The angular velocity of a particle rotating in a circular orbit 100 times per minute is

Two solid cylinders P and Q of the same mass and same radius start rolling down a fixed inclined plane from the same height at the same time. Cylinder P has most of the mass concentrated near its surface , while Q has most of its mass neat its surface, while Q has most of its mass concentrated near the axis. What statement (s) is/(are) correct?

A mass m is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall on release?

An electric fan has blades of length 30cm as measured from the axis of rotation. If the fan is rotating at 1200 r.p.m. , the acceleration of a point on the tip of the blade is about

A string breaks under a load of 4 kg. A mass weighting 200 g is attached to the end of this string which is one metre long and rotated horizontally. The angular velocity of rotation when the string breaks, is nearly (g = 10m/s2)

Calculate the M.I. of a thin uniform ring about an axis tangent to the ring and in a plane of the ring, if its M.I. about an axis passing through the centre and perpendicular to plane is 4 kg m²

The M.I. of disc about an axis perpendicular to its plane and passing through its centre is  Its M.I. about a tangent perpendicular to its plane will be 

Two bodies have their moments of inertia I and 2I respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio of

One mole of ideal gas required 207 J heat to rise the temperature by 10°K when heated at constant pressure. If the same gas is heated at constant volume to raise the temperature by the same 10°K the heat required is (R = 8/3 J/mole °K)

Mass of gas is 300 gm and its specific heat at constant volume is 750J/kg K. if gas is heated through 75°C at constant pressure of 10⁵ N/m², it expands by volume 0.08 × 10⁶ cm³. find C_P/C_V

The r.m.s. speed of the molecules of a gas in a vessel is 200 m/s. if 25% of the gas leaks out of the vessel, at constant temperature, then the r.m.s. speed of the remaining molecules will be

With same initial conditions, an ideal gas expands from volume V1 to V2 in three different ways the work done by gas is W1, if the process is isothermal, W2 if isobaric and W3 if adiabatic, then

To what temperature should the hydrogen at 327ºC be cooled at constant pressure, so that the root mean square velocity of its molecules becomes half of its previous value?

In the expression for Boyle’s laws , the product ‘PV’ has dimensions of

Two spherical black bodies have radii ‘r1’ and ‘r2’. Their surface temperatures are ‘T1’ and ‘T2’ . If they radiate same power then r2/r1 is

For a gas R/ Cv =0.4, where ‘R’ is the universal gas constant and ‘Cv’ is molar specific heat at constant volume. The gas is made up of molecules which are 

The resistances in left and right gap of a meter bridge are 20 Ω and 30 Ω respectively. When the resistance in the left gap is reduced to half its value, the balance point shifts by

In an LCR circuit as shown below both switches are open initially. Now switch S₁ is closed, S₂ kept open (q is charge on the capacitor and τ = RC is Capacitive time constant). Which of the following statement is correct? 

Three resistances 2Ω, 3Ω and 4Ω are connected in parallel. The ratio of currents passing through them when a potential difference is applied across its ends will be

Which of the following in a hydrogen bonded molecular solid?

The coordination number of each sphere in a close packed one dimensional structure is ______.

The packing efficiency in simple public unit cell is ______ .

Statement 1: NaNO3 and CaO3 are isomorphous pairs.

Statement 2 : They have the same atomic ratios of the constituent atoms.

Statement 3 : They have different crystal structures. 

Select the appropriate option.

There are _____ kinds of unit cells in rhombohedral and orthorhombic crystal systems respectively.

Which among the following solids is a non-polar solid?

Suppose the mass of a single Ag atom is ‘m’. Ag metal crystallises in fcc lattice with unit cell of length ‘a’ . The density of Ag metal in terms of ‘a’ and ‘m’ is _____.

Lithium has a bcc structure. Its density is 530 kg m-3 and its atomic mass is 6.94g mol-1. Calculate the edge length of a unit cell of lithium metal. (No = 6.02 ✕ 10⌃23 mol-1)

Select a ferromagnetic material from the following.

Volume occupied by single CsCl ion pair in a crystal is 7.014 x 10^-23 cm³. The smallest Cs – Cs internuclear distance is equal to length of the side of the cube corresponding to volume of one CsCl ion pair. The smallest Cs to Cs internuclear distance is nearly _____.

A compound is formed by elements ‘X’ (cations) and ‘Y’ (anions). Ions of ‘Y’ from cubic close parking (ccp) and ions of ‘X’ occupy all the octahedral voids. What is the molecular formula of the compound?

Element ‘B’ forms ccp structure and ‘A’ occupies half of the octahedral voids, while oxygen atoms occupy all the tetrahedral voids. The structure of bimetallic oxide is _______.

The pH of 0.01 M  aqueous NaOH solution will be _______.

A vessel at 1000 K contains CO₂ with a pressure of 0.5 atm. Some of the CO₂ is converted into CO on the addition of graphite. If the total pressure at equilibrium is 0.8 atm, the value of K is

Which of the following is a weak electrolyte ?

Copper sulphate solution prepared by dissolving copper sulphate crystals in water become turbid due to the formation of ______.

In qualitative analysis, for the precipitation of III A group radicals, a pH of ______ is required.

20 mL of an acidic solution having pH 3 is diluted 5 times. The H⁺ concentration in this solution will be _______.

Which of the following CANNOT act both as Bronsted acid and as Bronsted base?

In the reaction B(OH)3 + 2H2O → [B(OH)4]+ H3O⁺  

B(OH)3 functions as _______.

The pH of 10^-4 M KOH solution will be _______. 

The enthalpy of vaporization of benzene is +35.3 kJ/mol at its boiling point of 80°C.The entropy change in the transition of vapour to liquid at its boiling point is ______. (in J mol⁻¹ K⁻¹)

For the reversible reaction,

A_(s) + B_(g)  C_(g) + D_(g) ΔG° = -350kJ,

which one of the following statements is true? [Karnataka CET 2011]

In an unsaturated solution, the concentration of each ion of sparingly soluble salt at 298k, tells us the

Which of the following is least likely to act as a Lewis base?

Among the following, the anatomical/epithelial barrier of the innate immune system is

The immunity acquired by antigenic stimulus of vaccine or pathogens is

The cells which directly attack and destroy the invading microbes are

The cells which release the antibodies are

The long chain of antibodies are called

Disease causing living organisms like mold, protozoa, bacteria, helminth, etc. are called

Typhoid is a _____ disease.

Rose coloured spots or rash develops on skin during

Traditional biotechnology was primarily based on _____ technology using micro-organisms.

Pairing of primers to the ssDNA segment is

The restriction enzymes recognize a specific restriction site which contains ______ nucleotides.

Identify the recombinant protein that is used in treatment of emphysema.

Biopharmaceuticals are proteins, hormones, antibodies, vaccines or enzymes isolated from ______.

Choose CORRECT sequence of stems in PCR.

‘Cry’ gene is obtained from

Cystic fibrosis can be treated by ____ in gene therapy.

The two antibiotic resistance genes on vector pBR322 are for

Mycorrhiza is

Denisty of population increases when ______

Changing nature of population is called

Students of class XII were given a list of the following characters such as clawed toes, curved beak, feathers, pneumatic bones, wings and fur. In this list, how many are volant adaptations?

Which one of the following food chain starts with dead decaying organic matter?

Which spectrum of the light harmful to organism :