The ratio of mass percent of C and H of an organic compound (CXHYOZ) is 6 : 1. If one molecule of the above compound (CX

According to molecular orbital theory, which of the following will not be a viable molecule?

Total number of lone pair of electrons in $${\rm I}_3^ - $$ ion is

Which of the following compounds contain(s) no covalent bond(s)? KCl, PH3, O2, B2H6, H2SO4

The combustion of benzene(l) gives CO2(g) and H2O(l). Given that heat of combustion of benzene at constant volume is –32

Which of the following lines correctly show the temperature dependence of equilibrium constant K, for an exothermic reac

For 1 molal aqueous solution of the following compounds, which one will show the highest freezing point?

An aqueous solution contains an unknown concentration of Ba2+. When 50 mL of a 1 M solution of Na2SO4 is added, BaSO4 ju

An aqueous solution contains 0.10 M H2S and 0.20 M HCl. If the equilibrium constants for the formation of HS– from H2S i

Which of the following are Lewis acids?

Which of the following salts is the most basic in aqueous solution?

At 518oC the rate of decomposition of a sample of gaseous acetaldehyde initially at a pressure of 363 Torr, was 1.00 Tor

How long (approximate) should water be electrolysed by passing through 100 amperes current so that the oxygen released c

Consider the following reaction and statements: [Co(NH3)4Br2]+ + Br- $$\to$$ [Co(NH3)3Br3] + NH3 (I) Two isomers are pro

The oxidation states of Cr in [Cr(H2O)6]Cl3, [Cr(C6H6)2] and K2[Cr(CN)2(O)2(O2)(NH3)] respectively are :

The compound that does not produce nitrogen gas by the thermal decomposition is :

Which of the following compounds will be suitable for Kjeldahl’s method for nitrogen estimation?

The major product of the following reaction is:

The trans-alkenes are formed by the reduction of alkynes with

Phenol on treatment with CO2 in the presence of NaOH followed by acidification produces compound X as the major product.

Phenol reacts with methyl chloroformate in the presence of NaOH to form product A. A reacts with Br2 to form product B.

The major product formed in the following reaction is :

The increasing order of basicity of the following compounds is :

Glucose on prolonged heating with HI gives

The predominant form of histamine present in human blood is (pKa, Histidine = 6.0)

An alkali is titrated against an acid with methyl orange as indicator, which of the following is a correct combination?

Two sets A and B are as under : A = {($$a$$, b) $$ \in $$ R $$ \times $$ R : |$$a$$ - 5| < 1 and |b - 5| < 1}; B =

If $$\left| {\matrix{ {x - 4} & {2x} & {2x} \cr {2x} & {x - 4} & {2x} \cr {2x} & {2x} &

If the system of linear equations x + ky + 3z = 0 3x + ky - 2z = 0 2x + 4y - 3z = 0 has a non-zero solution (x, y, z), t

If $$\alpha ,\beta \in C$$ are the distinct roots of the equation x2 - x + 1 = 0, then $${\alpha ^{101}} + {\beta ^{107

Let S = { $$x$$ $$ \in $$ R : $$x$$ $$ \ge $$ 0 and $$2\left| {\sqrt x - 3} \right| + \sqrt x \left( {\sqrt x - 6} \ri

From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row

Let $${a_1}$$, $${a_2}$$, $${a_3}$$, ......... ,$${a_{49}}$$ be in A.P. such that $$\sum\limits_{k = 0}^{12} {{a_{4k + 1

For each t $$ \in R$$, let [t] be the greatest integer less than or equal to t. Then $$\mathop {\lim }\limits_{x \to {0^

Let $$f\left( x \right) = {x^2} + {1 \over {{x^2}}}$$ and $$g\left( x \right) = x - {1 \over x}$$, $$x \in R - \left\{ {

Let S = { t $$ \in R:f(x) = \left| {x - \pi } \right|.\left( {{e^{\left| x \right|}} - 1} \right)$$$$\sin \left| x \righ

