The compound which does not exist is

The enthalpy change for the adsorption process and micelle formation respectively are

The number of molecules and moles in 2.8375 litres of O$$_2$$ at STP are respectively

The one that does not stabilize 2$$^\circ$$ and 3$$^\circ$$ structures of proteins is

Lime reacts exothermally with water to give 'A' which has low solubility in water. Aqueous solution of 'A' is often used

Which of the following is used as a stabilizer during the concentration of sulphide ores?

The major product 'P' formed in the given reaction is

Prolonged heating is avoided during the preparation of ferrous ammonium sulphate to :

Which of the following statements are correct? (A) The M$$^{3+}$$/M$$^{2+}$$ reduction potential for iron is greater tha

The octahedral diamagnetic low spin complex among the following is :

Using column chromatography, mixture of two compounds 'A' and 'B' was separated. 'A' eluted first, this indicates 'B' ha

Given below are two reactions, involved in the commercial production of dihydrogen (H$$_2$$). The two reactions are carr

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Isomeric amines with molecular formula C$$_8$$H$$_{11}$$N give the following tests Isomer (P) $$\Rightarrow$$ Can be pre

Given below are two statements: Statement I : Aqueous solution of K$$_2$$Cr$$_2$$O$$_7$$ is preferred as a primary stand

Suitable reaction condition for preparation of Methyl phenyl ether is

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Identify the correct order of reactivity for the following pairs towards the respective mechanism Choose the correct an

The pair from the following pairs having both compounds with net non-zero dipole moment is

In potassium ferrocyanide, there are ________ pairs of electrons in the $$t_{2g}$$ set of orbitals.

The number of bent-shaped molecule/s from the following is __________ N$$_3^-$$, NO$$_2^-$$, I$$_3^-$$, O$$_3$$, SO$$_2$

The number of correct statement/s involving equilibria in physical processes from the following is ________ (A) Equilibr

The sum of lone pairs present on the central atom of the interhalogen IF$$_5$$ and IF$$_7$$ is _________

The number of incorrect statement/s about the black body from the following is __________ (A) Emit or absorb energy in t

At constant temperature, a gas is at a pressure of 940.3 mm Hg. The pressure at which its volume decreases by 40% is ___

A molecule undergoes two independent first order reactions whose respective half lives are 12 min and 3 min. If both the

In the following reactions, the total number of oxygen atoms in X and Y is ___________. Na$$_2$$O + H$$_2$$O $$\to$$ 2X

$$\mathrm{FeO_4^{2 - }\buildrel { + 2.2V} \over \longrightarrow F{e^{3 + }}\buildrel { + 0.70V} \over \longrightarrow

If the degree of dissociation of aqueous solution of weak monobasic acid is determined to be 0.3, then the observed free

If $$I(x) = \int {{e^{{{\sin }^2}x}}(\cos x\sin 2x - \sin x)dx} $$ and $$I(0) = 1$$, then $$I\left( {{\pi \over 3}} \ri

The shortest distance between the lines $${{x + 2} \over 1} = {y \over { - 2}} = {{z - 5} \over 2}$$ and $${{x - 4} \ove

Let the ellipse $$E:{x^2} + 9{y^2} = 9$$ intersect the positive x and y-axes at the points A and B respectively. Let the

Let two vertices of a triangle ABC be (2, 4, 6) and (0, $$-$$2, $$-$$5), and its centroid be (2, 1, $$-$$1). If the imag

Let O be the origin and the position vector of the point P be $$ - \widehat i - 2\widehat j + 3\widehat k$$. If the posi

The negation of the statement $$(p \vee q) \wedge (q \vee ( \sim r))$$ is :

Let P be the point of intersection of the line $${{x + 3} \over 3} = {{y + 2} \over 1} = {{1 - z} \over 2}$$ and the pla

The slope of tangent at any point (x, y) on a curve $$y=y(x)$$ is $${{{x^2} + {y^2}} \over {2xy}},x > 0$$. If $$y(2) = 0

If $$f(x) = {{(\tan 1^\circ )x + {{\log }_e}(123)} \over {x{{\log }_e}(1234) - (\tan 1^\circ )}},x > 0$$, then the least

If the coefficient of $${x^7}$$ in $${\left( {ax - {1 \over {b{x^2}}}} \right)^{13}}$$ and the coefficient of $${x^{ - 5

An arc PQ of a circle subtends a right angle at its centre O. The mid point of the arc PQ is R. If $$\overrightarrow {OP

Let N denote the sum of the numbers obtained when two dice are rolled. If the probability that $${2^N}

If A is a 3 $$\times$$ 3 matrix and $$|A| = 2$$, then $$|3\,adj\,(|3A|{A^2})|$$ is equal to :

A square piece of tin of side 30 cm is to be made into a box without top by cutting a square from each corner and foldin

$$96\cos {\pi \over {33}}\cos {{2\pi } \over {33}}\cos {{4\pi } \over {33}}\cos {{8\pi } \over {33}}\cos {{16\pi } \ove

