JEE Advanced 2014 Paper 1 Offline

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 He is told that the air in the tube has been replaced by another gas (assume that the column remains filled with the gas).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...