JEE Advanced 2014 Paper 1 Offline

At time t = 0, terminal A in the circuit shown in the figure is connected to B by a key and an alternating current I(t) = I0 cos (\(\omega\)t), with I0 = 1 A and \(\omega\) = 500 rad s-1 starts flowing in it with the initial direction shown...

A parallel plate capacitor has a dielectric slab of dielectric constant \(K\) between its plates that covers \(1/3\) of the area of its plates, as shown in the figure. The total capacitance of the capacitor is \(C\) while that of the portio...

Two ideal batteries of emf V1 and V2 and three resistances R1, R2 and R3 are connected as shown in the figure. The current in resistance R2 would be zero if

A galvanometer gives full scale deflection with 0.006 A current. By connecting it to a 4990 \(\Omega\) resistance, it can be converted into a voltmeter of range 0-30V. If connected to a \({{2n} \over {249}}\Omega\) resistance, it becomes a...

Let \({E_1}\left( r \right),{E_2}\left( r \right)\) and \({E_3}\left( r \right)\) be the respective electric field at a distance \(r\) from a point charge \(Q,\) an infinitely long wire with constant linear charge density \(\lambda ,\) and ...

A transparent thin film of uniform thickness and refractive index n1 = 1.4 is coated on the convex spherical surface of radius R at one end of a long solid glass cylinder of refractive index n2 = 1.5, as shown in the figure. Rays of light ...

A thermodynamic system is taken from an initial state i with internal energy Ui = 100 J to the final state f along two different paths iaf and ibf, as schematically shown in the figure. The work done by the system along the paths af, ib and...

In the figure, a ladder of mass m is shown leaning against a wall. It is in static equilibrium making an angle \(\theta\) with the horizontal floor. The coefficient of friction between the wall and the ladder is \(\mu\)1 and that between th...

Two parallel wires in the plane of the paper are distance X0 apart. A point charge is moving with speed u between the wires in the same plane at a distance X1 from one of the wires. When the wires carry current of magnitude I in the same di...

Airplanes A and B are flying with constant velocity in the same vertical plane at angles \(30^\circ\) and \(60^\circ\) with
respect to the horizontal respectively as shown in the figure. The speed of A is \(100\sqrt 3\) m/s. At time t = ...

A rocket is moving in a gravity free space with a constant
acceleration of 2 ms–2 along + x direction (see figure). The
length of a chamber inside the rocket is 4 m. A ball is
thrown from the left end of the chamber in + x direction
with a ...

Heater of an electric kettle is made of a wire of length L and diameter d. It takes 4 minutes to raise the temperature of 0.5 kg water by 40 K. This heater is replaced by a new heater having two wires of the same material, each of length L ...

A uniform circular disc of mass 1.5 kg and radius 0.5 m is initially at rest on a horizontal frictionless surface. Three forces of equal magnitude F = 0.5 N are applied simultaneously along the three sides of an equilateral triangle XYZ wit...

A horizontal circular platform of radius 0.5 m and mass 0.45 kg is free to rotate about its axis. Two massless spring toy-guns, each carrying a steel ball of mass 0.05 kg are attached to the platform at a distance 0.25 m from the centre on...

During Searle's experiment, zero of the Vernier scale lies between 3.20 \(\times\) 10-2 m and 3.25 \(\times\) 10-2 m of the
main scale. The 20th division of the Vernier scale exactly coincides with one of the main scale divisions.
When ...

To find the distance d over which a signal can be seen clearly in foggy conditions, a railways engineer uses
dimensional analysis and assumes that the distance depends on the mass density \(\rho\) of the fog, intensity
(power/area) S of th...

A light source, width emits two wavelengths \(\lambda\)1 = 400 nm and \(\lambda\)2 = 600 nm, is used in a Young's double-slit experiment. If recorded fringe widths for \(\lambda\)1 and \(\lambda\)2 are \(\beta\)1 and \(\beta\)2 and the numb...

One end of a taut string of length 3 m along the x-axis is fixed at x = 0. The speed of the waves in the string is 100 ms\(-\)1. The other end of the string is vibrating in the y-direction so that stationary waves are set up in the string. ...

A student is performing an experiment using a resonance column and a tuning fork of frequency 244 s\(-\)1. He is told that the air in the tube has been replaced by another gas (assume that the column remains filled with the gas). If the min...

Consider an elliptically shaped rail PQ in the vertical plane with
OP = 3 m and OQ = 4 m. A block of mass 1 kg is pulled along the
rail from P to Q with a force of 18 N, which is always parallel to
line PQ (see the figure given). Assuming n...