For the system of linear equations $$2x - y + 3z = 5$$ $$3x + 2y - z = 7$$ $$4x + 5y + \alpha z = \beta $$, which of the

A line segment AB of length $$\lambda$$ moves such that the points A and B remain on the periphery of a circle of radius

Let $$f$$ be a differentiable function such that $${x^2}f(x) - x = 4\int\limits_0^x {tf(t)dt} $$, $$f(1) = {2 \over 3}$$

Let the first term $$\alpha$$ and the common ratio r of a geometric progression be positive integers. If the sum of squa

Let the complex number $$z = x + iy$$ be such that $${{2z - 3i} \over {2z + i}}$$ is purely imaginary. If $${x} + {y^2}

Let $$f:( - 2,2) \to R$$ be defined by $$f(x) = \left\{ {\matrix{ {x[x],} & { - 2

Let $$y = p(x)$$ be the parabola passing through the points $$( - 1,0),(0,1)$$ and $$(1,0)$$. If the area of the region

The number of elements in the set $$\{ n \in Z:|{n^2} - 10n + 19|

If the mean of the frequency distribution .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;b

The number of permutations, of the digits 1, 2, 3, ..., 7 without repetition, which neither contain the string 153 nor t

The coefficient of $$x^7$$ in $${(1 - x + 2{x^3})^{10}}$$ is ___________.

Let a common tangent to the curves $${y^2} = 4x$$ and $${(x - 4)^2} + {y^2} = 16$$ touch the curves at the points P and

The sum of all those terms, of the arithmetic progression 3, 8, 13, ...., 373, which are not divisible by 3, is equal to

Some couples participated in a mixed doubles badminton tournament. If the number of matches played, so that no couple pl

Let a, b, c be three distinct positive real numbers such that $${(2a)^{{{\log }_e}a}} = {(bc)^{{{\log }_e}b}}$$ and $${b

Given below are two statements: Statement I : If the number of turns in the coil of a moving coil galvanometer is double

A physical quantity P is given as $$P = {{{a^2}{b^3}} \over {c\sqrt d }}$$ The percentage error in the measurement of a,

Given below are two statements: Statement I : Pressure in a reservoir of water is same at all points at the same level o

The energy of an electromagnetic wave contained in a small volume oscillates with

A carrier wave of amplitude 15 V is modulated by a sinusoidal base band signal of magnitude 3 V. The ratio of maximum am

The equivalent capacitance of the combination shown is :

Consider two containers A and B containing monoatomic gases at the same Pressure (P), Volume (V) and Temperature (T). Th

The range of the projectile projected at an angle of 15$$^\circ$$ with horizontal is 50 m. If the projectile is projecte

A particle executes S.H.M. of amplitude A along x-axis. At t = 0, the position of the particle is $$x=\frac{A}{2}$$ and

The de Broglie wavelength of a molecule in a gas at room temperature (300 K) is $$\lambda_1$$. If the temperature of the

The equivalent resistance of the circuit shown below between points a and b is :

An object is placed at a distance of 12 cm in front of a plane mirror. The virtual and erect image is formed by the mirr

Two satellites of masses m and 3m revolve around the earth in circular orbits of radii r & 3r respectively. The ratio of

The position-time graphs for two students A and B returning from the school to their homes are shown in figure. (A) A l

The angular momentum for the electron in Bohr's orbit is L. If the electron is assumed to revolve in second orbit of hyd

Given below are two statements: Statement I : Maximum power is dissipated in a circuit containing an inductor, a capacit

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Assuming the earth to be a sphere of uniform mass density, the weight of a body at a depth $$d=\frac{R}{2}$$ from the su

A zener diode of power rating 1.6 W is to be used as voltage regulator. If the zener diode has a breakdown of 8V and it

A particle of mass m moving with velocity v collides with a stationary particle of mass 2m. After collision, they stick

A transverse harmonic wave on a string is given by $$y(x,t) = 5\sin (6t + 0.003x)$$ where x and y are in cm and t in sec

10 resistors each of resistance 10 $$\Omega$$ can be connected in such as to get maximum and minimum equivalent resistan

A 1 m long metal rod XY completes the circuit as shown in figure. The plane of the circuit is perpendicular to the magne

A closed circular tube of average radius 15 cm, whose inner walls are rough, is kept in vertical plane. A block of mass

The decay constant for a radioactive nuclide is 1.5 $$\times$$ 10$$^{-5}$$ s$$^{-1}$$. Atomic weight of the substance is

Unpolarised light of intensity 32 Wm$$^{-2}$$ passes through the combination of three polaroids such that the pass axis

Three concentric spherical metallic shells X, Y and Z of radius a, b and c respectively [a

If the earth suddenly shrinks to $$\frac{1}{64}$$th of its original volume with its mass remaining the same, the period

The current required to be passed through a solenoid of 15 cm length and 60 turns in order of demagnetise a bar magnet o

Two wires each of radius 0.2 cm and negligible mass, one made of steel and the other made of brass are loaded as shown i