IIT-JEE 2012 Paper 1 Offline

A small block of mass 0.1 kg lies on a fixed inclined plane PQ which makes an angle \(\theta\) with the horizontal. A horizontal force of 1 N acts on the block through its centre of mass as shown in the figure. The block remains stationary ...

Consider the motion of a positive point charge in a region, there are simultaneous uniform electric and magnetic fields \(\overrightarrow E = {E_0}\widehat j\) and \(\overrightarrow B = {B_0}\widehat j\). At time t = 0, this charge has ve...

A cylinder cavity of diameter a exists inside a cylinder of diameter 2a as shown in the figure. Both the cylinder and the cavity are infinitely long. A uniform current density J flows along the length. If the magnitude of the magnetic field...

A person blows into the open end of a long pipe. As a result, a high-pressure pulse of air travels down the pipe. When this pulse reaches the other end of the pipe,

A small mass m is attached to a massless string whose other end is fixed at P as shown in the figure. The mass is undergoing circular motion in the xy-plane with centre at O and constant angular speed \(\omega\). If the angular momentum of ...

A thin uniform rod, pivoted at O, is rotating in the horizontal plane with constant angular speed \(\omega\), as shown in the figure. At time t = 0, a small insect starts from O and moves with constant speed v, with respect to the rod towar...

A lamina is made by removing a small disc of diameter 2R from a bigger disc of uniform mass density and radius 2R, as shown in the figure. The moment of inertia of this lamina about axes passing through O and P is IO and IP respectively. Bo...

A small block is connected to one end of a massless spring of un-stretched length 4.9 m. The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by 0.2 m and releas...

In the determination of Young's modulus \(\left( {Y = {{4MLg} \over {\pi l{d^2}}}} \right)\)
by using Searle's method, a wire of length L = 2 m
and diameter d = 0.5 mm is used. For a load M = 2.5 kg, an extension l = 0.25 mm in the length o...

Young's double slit experiment is carried out by using green, red and blue light, one colour at a time. The fringe widths recorded are \(\beta\)G, \(\beta\)R and \(\beta\)B, respectively. Then,