A cubical block of side 30 cm is moving with velocity 2 ms−1 on a smooth horizontal surface. The surface has a bump at a point O as shown in figure. The angular velocity (in rad/s) of the block immediately after it hits the bump, is :

At very high pressures, the compressibility factor of one mole of a gas is given by :

Initially, the root mean square (rms) velocity of N2 molecules at certain temperature is $$u$$. If this temperature is doubled and all the nitrogen molecules dissociate into nitrogen atoms, then the new rms velocity will be :

Two closed bulbs of equal volume $$(V)$$ containing an ideal gas initially at pressure $$p_i$$ and temperature $$T_1$$ are connected through a narrow tube of negligible volume as shown in the figure below. The temperature of one of the bulbs is then raised to $$T_2.$$ The final pressure $$p_f$$ is :

At 300 K and 1 atm, 15 mL of a gaseous hydrocarbon requires 375 mL air containing 20% O2 by volume for complete combustion. After combustion the gases occupy 345 mL. Assuming that the water formed is in liquid form and the volumes were measured at the same temperature and pressure, the formula of the hydrocarbon is:

The reaction of propene with HOCl (Cl2 + H2O) proceeds through the intermediate:

Consider the reaction sequence below : X is:

5 L of an alkane requires 25 L of oxygen for its complete combustion. If all volumes are measured at constant temperature and pressure, the alkane is :

The pair having the same magnetic moment is : [At. No.: Cr = 24, Mn = 25, Fe = 26, Co = 27]

Which of the following is an example of homoleptic complex?

Which one of the following complexes will consume more equivalents of aqueous solution of Ag(NO3)?

Which one of the following complexes shows optical isomerism? (en = ethylenediamine)

Identify the correct trend given below : (Atomic No.=Ti : 22, Cr : 24 and Mo : 42)

A stream of electrons from a heated filament was passed between two charged plates kept at a potential difference V esu. If e and m are charge and mass of an electron, respectively, then the value of h / $$\lambda$$ (where $$\lambda$$ is wavelength associated with electron wave) is given by :

The total number of orbitals associated with the principal quantum number 5 is :

The following statements concern elements in the periodic table. Which of the following is true ?

Which one of the following statements about water is FALSE?

Identify the incorrect statement regarding heavy water :

Identify the reaction which does not liberate hydrogen :

Which one of the following reagents is not suitable for the elimination reaction ?