JEE Advanced 2016 Paper 2 Offline

An accident in a nuclear laboratory resulted in deposition of a certain amount of radioactive material of half-life 18 days inside the laboratory. Tests revealed that the radiation was 64 times more than the permissible level required for s...

The electrostatic energy of Z protons uniformly distributed throughout a spherical nucleus of radius R is given by \(E = {3 \over 5}{{Z(Z - 1){e^2}} \over {4\pi {\varepsilon _0}R}}\)The measured masses of the neutron, \(_1^1H\), $$_7^{15}N$...

Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers Rc < R/2, which of the following statement(s) about anyone of the galvanometers is(are) true?

In the circuit shown below, the key is pressed at time t = 0. Which of the following statement(s) is (are) true?

Light of wavelength \(\lambda\)ph falls on a cathode plate inside a vacuum tube as shown in the figure. The work function of the cathode surface is \(\phi\) and the anode is a wire mesh of conducting material kept at a distance d from the c...

A rigid wire loop of square shape having side of length L and resistance R is moving along the X-axis with a constant velocity v0 in the plane of the paper. At t = 0, the right edge of the loop enters a region of length 3L where there is a ...

Consider an evacuated cylindrical chamber of height h having rigid conducting plates at the ends and an insulating curved surface as shown in the figure. A number of spherical balls made of a light weight and soft material and coated with a...

Consider an evacuated cylindrical chamber of height h having rigid conducting plates at the ends and an insulating curved surface as shown in the figure. A number of spherical balls made of a light weight and soft material and coated with a...

A small object is placed 50 cm to the left of a thin convex lens of focal length 30 cm. A convex spherical mirror of radius of curvature 100 cm is placed to the right of the lens at a distance of 50 cm. The mirror is tilted such that the ax...

The ends Q and R of two thin wires, PQ and RS, are soldered (joined) together. Initially each of the wires
has a length of 1 m at 10oC. Now the end P is maintained at 10oC, while the end S is heated and
maintained at 400oC. The system is th...

A gas is enclosed in a cylinder with a movable frictionless piston. Its initial thermodynamic state at
pressure Pi = 105 Pa and volume Vi = 10-3 m3 changes to a final state at Pf = \(\left( {{1 \over {32}}} \right) \times {10^5}\,Pa\) and
V...

A frame of the reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular veloci...

Two thin circular discs of mass m and 4m, having radii of a and 2a, respectively, are rigidly fixed by a
massless, rigid rod of length \(l = \sqrt {24} a\) through their centers. This assembly is laid on a firm and flat
surface, and set rol...

A frame of the reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular veloci...

A block with mass M is connected by a massless spring with stiffness constant k to a rigid wall and moves without friction on a horizontal surface. The block oscillates with small amplitude A about an equilibrium position x0. Consider two c...

There are two Vernier calipers both of which have 1 cm divided into 10 equal divisions on the main scale.
The Vernier scale of one of the calipers (C1) has 10 equal divisions that correspond to 9 main scale
divisions. The Vernier scale of t...

In an experiment to determine the acceleration due to gravity g, the formula used for the time period of a
periodic motion is \(T = 2\pi \sqrt {{{7\left( {R - r} \right)} \over {5g}}}\). The values of R and r are measured to be (60 $$ \pm ...

While conducting the Young's double slit experiment, a student replaced the two slits with a large opaque plate in the XY-plane containing two small holes that act as two coherent point sources (S1, S2) emitting light of wavelength 600 mm. ...