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

The incorrect statement among the following is :

Which one of the following compounds is non-aromatic?

According to Bohr's atomic theory :(A) Kinetic energy of electron is $$ \propto {{{Z^2}} \over {{n^2}}}$$.(B) The produc

Which one of the following carbonyl compounds cannot be prepared by addition of water on an alkyne in the presence of Hg

The correct set from the following in which both pairs are in correct order of melting point is :

What is the correct sequence of reagents used for converting nitrobenzene into m-dibromobenzene?

The calculated magnetic moments (spin only value) for species $${[FeC{l_4}]^{2 - }}$$, $${[Co{({C_2}{O_4})_3}]^{3 - }}$$

Which of the following reagent is suitable for the preparation of the product in the above reaction?

What is the correct order of the following elements with respect to their density?

Match List - I and List - II. List I List II (a) Valium (i) Antifertility

The correct shape and $$I - I - I$$ bond angles respectively in $$I_3^ - $$ ion are :

The diazonium salt of which of the following compounds will form a coloured dye on reaction with $$\beta$$-Naphthol in N

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The formula of a gaseous hydrocarbon which requires 6 times of its own volume of O2 for complete oxidation and produces

The solubility product of PbI2 is 8.0 $$\times$$ 10$$-$$9. The solubility of lead iodide in 0.1 molar solution of lead n

1.86 g of aniline completely reacts to form acetanilide. 10% of the product is lost during purification. Amount of aceta

Assuming ideal behaviour, the magnitude of log K for the following reaction at 25$$^\circ$$C is x $$\times$$ 10$$-$$1. T

C6H6 freezes at 5.5$$^\circ$$C. The temperature at which a solution of 10g of C4H10 in 200g of C6H6 freeze is __________

Sucrose hydrolyses in acid solution into glucose and fructose following first order rate law with a half-life of 3.33 h

The magnitude of the change in oxidising power of the $$MnO_4^ - /M{n^{2 + }}$$ couple is x $$\times$$ 10$$-$$4 V, if th

The total number of amines among the following which can be synthesized by Gabriel synthesis is __________.

Let A and B be 3 $$\times$$ 3 real matrices such that A is symmetric matrix and B is skew-symmetric matrix. Then the sys

The value of the integral, $$\int\limits_1^3 {[{x^2} - 2x - 2]dx} $$, where [x] denotes the greatest integer less than o

Let a, b$$ \in $$R. If the mirror image of the point P(a, 6, 9) with respect to the line $${{x - 3} \over 7} = {{y - 2}

For the system of linear equations:$$x - 2y = 1,x - y + kz = - 2,ky + 4z = 6,k \in R$$,consider the following statement

Let f(x) be a differentiable function defined on [0, 2] such that f'(x) = f'(2 $$-$$ x) for all x$$ \in $$ (0, 2), f(0)

Let f be a twice differentiable function defined on R such that f(0) = 1, f'(0) = 2 and f'(x) $$ \ne $$ 0 for all x $$ \

Let $$f:R \to R$$ be defined as$$f(x) = \left\{ {\matrix{ { - 55x,} & {if\,x < - 5} \cr {2{x^3} - 3{x^2}

If P is a point on the parabola y = x2 + 4 which is closest to the straight line y = 4x $$-$$ 1, then the co-ordinates o

The probability that two randomly selected subsets of the set {1, 2, 3, 4, 5} have exactly two elements in their interse

A possible value of $$\tan \left( {{1 \over 4}{{\sin }^{ - 1}}{{\sqrt {63} } \over 8}} \right)$$ is :

The area of the region : $$R = \{ (x,y):5{x^2} \le y \le 2{x^2} + 9\} $$ is :

Let a point P be such that its distance from the point (5, 0) is thrice the distance of P from the point ($$-$$5, 0). If

If the variance of 10 natural numbers 1, 1, 1, ....., 1, k is less than 10, then the maximum possible value of k is ____

Let $$\lambda$$ be an integer. If the shortest distance between the lines x $$-$$ $$\lambda$$ = 2y $$-$$ 1 = $$-$$2z and

If a + $$\alpha$$ = 1, b + $$\beta$$ = 2 and $$af(x) + \alpha f\left( {{1 \over x}} \right) = bx + {\beta \over x},x \n

Let $$i = \sqrt { - 1} $$. If $${{{{\left( { - 1 + i\sqrt 3 } \right)}^{21}}} \over {{{(1 - i)}^{24}}}} + {{{{\left( {1

The number of the real roots of the equation $${(x + 1)^2} + |x - 5| = {{27} \over 4}$$ is ________.

The students S1, S2, ....., S10 are to be divided into 3 groups A, B and C such that each group has at least one student

The sum of first four terms of a geometric progression (G. P.) is $${{65} \over {12}}$$ and the sum of their respective

In the given figure, a body of mass M is held between two massless springs, on a smooth inclined plane. The free ends of

If the source of light used in a Young's double slit experiment is changed from red to violet :

The logic circuit shown above is equivalent to :

Figure shows a circuit that contains four identical resistors with resistance R = 2.0$$\Omega$$, two identical inductors

A particle is projected with velocity v0 along x-axis. A damping force is acting on the particle which is proportional t

An X-ray tube is operated at 1.24 million volt. The shortest wavelength of the produced photon will be :

If one mole of an ideal gas at (P1, V1) is allowed to expand reversibly and isothermally (A to B) its pressure is reduce

A body weights 49N on a spring balance at the north pole. What will be its weight recorded on the same weighing machine,

When a particle executes SHM, the nature of graphical representation of velocity as a function of displacement is :

The period of oscillation of a simple pendulum is $$T = 2\pi \sqrt {{L \over g}} $$. Measured value of 'L' is 1.0 m from

A soft ferromagnetic material is placed in an external magnetic field. The magnetic domains :

Which of the following equations represents a travelling wave?

Two electrons each are fixed at a distance '2d'. A third charge proton placed at the midpoint is displaced slightly by a

On the basis of kinetic theory of gases, the gas exerts pressure because its molecules :

Match List - I with List - II. List I List II (a) Source of microwave frequency

A circular hole of radius $$\left( {{a \over 2}} \right)$$ is cut out of a circular disc of radius 'a' as shown in figur

Zener breakdown occurs in a p $$-$$ n junction having p and n both :

The de-Broglie wavelength of a proton and $$\alpha$$-particle are equal. The ratio of their velocities is :

According to Bohr atomic model, in which of the following transitions will the frequency be maximum?

A uniform metallic wire is elongated by 0.04 m when subjected to a linear force F. The elongation, if its length and dia

An electromagnetic wave of frequency 3 GHz enters a dielectric medium of relative electric permittivity 2.25 from vacuum

A cylindrical wire of radius 0.5 mm and conductivity 5 $$\times$$ 107 S/m is subjected to an electric field of 10 mV/m.

Two solids A and B of mass 1 kg and 2 kg respectively are moving with equal linear momentum. The ratio of their kinetic

The root mean square speed of molecules of a given mass of a gas at 27$$^\circ$$C and 1 atmosphere pressure is 200 ms$$-

A series L-C-R circuit is designed to resonate at an angular frequency $$\omega$$0 = 105 rad/s. The circuit draws 16W po

A point charge of +12$$\mu$$C is at a distance 6 cm vertically above the centre of a square of side 12 cm as shown in fi

A uniform thin bar of mass 6 kg and length 2.4 meter is bent to make an equilateral hexagon. The moment of inertia about