IIT-JEE 2007 Paper 2 Offline

STATEMENT 1
A vertical iron rod has a coil of wire wound over it at the bottom end. An alternating current flows in the coil. The rod goes through a conducting ring as shown in the figure. The ring can float at a certain height above the co...

Electrons with de-Broglie wavelength \(\lambda\) fall on the target in an X-ray tube. The cut-off wavelength of the emitted X-rays is

A spherical portion has been removed from a solid sphere having a charge distributed uniformly in its volume as shown in the figure. The electric field inside the emptied space is

Positive and negative point charges of equal magnitude are kept at \(\left(0,0, \frac{a}{2}\right)\) and \(\left(0,0, \frac{-a}{2}\right)\), respectively. The work done by the electric field when another positive point charge is moved from ...

Light travels as a

The phases of the light wave at \(c, d, e\) and \(f\) are \(\phi_c, \phi_d, \phi_{e}\) and \(\phi_{f}\) respectively.
It is given that \(\phi_{c} \neq \phi_{f}\).

STATEMENT 1
The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its pressure and its volume.
Because
STATEMENT 2
The molecules of a gas collide with each other and the velo...

STATEMENT 1
A cloth covers a table. Some dishes are kept on it. The cloth can be pulled out without dislodging the dishes from the table.
STATEMENT 2
For every action there is an equal and opposite reaction.

A particle moves in the X - Y plane under the influence of a force such that its linear momentum is \(\overrightarrow p \left( t \right) = A\left[ {\widehat i\cos (kt) - \widehat j\sin (kt)} \right]\), where A and k are constants. The angle...

A magnetic field \(\overrightarrow{\mathrm{B}}=\mathrm{B}_{0} \hat{j}\) exists in the region \(a < x < 2 a\) and \(\overrightarrow{\mathrm{B}}=-\mathrm{B}_{0} \hat{j}\), in the region \(2 a < x < 3 a\), where \(\mathrm{B}_{0}\) is a positiv...

Two wires each carrying a steady current I are shown in four configurations in Column I. Some of the resulting effects are described in Column II. Match the statements in Column I with the statements in Column II and indicate your answer by...

Water is filled up to a height \(h\) in a beaker of radius \(R\) as shown in the figure. The density of water is \(\rho\), the surface tension of water is \(T\) and the atmospheric pressure is P. Consider a vertical section \(A B C D\) of t...

Column I gives some devices and Column II gives some process on which the functioning of these devices depend. Match the devices in Column I with the processes in Column II and indicate your answer by darkening appropriate bubbles in the $$...

A small object of uniform density rolls up a curved surface with an initial velocity \(v\). It reaches up to a maximum height of \(\frac{3 v^{2}}{4 g}\) with respect to the initial position. The object is

STATEMENT 1
If there is no external torque on a body about its center of mass, then the velocity of the center of mass remains constant.
Because
STATEMENT 2
The linear momentum of an isolated system remains constant.

A student performs an experiment to determine the Young's modulus of a wire, exactly 2 m long,
by Searle's method. In a particular reading, the student measures the extension in the length of
the wire to be 0.8 mm with an uncertainty of $$\...

Speed of the light is

In the experiment to determine the speed of sound using a resonance column,

The speed of sound of the whistle is

The distribution of the sound intensity of the whistle as observed by the passengers in train \(\mathrm{A}\) is best represented by

The spread of frequency as observed by the passengers in train B is

Column I describe some situations in which a small object moves. Column II describes some characteristics of these motions. Match the situation in Column I with the characteristics in Column II and indicate your answer by darkening appropri...