JEE Advanced 2021 Paper 2 Online

In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance C \(\mu\)F across a 200 V, 50 Hz supply. The power consumed by the lamp is 500 W while the voltage drop across it is 100 V. Assume that there is no i...

In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance C \(\mu\)F across a 200 V, 50 Hz supply. The power consumed by the lamp is 500 W while the voltage drop across it is 100 V. Assume that there is no i...

A heavy nucleus N, at rest, undergoes fission N \(\to\) P + Q, where P and Q are two lighter nuclei. Let \(\delta\) = MN \(-\) MP \(-\) MQ, where MP, MQ and MN are the masses of P, Q and N, respectively. EP and EQ are the kinetic energies o...

In order to measure the internal resistance r1 of a cell of emf E, a meter bridge of wire resistance R0 = 50\(\Omega\), a resistance R0/2, another cell of emf E/2 (internal resistance r) and a galvanometer G are used in a circuit, as shown ...

In a photoemission experiment, the maximum kinetic energies of photoelectrons from metals P, Q and R are EP, EQ and ER, respectively, and they are related by EP = 2EQ = 2ER. In this experiment, the same source of monochromatic light is used...

For a prism of prism angle \(\theta\) = 60\(^\circ\), the refractive indices of the left half and the right half are, respectively, n1 and n2 (n2 \(\ge\) n1) as shown in the figure. The angle of incidence i is chosen such that the incident ...

The distance between two stars of masses 3MS and 6MS is 9R. Here R is the mean distance between the centers of the Earth and the Sun, and MS is the mass of the Sun. The two stars orbit around their common center of mass in circular orbits w...

A soft plastic bottle, filled with water of density 1 gm/cc, carries an inverted glass test-tube with some air (ideal gas) trapped as shown in the figure. The test-tube has a mass of 5 gm, and it is made of a thick glass of density 2.5 gm/c...

A soft plastic bottle, filled with water of density 1 gm/cc, carries an inverted glass test-tube with some air (ideal gas) trapped as shown in the figure. The test-tube has a mass of 5 gm, and it is made of a thick glass of density 2.5 gm/c...

The value of \({{{T_R}} \over {{T_0}}}\) is

The value of \({Q \over {R{T_0}}}\) is

One end of a horizontal uniform beam of weight W and length L is hinged on a vertical wall at point O and its other end is supported by a light inextensible rope. The other end of the rope is fixed at point Q, at a height L above the hinge ...

A pendulum consists of a bob of mass m = 0.1 kg and a massless inextensible string of length L = 1.0 m. It is suspended from a fixed point at height H = 0.9 m above a frictionless horizontal floor. Initially, the bob of the pendulum is lyin...

A pendulum consists of a bob of mass m = 0.1 kg and a massless inextensible string of length L = 1.0 m. It is suspended from a fixed point at height H = 0.9 m above a frictionless horizontal floor. Initially, the bob of the pendulum is lyin...

Two concentric circular loops, one of radius R and the other of radius 2R, lie in the xy-plane with the origin as their common center, as shown in the figure. The smaller loop carries current I1 in the anti-clockwise direction and the large...

When the dipole m is placed at a distance r from the center of the loop (as shown in the figure), the current induced in the loop will be proportional to

The work done in bringing the dipole from infinity to a distance r from the center of the loop by the given process is proportional to

A physical quantity \(\overrightarrow S\) is defined as \(\overrightarrow S = (\overrightarrow E \times \overrightarrow B )/{\mu _0}\), where \(\overrightarrow E\) is electric field, \(\overrightarrow B\) is magnetic field and \(\mu\)0...

A source, approaching with speed u towards the open end of a stationary pipe of length L, is emitting a sound of frequency fs. The farther end of the pipe is closed. The speed of sound in air is v and f0 is the fundamental frequency of the ...