JEE Advanced 2020 Paper 2 Offline

In an X-ray tube, electrons emitted from a filament (cathode) carrying current I hit a target (anode) at a distance d from the cathode. The target is kept at a potential V higher than the cathode resulting in emission of continuous and char...

Two capacitors with capacitance values C1 = 2000 \(\pm\) 10 pF and C2 = 3000 \(\pm\) 15 pF are connected in series. The voltage applied across this combination is V = 5.00 \(\pm\) 0.02 V. The percentage error in the calculation of the...

In the balanced condition, the values of the resistances of the four arms of a Wheatstone bridge are shown in the figure below. The resistance R3 has temperature coefficient 0.0004\(^\circ\)C-1. If the temperature of R3 is increased by 100$...

The inductors of two LR circuits are placed next to each other, as shown in the figure. The values of the self-inductance of the inductors, resistors, mutual-inductance and applied voltages are specified in the given circuit. After both the...

Two identical non-conducting solid spheres of same mass and charge are suspended in air from a common point by two non-conducting, massless strings of same length. At equilibrium, the angle between the strings is \(\alpha\). The spheres are...

Two large circular discs separated by a distance of 0.01 m are connected to a battery via a switch as
shown in the figure. Charged oil drops of density 900 kg m−3
are released through a tiny hole at the
center of the top disc. Once some oil...

A point charge q of mass m is suspended vertically by a string of length l. A point dipole of dipole
moment \(\overrightarrow p\) is now brought towards q from infinity so that the charge moves away. The final
equilibrium position of the s...

A large square container with thin transparent vertical walls and filled with water
(refractive index \({4 \over 3}\)) is kept on a horizontal table. A student holds a thin straight wire vertically
inside the water 12 cm from one of its cor...

A beaker of radius r is filled with water (refractive index \({4 \over 3}\)) up to a height H as shown in the figure on the left. The beaker is kept on a horizontal table rotating with angular speed \(\omega\). This makes the water surface ...

A thermally isolated cylindrical closed vessel of height 8 m is kept vertically. It is divided into two
equal parts by a diathermic (perfect thermal conductor) frictionless partition of mass 8.3 kg. Thus the
partition is held initially at a...

A container with 1 kg of water in it is kept in sunlight, which causes the water to get warmer than the surroundings. The average energy per unit time per unit area received due to the sunlight is 700 Wm\(-\)2 and it is absorbed by the wate...

A spherical bubble inside water has radius R. Take the pressure inside the bubble and the water pressure to be p0. The bubble now gets compressed radially in an adiabatic manner so that its radius becomes (R \(-\) a). For a << R the magnitu...

Starting at time t = 0 from the origin with speed 1 ms-1, a particle follows a two-dimensional trajectory in the x-y plane so that its coordinates are related by the equation \(y = {{{x^2}} \over 2}\). The x and y components of its accelera...

A hot air balloon is carrying some passengers, and a few sandbags of mass 1 kg each so that its total
mass is 480 kg. Its effective volume giving the balloon its buoyancy is V. The balloon is floating at
an equilibrium height of 100 m. When...

A cubical solid aluminium (bulk modulus = \(- V{{dP} \over {dV}} = 70GPa\)) block has an edge length of 1 m on the surface of the earth. It is kept on the floor of a 5 km deep ocean. Taking the average density of water and the acceleration...

A train with cross-sectional area St
is moving with speed vt
inside a long tunnel of cross-sectional
area S0 (S0 = 4St). Assume that almost all the air (density \(\rho\)) in front of the train flows back between
its sides and the walls of ...

A rod of mass m and length L, pivoted at one of its ends, is hanging vertically. A bullet of the same mass moving at speed v strikes the rod horizontally at a distance x from its pivoted end and gets embedded in it. The combined system now ...

A student skates up a ramp that makes an angle 30\(^\circ\) with the horizontal. He/she starts (as shown in the figure) at the bottom of the ramp with speed v0 and wants to turn around over a semicircular path xyz of radius R during which h...