The reagent(s) required for the following conversion are :

The major product of the following reaction is :

Which of the following will not exist in zwitter ionic form at pH=7 ?

Which of the following will most readily give the dehydrohalogenation product ?

The main reduction product of the following compound with NaBH4 in methanol is :

The increasing order of nitration of the following compounds is :

The correct match between items of List-I and List-II is : .tg {border-collapse:collapse;border-spacing:0;} .tg td{fon

Which of the following is the correct structure of Adenosine?

In hydrogen azide (above) the bond orders of bond (I) and (II) are :

An ideal gas undergoes a cyclic process as shown in Figure. $$\Delta $$UBC = $$-$$5 kJ mol-1, qAB = $$2$$ kJ mol-1, WAB

The IUPAC name of the following compound is :

The decreasing order of bond angles in BF3, NH3, PF3 and I3- is :

When an electric currents passed through acidified water, 112 mL of hydrogen gas at N.T.P. was collected at the cathode

The correct combination is :

Identify the pair in which the geometry of the species is $$T$$-shape and square - pyraidal, respectively :

In graphite and diamond, the percentage of p-characters of the hybrid orbitals in hybridisation are respectively :

For Na+, Mg2+, F- and O2-; the correct order of increasing ionic radii is :

Which of the following is a Lewis acid?

In the molecular orbital diagram for the molecular ion, N2+, the number of electrons in the $$\sigma $$2pz molecular orb

For which of the following reactions, $$\Delta $$H is equal to $$\Delta $$U?

Ejection of the photoelectron from metal in the photoelectric experiment can be stopped by applying 0.5 V when the radia

N2O5 decomposes to NO2 and O2 and follows first order kinetics. After 50 minutes, the pressure inside the vessel increas

In which of the following reactions, an increase in the volume of the container will favour the formation of products?

A sample of $$NaCl{O_3}$$ is converted by heat to $$NaCl$$ with a loss of $$0.16$$ $$g$$ of oxygen. The residue is disso

The minimum volume of water required to dissolve 0.1 g lead (II) chloride to get a saturated solution (Ksp of PbCl2 = 3

n$$-$$digit numbers are formed using only three digits 2, 5 and 7. The smallest value of n for which 900 such distinct

If x1, x2, . . ., xn and $${1 \over {{h_1}}}$$, $${1 \over {{h_2}}}$$, . . . , $${1 \over {{h_n}}}$$ are two A.P..s such

Let S be the set of all real values of k for which the systemof linear equations x + y + z = 2 2x + y $$-$$ z = 3 3x + 2

Let $$A$$ be a matrix such that $$A.\left[ {\matrix{ 1 & 2 \cr 0 & 3 \cr } } \right]$$ is a scalar m

The set of all $$\alpha $$ $$ \in $$ R, for which w = $${{1 + \left( {1 - 8\alpha } \right)z} \over {1 - z}}$$ is purely

If $$\lambda $$ $$ \in $$ R is such that the sum of the cubes of the roots of the equation, x2 + (2 $$-$$ $$\lambda $$)

Consider the following two binary relations on the set A = {a, b, c} : R1 = {(c, a), (b, b), (a, c), (c, c), (b, c), (a

If b is the first term of an infinite G.P. whose sum is five, then b lies in the interval :

If the tangents drawn to the hyperbola 4y2 = x2 + 1 intersect the co-ordinate axes at the distinct points A and B then t

If tanA and tanB are the roots of the quadratic equation, 3x2 $$-$$ 10x $$-$$ 25 = 0, then the value of 3 sin2(A + B) $$

A box 'A' contains $$2$$ white, $$3$$ red and $$2$$ black balls. Another box 'B' contains $$4$$ white, $$2$$ red and $$3

The mean of set of 30 observations is 75. If each observation is multiplied by a non-zero number $$\lambda $$ and then e

If $$\overrightarrow a ,\,\,\overrightarrow b ,$$ and $$\overrightarrow C $$ are unit vectors such that $$\overrightarr

Let y = y(x) be the solution of the differential equation $${{dy} \over {dx}} + 2y = f\left( x \right),$$ where $$f\left

In a triangle ABC, coordinates of A are (1, 2) and the equations of the medians through B and C are respectively, x + y

