IIT-JEE 2009 Paper 1 Offline

The speed of the particle, that can take discrete values, is proportional to

In the core of nuclear fusion reactor, the gas becomes plasma because of

Assume that two deuteron nuclei in the core of fusion reactor at temperature T are moving towards each other, each with kinetic energy 1.5 kT, when the separation between them is large enough to neglect Coulomb potential energy. Also neglec...

Results of calculations for four different designs of a fusion reactor using D-D reaction are given below. Which of these is most promising based on Lawson criterion?

For the circuit shown in the figure

The allowed energy for the particle for a particular value of \(n\) is proportional to

If the mass of the particle is \(m=1.0\times10^{-30}\) kg and \(a=6.6\) nm, the energy of the particle in its ground state is closest to

The figure shows certain wire segments joined together to form a coplanar loop. The loop is placed in a perpendicular magnetic field in the direction going into the plane of the figure. The magnitude of the field increases with time. $$I_1$...

A disk of radius \({a \over 4}\) having a uniformly distributed charge 6C is placed in the xy-plane with its centre at (\(-\)a/2, 0, 0). A rod of length a carrying a uniformly distributed charge 8C is placed on the x-axis from x = a/4 to x ...

Three concentric metallic spherical shells of radii \(R,2R,3R\) are given charges \(Q_1,Q_2,Q_3\), respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges giv...

Six point charges, each of the same magnitude q, are arranged in different manners as shown in Column II. In each case, a point M and a line PQ passing through M are shown. Let E be the electric field and V be the electric potential at M (...

A ball is dropped from a height of 20 m above the surface of water in a lake. The refractive index of water is 4/3. A fish inside the lake, in the line of fall of the ball, is looking at the ball. At an instant, when the ball is 12.8 m abov...

A student performed the experiment of determination of focal length of a concave mirror by \(u\)-\(v\) method using an optical bench of length 1.5 m. The focal length of the mirror used is 24 cm. The maximum error in the location of the ima...

Column II shows five systems in which two objects are labelled as X and Y. Also in each case a point P is shown. Column I gives some statements about X and/or Y. Match these statements to the appropriate system(s) from Column II:

.tg {bor...

\(C_V\) and \(C_P\) denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then

Look at the drawing given in the figure below which has been drawn with ink of uniform line-thickness. The mass of ink used to draw each of the two inner circles, and each of the two line segments is \(m\). the mass of the ink used to draw ...

Two small particles of equal masses start moving in opposite directions from a point A in a horizontal circular orbit. Their tangential velocities are \(v\) and 2\(v\), respectively, as shown in the figure. Between collisions, the particles...

A block of base 10 cm × 10 cm and height 15 cm is kept on an inclined plane. The coefficient of friction
between them is \(\sqrt 3\). The inclination θ of this inclined plane from the horizontal plane is gradually
increased from $$0^\circ ...

If the resultant of all the external forces acting on a system of particles is zero, then from an inertial frame, one can surely say that

The \(x\)-\(t\) graph of a particle undergoing simple harmonic motion is shown in the figure. The acceleration of the particle at \(t=4/3\) s is