IIT-JEE 2009 Paper 2 Offline

Photoelectric effect experiments are performed using three different metal plates p, q and r having work functions \(\phi_p=2.0~\mathrm{eV}\), \(\phi_q=2.5~\mathrm{eV}\) and \(\phi_r=3.0~\mathrm{eV}\), respecticely. A light beam containing ...

Two metallic rings A and B, identical in shape and size but having different resistivities \(\rho_A\) and \(\rho_B\), are kept on top of two identical solenoids as shown in the figure below. When current I is switched on in both the solenoi...

A solid sphere of radius R has a charge Q distributed in its volume with a charge density \(\rho = K{r^a}\), where K and a are constants and r is the distance from its centre. If the electric field at \(r = R/2\) is 1/8 times than at $$r =...

The figure shows the PV plot of an ideal gas taken through a cycle ABCDA. The part ABC is a semicircle and CDA is half of an ellipse. Then,

Column II gives certain systems undergoing a process. Column I suggests changes in some of the parameters related to the system. Match the statements in Column I to the appropriate process(es) from Column II:

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A metal rod AB of length 10x has its one end A in ice at 0\(^\circ\)C and the other end B in water at 100\(^\circ\)C. If a point P on the rod is maintained at 400\(^\circ\)C, then it is found that equal amounts of water and ice evaporate an...

A piece of wire is bent in the shape of a parabola y = kx2 (y-axis vertical) with a bead of mass m on it. The bead can slide on the wire without friction. It stays at the lowest point of the parabola when the wire is at rest. The wire is no...

A steady current I goes through a wire loop PQR having shape of a right angle triangle with PQ = 3x, PR = 4x and QR = 5x. If the magnitude of the magnetic field at P due to this loop is \(k\left( {{{{\mu _0}I} \over {48\pi x}}} \right)\), f...

Two soap bubbles A and B are kept in a closed chamber where the air is maintained at pressure 8 N/m\(^2\). The radii of bubbles A and B are 2 cm and 4 cm, respectively. Surface tension of the soap-water used to make bubbles is 0.04 N/m. Fin...

A cylindrical vessel of height 500 mm has an orifice (small hole) at its bottom. The orifice is initially closed and water is filled in it up to height H. Now the top is completely sealed with a cap and the orifice at the bottom is opened. ...

A sphere is rolling without slipping on a fixed horizontal plane surface. In the figure below, A is the point of contact, B is the centre of the sphere and C is its topmost point. Then,

The mass M shown in the figure below oscillates in simple harmonic motion with amplitude A. The amplitude of the point P is

A uniform rod of length L and mass M is pivoted at the centre. Its two ends are attached to two springs of equal spring constants \(k\). The springs are fixed to rigid supports as shown in the figure, and the rod is free to oscillate in the...

A student performed the experiment to measure the speed of sound in air using resonance air-column method. Two resonances in the air-column were obtained by lowering the water level. The resonance with the shorter air-column is the first re...

Column I shows four situations of standard Young's double slit arrangement with the screen placed far away from the slits S\(_1\) and S\(_2\). In each of these cases, S\(_1\)P\(_0\) = S\(_2\)P\(_0\), S\(_1\)P\(_1\) \(-\) S\(_2\)P\(_1\) = $$...

Under the influence of the Coulomb field of charge +Q, a charge \(-\)q is moving around it in an elliptical orbit. Find out the correct statement(s):

A 20 cm long string, having a mass of 1.0 g, is fixed at both the ends. The tension in the string is 0.5 N. The string is set into vibrations using an external vibrator of frequency 100 Hz. find the separation (in cm) between the successive...

A light inextensible string that goes over a smooth fixed pulley as shown in the figure connects two blocks of masses 0.36 kg and 0.72 kg. Taking g = 10 m/s2, find the work done (in joules) by the string on the block of mass 0.36 kg during ...

Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. These have masses m, 2m and m, respectively. The object A moves towards B with a speed 9 m/s and makes an elastic collision with it. Thereafter, B ma...