Let g(x) = cosx2, f(x) = $$\sqrt x $$ and $$\alpha ,\beta \left( {\alpha < \beta } \right)$$ be the roots of the qua

The value of $$\int\limits_{ - \pi /2}^{\pi /2} {{{{{\sin }^2}x} \over {1 + {2^x}}}} dx$$ is

The integral $$\int {{{{{\sin }^2}x{{\cos }^2}x} \over {{{\left( {{{\sin }^5}x + {{\cos }^3}x{{\sin }^2}x + {{\sin }^3}x

Let y = y(x) be the solution of the differential equation $$\sin x{{dy} \over {dx}} + y\cos x = 4x$$, $$x \in \left( {0,

A straight line through a fixed point (2, 3) intersects the coordinate axes at distinct points P and Q. If O is the orig

Let $$\overrightarrow u $$ be a vector coplanar with the vectors $$\overrightarrow a = 2\widehat i + 3\widehat j - \wid

If $$\sum\limits_{i = 1}^9 {\left( {{x_i} - 5} \right)} = 9$$ and $$\sum\limits_{i = 1}^9 {{{\left( {{x_i} - 5} \right)

A bag contains 4 red and 6 black balls. A ball is drawn at random from the bag, its colour is observed and this ball alo

The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the

All the graphs below are intended to represent the same motion. One of them does it incorrectly. Pick it up.

Two masses m1 = 5 kg and m2 = 10 kg, connected by an inextensible string over a frictionless pulley, are moving as shown

In a collinear collision, a particle with an initial speed v0 strikes a stationary particle of the same mass. If the fin

Seven identical circular planar disks, each of mass M and radius R are welded symmetrically as shown. The moment of iner

A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical containe

A particle is moving in a circular path of radius $$a$$ under the action of an attractive potential $$U = - {k \over {2

From a uniform circular disc of radius R and mass 9M, a small disc of radius R/3 is removed as shown in the figure. The

A particle is moving with a uniform speed in a circular orbit of radius R in a central force inversely proportional to t

Two moles of an ideal monatomic gas occupies a volume V at 27oC. The gas expands adiabatically to a volume 2 V. Calculat

The mass of a hydrogen molecule is 3.32 $$\times$$ 10-27 kg. If 1023 hydrogen molecules strike, per second, a fixed wall

A granite rod of 60 cm length is clamped at its middle point and is set into longitudinal vibrations. The density of gra

A silver atom in a solid oscillates in simple harmonic motion in some direction with a frequency of 1012/sec. What is th

A parallel plate capacitor of capacitance 90 pF is connected to a battery of emf 20 V. If a dielectric material of diele

Three concentric metal shells A, B and C of respective radii a, b and c (a < b < c) have surface charge densities

Two batteries with e.m.f 12 V and 13 V are connected in parallel across a load resistor of 10 $$\Omega $$. The internal

On interchanging the resistances, the balance point of a meter bridge shifts to the left by 10 cm. The resistance of the

An electron, a proton and an alpha particle having the same kinetic energy are moving in circular orbits of radii re, rp

The dipole moment of a circular loop carrying a current I, is m and the magnetic field at the centre of the loop is B1.

In an a.c. circuit, the instantaneous e.m.f. and current are given by e = 100 sin 30 t i = 20 sin $$\left( {30t - {\pi

An EM wave from air enters a medium. The electric fields are $$\overrightarrow {{E_1}} $$ = $${E_{01}}\widehat x\cos \le

The angular width of the central maximum in a single slit diffraction pattern is 60°. The width of the slit is 1 $$\mu $

Unpolarized light of intensity I passes through an ideal polarizer A. Another identical polarizer B is placed behind A.

An electron from various excited states of hydrogen atom emit radiation to come to the ground state. Let $${\lambda _n}$

It is found that if a neutron suffers an elastic collinear collision with deuterium at rest, fractional loss of its ener

If the series limit frequency of the Lyman series is $${\nu _L}$$, then the series limit frequency of the Pfund series i

The reading of the ammeter for a silicon diode in the given circuit is :