IIT-JEE 2011 Paper 2 Offline

A series RC-current is connected to AC voltage source. Consider two cases : (A) When C is without a dielectric medium and (B) when C is filled with dielectric of constant 4. The current IR through the resistor and voltage VC across the capa...

A series RC combination is connected to an AC voltage of angular frequency \(\omega\) = 500 rad/s. If the impedance of the RC circuit is R\(\sqrt{1.25}\), the time constant (in millisecond) of the circuit is __________.

Two batteries of different emfs and different internal resistance are connected as shown. The voltage across AB in volts is __________.

A silver sphere of radius 1 cm and work function 4.7 eV is suspended from an insulating thread in free-space. It is under continuous illumination of 200 nm wavelength light. As photoelectrons are emitted, the sphere gets charged and acquire...

Which of the following statement(s) is/are correct?

Which of the field patterns given below is valid for electric field as well as for magnetic field ?

Water (with refractive index = 4/3) in a tank is 18 cm deep. Oil of refractive index 7/4 lies on water making a convex surface of radius of curvature R = 6 cm as shown. Consider oil to act a thin lens. An object S is placed 24 cm above wate...

A satellite is moving with a constant speed ‘V’ in a circular orbit about the earth. An object of mass ‘m’ is
ejected from the satellite such that it just escapes from the gravitational pull of the earth. At the time of its
ejection, the ki...

One mole of a monatomic gas is taken through a cycle ABCDA as shown in the PV diagram. Column II give the characteristics involved in the cycle. Match them with each of the processes given in Column I.











Column I

...

A ball of mass 0.2 kg rests on a vertical post of height 5 m. A bullet
of mass 0.01 kg, traveling with a velocity V m/s in a horizontal
direction, hits the center of the ball. After the collision, the ball and
bullet travel independently. T...

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 ...