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

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?

A bend in level road has a radius of 100 m. The maximum speed with which a car turning this bend without skidding, if coefficient of friction between the tyres and the surface of the road is 0.8, will be (g=9.8 m/s2)

A swimmer while jumping into water from a height easily forms a loop in air, if

A uniform horizontal circular platform of mass 200kg is rotating in 10 r.p.m. about a vertical axis passing through its centre. A boy of mass 500 Kg is standing on its edge. If the boy moves to the centre of the platform, then the frequency of rotation would be

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

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 

Heat energy is incident on the surface at the rate of 100 J/min. If coefficient of absorption is 0.8 and coefficient of reflection is 0.1 then heat energy transmitted by the surface in 5 minute is

An iron nail changes its colour from red to orange red and then to bluish white, when heated strongly in flames. This change of colour can be explained on the basis of

An office room contains about 2000 moles of air. The change in the internal energy of this much air when it is called from 34℃ to 24ºC at a constant pressure of 1.0 atm is (Use ♈︎air = 1.4 and Universal gas constant = 8.314 J/mol K)

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

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 type of ‘defect’ has the presence of cations in the interstitial sites?

A crystalline solid XY3 has ccp arrangement for its element Y. X occupies_____.

Select a ferromagnetic material from the following.

In face-centred cubic unit cell, what is the volume occupied?

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)

The packing efficiency in simple public unit cell is ______ .

A corner particle contributes its _______ part to the given unit cell.

Which of the following in a hydrogen bonded molecular solid?

Which of the following is a weak electrolyte ?

Which one of the following pairs of solution is NOT an acidic buffer?

Which of the following salt will give the highest pH in water?

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

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

Which of the following forms a basic buffer solution?

What is the pH of millimolar solution of ammonium hydroxide which is 20% dissociated?

The ratio of pH of 0.05 M and 0.005 M H2SO4 solutions will be _____.

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]

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)

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

The number of atoms in 2.4 g of body-centred cubic crystal with edge length 200 pm is _____. (density = 10 g cm^{−3  ,} NA = 6 x 10²³ atoms/mol)

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 _____.

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.

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

Silicon is a _____ as it conducts electricity better than _____but not as efficient as ________.