JEE Advanced 2014 Paper 2 Offline

If \(\lambda\)Cu is the wavelength of K\(\alpha\) X-ray line of copper (atomic number 29) and \(\lambda\)Mo is the wavelength of the K\(\alpha\) X-ray line of molybdenum (atomic number 42), then the ratio \(\lambda\)Cu/\(\lambda\)Mo is clos...

During an experiment with a metre bridge, the galvanometer shall a null point when the jockey is pressed at 40.0 cm using a standard resistance of 90\(\Omega\), as shown in the figure. The least count of the scale used in the meter bridge i...

A metal surface is illuminated by light of two different wavelengths 248 nm and 310 nm. The maximum speeds of the photoelectrons corresponding to these wavelengths are u1 and u2, respectively. If the ratio u1 : u2 = 2 : 1 and hc = 1240 eV n...

Four charges Q1, Q2, Q3 and Q4 of same magnitude are fixed along the x axis at x = \(-\)2a, \(-\)a, +a and +2a, respectively. A positive charge q is placed on the positive y axis at a distance b > 0. Four options of the signs of these charg...

Charges \(Q,\) \(2Q\) and \(4Q\) are uniformly distributed in three dielectric solid spheres \(1,2\) and \(3\) of radii \(R/2,R\) and \(2R\) respectively, as shown in figure. If magnitude of the electric fields at point \(P\) at a distance ...

A point source S is placed at the bottom of a transparent block of height 10 mm and refractive index 2.72. It is immersed in a lower refractive index liquid as shown in the below figure. It is found that the light emerging from the block to...

Four combinations of two thin lenses are given in List I. The radius of curvature of all curved surfaces is r and the refractive index of all the lenses is 1.5. Match lens combinations in List I with their focal length in List II and select...

A planet of radius R = \({1 \over {10}} \times\) (radius of Earth) has the same mass density as Earth. Scientists dig a well of
depth \({R \over 5}\)
on it and lower a wire of the same length and of linear mass density 10-3 kg m-1 into it....

Consider the partition to be rigidly fixed so that it does not move. When equilibrium is achieved, the final temperature of the gases will be

Now consider the partition to be free to move without friction so that the pressure of gases in both compartments is the same. Then total work done by the gases till the time they achieve equilibrium will be

Parallel rays of light of intensity \(I\) = 912 Wm–2 are incident on a spherical black body kept in surroundings
of temperature 300 K. Take Stefan-Boltzmann constant \(\sigma\) = 5.7 \(\times\) 10–8 Wm–2K–4 and assume that the energy
exc...

A wire, which passes through the hole in a small bead, is bent in the form of quarter of a circle. The wire is fixed vertically on ground as shown in the below figure. The bead is released from near the top of the wire and it slides along t...

A block of mass m1 = 1 kg another mass m2 = 2 kg, are placed together (see figure) on an inclined plane with angle of inclination \(\theta\). Various values of \(\theta\) are given in List I. The coefficient of friction between the block m1...

When d \(\approx\) a but wires are not touching the loop, it is found that the net magnetic field on the axis of the loop is zero at a height h above the loop. In that case

Consider d >> a, and the loop is rotated about its diameter parallel to the wires by 30\(^\circ\) from the position shown in the below figure. If the currents in the wires are in the opposite directions, the torque on the loop at its new po...

A glass capillary tube is of the shape of truncated cone with an apex angle \(\alpha\) so that its two ends have cross sections of different radii. When dipped in water vertically, water rises in it to a height h, where the radius of its cr...

If the piston is pushed at a speed of 5 mm s\(-\)1, the air comes out of the nozzle with a speed of

If the density of air is \(\rho\)a and that of the liquid \(\rho\)l, then for a given piston speed the rate (volume per unit time) at which the liquid is sprayed will be proportional to

A person in a lift is holding a water jar, which has a small hole at the lower end of its side. When the lift is
at rest, the water jet coming out of the hole hits the floor of the lift at a distance d of 1.2 m from the person.
In the follo...

A tennis ball is dropped on a horizontal smooth surface. It bounces back to its original position after hitting the surface. The force on the ball during the collision is proportional to the length of compression of the ball. Which one of t...