The value of the integral $$\int\limits_{ - {\pi \over 2}}^{{\pi \over 2}} {{{\sin }^4}} x\left( {1 + \log \left( {{{2

The area (in sq. units) of the region {x $$ \in $$ R : x $$ \ge $$ 0, y $$ \ge $$ 0, y $$ \ge $$ x $$-$$ 2  and y

If a right circular cone, having maximum volume, is inscribed in a sphere of radius 3 cm, then the curved surface area (

If $$f\left( {{{x - 4} \over {x + 2}}} \right) = 2x + 1,$$ (x $$ \in $$ R $$-$${1, $$-$$ 2}), then $$\int f \left( x \ri

Let S = {($$\lambda $$, $$\mu $$) $$ \in $$ R $$ \times $$ R : f(t) = (|$$\lambda $$| e|t| $$-$$ $$\mu $$). sin (2|t|),

If   x2 + y2 + sin y = 4, then the value of $${{{d^2}y} \over {d{x^2}}}$$ at the point ($$-$$2,0) is :

If $$f\left( x \right) = \left| {\matrix{ {\cos x} & x & 1 \cr {2\sin x} & {{x^2}} & {2x} \cr

A monochromatic beam of light has a frequency $$v = {3 \over {2\pi }} \times {10^{12}}Hz$$ and is propagating along the

In a meter bridge, as shown in the figure, it is given that resistance $$Y = 12.5\,\,\Omega $$ and that the balance is

A particle is oscillating on the $$X$$-axis with an amplitude $$2$$ $$cm$$ about the point $${x_0} = 10\,cm,$$ with a fr

A force of $$40$$ $$N$$ acts on a point $$B$$ at the end of an $$L$$-shaped object, as shown in the figure. The angle $$

A charge $$Q$$ is placed at a distance $$a/2$$ above the center of the square surface of edge a as shown in the figure.

The velocity-time graphs of a car and a scooter are shown in the figure. (i) The difference between the distance travell

In a screw gauge, $$5$$ complete rotations of the screw cause it to move a linear distance of $$0.25$$ $$cm.$$ There are

Two electrons are moving with non-relativistic speed perpendicular to each other. If corresponding de Broglie wavelength

The energy required to remove the electron from a singly ionized Helium atom is $$2.2$$ times the energies required to r

A planoconvex lens becomes an optical system of $$28$$ $$cm$$ focal length when its plane surface is silvered and illumi

A Helmholtz coil has a pair of loops, each with $$N$$ turns and radius $$R$$. They are placed coaxially at distance $$R$

Light of wavelength $$550$$ $$nm$$ falls normally on a slit of width $$22.0 \times {10^{ - 5}}$$ $$cm.$$ The angular pos

A tuning fork vibrates with frequency $$256$$ $$Hz$$ and gives one beat per second with the third normal mode of vibrati

A body of mass $$M$$ and charge $$q$$ is connected to spring of spring constant $$k.$$ It is oscillating along $$x$$-di

One mole of an ideal monoatomic gas is compressed isothermally in a rigid vessel to double its pressure at room temperat

A thin uniform tube is bent into a circle of radius $$r$$ in the vertical plane. Equal volumes of two immiscible liquids

Take the mean distance of the moon and the sun from the earth to be $$0.4 \times {10^6}$$ km and $$150 \times {10^6}$$ k

The relative error in the determination of the surface area of sphere is $$\alpha $$. Then the relative error in the de

An automobile, travelling at $$40\,$$ km/h, can be stopped at a distance of $$40\,$$ m by applying brakes. If the same a

A body of mass m is moving in a circular orbit of radius R about a planet of mass M. At some instant, it splits into two

A given object takes n times more time to slide down a $${45^ \circ }$$ rough inclined plane as it takes to slide down a

The equivalent capacitance between $$A$$ and $$B$$ in the circuit given below, is :

A uniform rod $$AB$$ is suspended from a point $$X,$$ at a variable distance $$x$$ from $$A$$, as shown, To make the rod

An ideal capacitor of capacitance $$0.2\,\mu F$$ is charged to a potential difference of $$10$$ $$V.$$ The charging batt

In the given circuit all resistances are of value $$R$$ $$ohm$$ each. The equivalent resistance between $$A$$ and $$B$$

The $$B$$-$$H$$ curve for a ferromagnet is shown in the figure. The ferromagnet is placed inside a long solended with $$