IIT-JEE 2012 Paper 2 Offline

A loop carrying current \(l\) lies in the xy-plane as shown in the figure. The unit vector \(\widehat k\) is coming out of the plane of the paper. The magnetic moment of the current loop is

An infinite long hollow conducting cylinder with inner radius R/2 and outer radius R carries a uniform current density along its length. The magnitude of the magnetic field, \(\left| {\overrightarrow B } \right|\) as a function of the radia...

A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating
vertically in water in half-submerged state. If \({\rho _c}\) is the relative density of the material of the shell
with respect to water, ...

Which of the following statements about the instantaneous axis (passing through the centre of mass) is correct?

Which of the following statements regarding the angular speed about the instantaneous axis (passing through the centre of mass) is correct?

Two solid cylinders P and Q of same mass and same radius start rolling down a fixed inclined
plane from the same height at the same time. Cylinder P has most of its mass concentrated near
its surface, while Q has most of its mass concentrat...

Two identical discs of same radius R are rotating about their axes in
opposite directions with the same constant angular speed \(\omega\). The
discs are in the same horizontal plane. At time t = 0, the points P
and Q are facing each other ...

The figure shows a system consisting of (i) a ring of outer radius 3R rolling clockwise without
slipping on a horizontal surface with angular speed \(\omega\) and (ii) an inner disc of radius 2R rotating
anti-clockwise with angular speed $...

Consider a disc rotating in the horizontal plane with a constant angular speed \(\omega\) about its centre
O. The disc has a shaded region on one side of the diameter and an unshaded region on the
other side as shown in the figure. When th...

A student is performing the experiment of resonance Column. The diameter of the column tube is
4 cm. The frequency of the tuning fork is 512 Hz. The air temperature is 38oC in which the speed
of sound is 336 m/s. The zero of the meter scale...