}$ )

One mole of radium has an activity of $\frac{1}{3.7}$ kilo curie. Its decay constant is(Avagadro number $=6 \times 10^{23} \mathrm{~mol}^{-1}$ )

Three parallel plate capacitors of capacitances $4 \mu \mathrm{~F}$, $6 \mu \mathrm{~F}$ and $12 \mu \mathrm{~F}$ are first connected in series and then in parallel. The ratio of the effective capacitances in the two cases is

A particle revolving in a circular path travels the first half of the circumference in 4 s and the next half in 2 s . What is its average angular velocity?

A small disc is on the top of a smooth hemisphere of radius $R$. The smallest horizontal velocity $v$ that should be imparted to the disc, so that disc leaves the hemisphere surface without sliding down is ( there is no friction )

In amplitude modulation, the amplitude of the carrier wave is 10 V and the amplitude of one of the side bands is 2 V . Then, the modulation index is

A straight wire of resistance $R$ is bent in the shape of $f_d$ square. A cell of emf 12 V is connected between two adjacent corners of the square. The potential difference across any diagonal of the square is

In the given circuit, if the potential at point $B$ is 24 V , the potential at point $A$ is

If the kinetic energy of a particle in motion is decreased by $36 \%$, the increase in de-Broglie wavelength of the particle is

The ratio of the number of turns per unit length of two solenoids $A$ and $B$ are 1:3 and the lengths of $A$ and $B$ are in the ratio $1: 2$. If the two solenoids have same cross-sectional area, the ratio of the self-inductances of the sole...

A particle of mass 2 g and charge $6 \mu \mathrm{C}$ is accelerated from rest through a potential difference of 60 V . The speed acquired by the particle is

Three point charges $+q,+2 q$ and $+4 q$ are placed along a straight line such that the charge $+2 q$ lies at equidistant from the other two charges. The ratio of the net electrostatic force on charges $+q$ and $+4 q$ is

Two mercury drops, each with same radius $r$ merged to form a bigger drop. $T$ is the surface tension of single drop, then the surface energy of bigger drop is given by

Depth of a river is 100 m magnitude of compressibility of the water is $05 \times 10^{-9} \mathrm{~N}^{-1} \mathrm{~m}^2$. The fractional compression in water at the bottom of the river is (acceleration due to gravity $=10 \mathrm{~m} / \ma...

What is the height from the surface of earth, where acceleration due to gravity will be $1 / 4$ of that of the earth? $\left(R_E=6400 \mathrm{~km}\right)$

An ideal gas is kept in a cylinder of volume $3 \mathrm{~m}^3$ at a pressure of $3 \times 10^5 \mathrm{~Pa}$. The energy of the gas is

A certain volume of a gas at 300 K expands adiabatically until its volume is doubled. The resultant fall in temperature of the gas is nearly (The ratio of the specific heats of the gas $=1.5$ )

The efficiency of a Carnot's engine is $25 \%$. When the temperature of sink is 300 K . The increase in the temperature of source required for the efficiency to become $50 \%$ is

The absorption coefficient value of a perfect black body is

When 100 J of heat is supplied to a gas, the increase in the internal energy of the gas is 60 J . Then the gas is /can

Two objects having masses $1: 4$ ratio are at rest. When both of them are subjected to same force separately, they achieved same kinetic energy during times $t_1$ and $t_2$ respectively. Then, ratio of $\frac{t_2}{t_1}$ is

A block of metal 2 kg is in rest on a smooth plane. It is striked by a jet releasing water of $1 \mathrm{~kg} \mathrm{~s}^{-1}$ at a speed of $5 \mathrm{~m} / \mathrm{s}$, then the acceteration of the block is

An insect is crawling in a hemi-spherical bowl of radius $R$. If the coefficient of friction between the insect and bowl is $\mu$, then the maximum height to which the insect can crawl the bowl is

At a place where the magnitude of the earth's magnetic field is $4 \times 10^{-5} \mathrm{~T}$, a short bar magnet is placed with its axis perpendicular to the earth's magnetic field direction. If the resultant magnetic field at a point at ...

An object of mas $m$ is projected with an initial velocity $u$ with angle of $\theta$ with the horizontal. The average power delivered by gravity in reaching the highest point

If two stones are projected at angle $\theta$ and $\left(90^{\circ}-\theta\right)$ respectively with horizontal with a speed of $20 \mathrm{~ms}^{-1}$. If second stone rises 10 m higher than the first stone then, the angle of projection $\t...

The relation between time $t$ and displacement $x$ is $t=\alpha x^2+\beta x$, where $\alpha$ and $\beta$ are constants. If $v$ is the velocity, the retardation is

Two concentric thin circular rings of radii 50 cm and 40 cm , each carry a current of 3.5 A in opposite directions. If the two rings are coplanar, the net magnetic field due to the rings at their centre is

Two long straight parallel conductors $A$ and $B$ carrying currents 4.5 A and 8 A respectively, are separated by 25 cm in air. The resultant magnetic field at a point which is at a distance of 15 cm from conductor $A$ and 20 cm from conduct...

An object is placed at a distance of 18 cm in front of a mirror. If the image is formed at a distance of 4 cm on the other side, then focal length, nature of the mirror and nature of image are respectively

A block $P$ is rotating in contact with the vertical wall of a rotor as shown in figures $A, B, C$. The relation between angular velocities $\omega_A, \omega_B$ and $\omega_C$, so that block does not slide down. ( $R_A < R_b < R_c $ radii)

If the energy gap of a substance is 5.4 eV , then the substance is

The voltage gain and current gain of a transistor amplifier in common emitter configuration are respectively 150 and 50 . If the resistance in the base circuit is $850 \Omega$, then the resistance in collector circuit is

A test tube of mass 6 g and uniform area of cross-section $10 \mathrm{~cm}^2$ is floating in water vertically when 10 g of mercury is in the bottom. The tube is depressed by a small amount and then released. The time period of oscillation i...

A horizontal board is performing simple harmonic oscillations horizontally with an amplitude 0.3 m and a period of 4 s . The minimum coefficient of friction between a heavy body placed on the board if the body does not slip will be

Find the dimension formula of $\frac{a}{b}$ in the equation $F=a \sqrt{x}+b t^2$, where $F$ is force, $x$ is distance and $t$ is time.

If a microscope is placed in air, the minimum separation of two objects seen as distinct is $6 \mu \mathrm{~m}$. If the same is placed in a medium of refractive index 1.5, then the minimum separation of the two objects to see as distinct is

A pipe with 30 cm length is open at both ends. Which harmonic mode of the pipe resonates with the 1.65 kHz source? (Velocity of sound in air $=330 \mathrm{~ms}^{-1}$ )