The figure shows two solid discs with radius R and r respectively. If mass per unit area is same for both, what is the ratio of MI of bigger disc around axis AB (Which is $$\perp$$ to the plane of the disc and passing through its centre) of MI of smaller disc around one of its diameters lying on its plane? Given 'M' is the mass of the larger disc. (MI stands for moment of inertia)

The solid cylinder of length 80 cm and mass M has a radius of 20 cm. Calculate the density of the material used if the moment of inertia of the cylinder about an axis CD parallel to AB as shown in figure is 2.7 kg m2.

Moment of inertia of a square plate of side l about the axis passing through one of the corner and perpendicular to the plane of square plate is given by :

Two discs have moments of inertia I1 and I2 about their respective axes perpendicular to the plane and passing through the centre. They are rotating with angular speeds, $$\omega$$1 and $$\omega$$2 respectively and are brought into contact face to face with their axes of rotation coaxial. The loss in kinetic energy of the system in the process is given by :

Angular momentum of a single particle moving with constant speed along circular path :

A system consists of two identical spheres each of mass 1.5 kg and radius 50 cm at the end of light rod. The distance between the centres of the two spheres is 5 m. What will be the moment of inertia of the system about an axis perpendicular to the rod passing through its midpoint?

The interaction energy of London forces between two particles is proportional to rx, where r is the distance between the particles. The value of x is :

The unit of the van der Waals gas equation parameter 'a' in \left( {P + {{a{n^2}} \over {{V^2}}}} \right)(V - nb) = nRT is :

Which one of the following is the correct PV vs P plot at constant temperature for an ideal gas? (P and V stand for pressure and volume of the gas respectively)

Identify products A and B.

The correct order of the following compounds showing increasing tendency towards nucleophilic substitution reaction is :

Identify A in the given chemical reaction.

The correct sequence of reagents used in the preparation of 4-bromo-2-nitroethyl benzene from benzene is :

The major product of the following reaction is :

In $$\stackrel{1}{C}{H}_2=\stackrel{2}{C}=\stackrel{3}{C}H-\stackrel{4}{C}{H}_3$$ molecule, the hybridization of carbon 1, 2, 3 and 4 respectively, are :

Which of the following is Lindlar catalyst?

An unsaturated hydrocarbon X on ozonolysis gives A. Compound A when warmed with ammonical silver nitrate forms a bright silver mirror along the sides of the test tube. The unsaturated hydrocarbon X is :

Choose the correct statement regarding the formation of carbocations A and B given.

Given below are two statements : Statement I : 2-methylbutane on oxidation with KMnO4 gives 2-methylbutan-2-ol. Statement II : n-alkanes can be easily oxidised to corresponding alcohols with KMnO4. Choose the correct option :

Match List - I with List - II : List - I (Chemicals) (a) Alcoholic potassium hydroxide (b) Pd/BaSO4 (c) BHC (Benzene hexachloride) (d) Polyacetylene List - II (Use / Preparation / Constituent) (i) Electrodes in batteries (ii) Obtained by addition reaction (iii) Used for $$\beta$$ - elimination reaction (iv) Lindlar's catalyst Choose the most appropriate match :