JEE (Advanced) 2011 Paper-1

To an evacuated vessel with movable piston under external pressure of 1 atm., 0.1 mol of He and 1.0 mol of an unknown compound (vapour pressure 0.68 atm, at $$0^\circ C$$) are introduced. Considering the ideal gas behaviour, the total volume (in litre) of the gases at 0ºC is close to.

The total number of alkenes possible by dehydrobromination of 3-bromo-3-cyclopentylhexane using alcoholic KOH is.

The work function $$(\phi)$$ of some metals is listed below. The number of metals which will show photoelectric effect when light of 300 nm wavelength falls on the metal is.

5.6 liter of helium gas at STP is adiabatically compressed to 0.7 liter. Taking the initial temperature to be $$T_1$$, the work done in the process is-

A ball of mass (m) 0.5 kg is attached to the end of a string having length (L) 0.5 m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N. The maximum possible value of angular velocity of ball (in radian/s) is-

Consider an electric field $$\overrightarrow{E} = E_0\hat{x}$$, where $$E_0$$ is a constant. The flux through the shaded area (as shown in the figure) due to this field is-

A police car with a siren of frequency 8 kHz is moving with uniform velocity 36 km/hr towards a tall building which reflects the sound waves. The speed of sound in air is 320 m/s. The frequency of the siren heard by the car driver is-

A meter bridge is set-up as shown, to determine an unknown resistance 'X' using a standard 10 ohm resistor. The galvanometer show null point when tapping-key is at 52 cm mark. The end-corrections are 1 cm and 2 cm respectively for the ends A and B. The determine value of 'X' is-

A 2 $$\mu F$$ capacitor is charged as shown in figure. The percentage of its stored energy dissipated after the switch S is turned to position 2 is-

The wavelength of the first spectral line in the Balmer series of hydrogen atom is 6561 Å. The wave length of the second spectral line in the Balmer series of singly-ionized helium atom is-