IIT-JEE 2007 Paper 2 Offline

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...