IIT-JEE 2011 Paper 2 Offline

A long insulated copper wire is closely wound as a spiral of N turns. The spiral has inner radius a and outer radius b. The spiral lies in the xy-plane and a steady current I flows through the wire. The z-component of the magnetic field at ...

A train is moving along a straight line with a constant acceleration 'a'. A boy standing in the train throws a
ball forward with a speed of 10 m/s, at an angle of \(60^\circ\) to the horizontal. The boy has to move forward by
1.15 m inside...

Two solid spheres A and B of equal volumes but of different densities dA and dB are connected by a string. They are fully immersed in a fluid of density dF. They get arranged into an equilibrium state as shown in the figure with a tension i...

A wooden block performs \(SHM\) on a frictionless surface with frequency, \({v_0}.\) The block carries a charge \(+Q\) on its surface . If now a uniform electric field \(\overrightarrow E\) is switched- on as shown, then the \(SHM\) of th...

A point mass is subjected to two simultaneous sinusoidal displacements in x-direction, \({x_1}\left( t \right) = A\sin \omega t\) and \({x_2}\left( t \right) = A\sin \left( {\omega t + {{2\pi } \over 3}} \right)\). Adding a third sinusoidal...

The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with
a screw gauge, whose pitch is 0.5 mm and there are 50 divisions on the circular scale. The reading on the
main scale is 2.5 mm and t...

A light ray travelling in glass medium is incident on glass-air interface at an angle of incidence \(\theta\). The reflected (R) and transmitted (T) intensities, both as function of \(\theta\), are plotted. The correct sketch is

Column I shows four systems, each of the same length L, for producing standing waves. The lowest possible natural frequency of a system is called its fundamental frequency, whose wavelength is denoted as \(\lambda\)f. Match each system with...

A thin ring of mass 2 kg and radius 0.5 m is rolling without on a horizontal plane with velocity 1 m/s. A small ball of mass 0.1 kg, moving with velocity 20 m/s in the opposite direction hits the ring at a height of 0.75 m and goes vertical...

A block of mass 0.18 kg is attached to a spring of force-constant 2 N/m. The
coefficient of friction between the block and the floor is 0.1. Initially the
block is at rest and the spring is un-stretched. An impulse is given to the
block as ...