The product ''P'' in the above reaction is :

Given below are two statements : one is labeled as Assertion A and the other is labelled as Reason R :Assertion A : The

In the above chemical reaction, intermediate ''X'' and reagent/condition ''A'' are :

The type of pollution that gets increased during the day time and in the presence of O3 is :

The functions of antihistamine are :

Match List - I with List - II : List - IIndustrial process List - IIApplication (a)

Assertion A : Enol form of acetone [CH3COCH3] exists in < 0.1% quantity. However, the enol form of acetyl acetone [CH

Given below are two statements :Statement I : The Eo value for Ce4+ / Ce3+ is + 1.74 V.Statement II : Ce is more stable

In chromotography technique, the purification of compound is independent of :

Given below are two statements :Statement I : H2O2 can act as both oxidising and reducing agent in basic medium.Statemen

A group of 15 element, which is a metal and forms a hydride with strongest reducing power among group 15 hydrides. The e

Among the following, the aromatic compounds are :Choose the correct answer from the following options :

Match List - I with List - II : List - I Name of oxo acid List - II Oxidation state of 'P'

Which of the following reactions DOES NOT involve Hoffmann bromamide degradation?

Which of the following is Lindlar catalyst?

Given below are two statements :Statement I : Both CaCl2 . 6H2O and MgCl2 . 8H2O undergo dehydration on heating.Statemen

Which among the following pairs of Vitamins is stored in our body relatively for longer duration?

The process that involves the removal of sulphur from the ores is :

Given below are two statement : one is labelled as Assertion A and the other is labelled as Reason R :Assertion A : Size

The products ''A'' and ''B'' formed in above reactions are :

The equivalents of ethylene diamine required to replace the neutral ligands from the coordination sphere of the trans-co

Two salts A2X and MX have the same value of solubility product of 4.0 $$\times$$ 10$$-$$12. The ratio of their molar sol

Complete combustion of 750 g of an organic compound provides 420 g of CO2 and 210 g of H2O. The percentage composition o

For the reaction $$A(g) \rightleftharpoons B(g)$$ at 495 K, $$\Delta$$rG$$^\circ$$ = $$-$$9.478 kJ mol$$-$$1.If we start

$$2MnO_4^ - + b{C_2}O_4^{2 - } + c{H^ + } \to xM{n^{2 + }} + yC{O_2} + z{H_2}O$$If the above equation is balanced with

A certain element crystallises in a bcc lattice of unit cell edge length 27$$\mathop A\limits^o $$. If the same element

A 6.50 molal solution of KOH (aq.) has a density of 1.89 g cm$$-$$3. The molarity of the solution is ____________ mol dm

AB2 is 10% dissociated in water to A2+ and B$$-$$. The boiling point of a 10.0 molal aqueous solution of AB2 is ________

When light of wavelength 248 nm falls on a metal of threshold energy 3.0 eV, the de-Broglie wavelength of emitted electr

The decomposition of formic acid on gold surface follows first order kinetics. If the rate constant at 300 K is 1.0 $$\t

Let a vector $$\alpha \widehat i + \beta \widehat j$$ be obtained by rotating the vector $$\sqrt 3 \widehat i + \widehat

Let $${S_k} = \sum\limits_{r = 1}^k {{{\tan }^{ - 1}}\left( {{{{6^r}} \over {{2^{2r + 1}} + {3^{2r + 1}}}}} \right)} $$.

Let the position vectors of two points P and Q be 3$$\widehat i$$ $$-$$ $$\widehat j$$ + 2$$\widehat k$$ and $$\widehat

Which of the following Boolean expression is a tautology?

The number of elements in the set {x $$\in$$ R : (|x| $$-$$ 3) |x + 4| = 6} is equal to :

If the three normals drawn to the parabola, y2 = 2x pass through the point (a, 0) a $$\ne$$ 0, then 'a' must be greater

Let a complex number z, |z| $$\ne$$ 1, satisfy $${\log _{{1 \over {\sqrt 2 }}}}\left( {{{|z| + 11} \over {{{(|z| - 1)}^2

Let $$A = \left[ {\matrix{ i & { - i} \cr { - i} & i \cr } } \right],i = \sqrt { - 1} $$. Then, the

Let P be a plane lx + my + nz = 0 containing the line, $${{1 - x} \over 1} = {{y + 4} \over 2} = {{z + 2} \over 3}$$. If

The number of roots of the equation, (81)sin2x + (81)cos2x = 30 in the interval [ 0, $$\pi$$ ] is equal to :

If n is the number of irrational terms in the expansion of $${\left( {{3^{1/4}} + {5^{1/8}}} \right)^{60}}$$, then (n $$

The locus of the midpoints of the chord of the circle, x2 + y2 = 25 which is tangent to the hyperbola, $${{{x^2}} \over

Let the functions f : R $$ \to $$ R and g : R $$ \to $$ R be defined as :$$f(x) = \left\{ {\matrix{ {x + 2,} & {x

If for a > 0, the feet of perpendiculars from the points A(a, $$-$$2a, 3) and B(0, 4, 5) on the plane lx + my + nz =

Let [ x ] denote greatest integer less than or equal to x. If for n$$\in$$N, $${(1 - x + {x^3})^n} = \sum\limits_{j = 0}

Consider three observations a, b, and c such that b = a + c. If the standard deviation of a + 2, b + 2, c + 2 is d, then

The range of a$$\in$$R for which the function f(x) = (4a $$-$$ 3)(x + loge 5) + 2(a $$-$$ 7) cot$$\left( {{x \over 2}} \

If for x $$\in$$ $$\left( {0,{\pi \over 2}} \right)$$, log10sinx + log10cosx = $$-$$1 and log10(sinx + cosx) = $${1 \ov

A pack of cards has one card missing. Two cards are drawn randomly and are found to be spades. The probability that the

If y = y(x) is the solution of the differential equation, $${{dy} \over {dx}} + 2y\tan x = \sin x,y\left( {{\pi \over 3

Let the curve y = y(x) be the solution of the differential equation, $${{dy} \over {dx}}$$ = 2(x + 1). If the numerical

Let ABCD be a square of side of unit length. Let a circle C1 centered at A with unit radius is drawn. Another circle C2

Let f : R $$ \to $$ R be a continuous function such that f(x) + f(x + 1) = 2, for all x$$\in$$R. If $${I_1} = \int\limit

Let f : (0, 2) $$ \to $$ R be defined as f(x) = log2$$\left( {1 + \tan \left( {{{\pi x} \over 4}} \right)} \right)$$. Th

If the normal to the curve y(x) = $$\int\limits_0^x {(2{t^2} - 15t + 10)dt} $$ at a point (a, b) is parallel to the line

Consider an arithmetic series and a geometric series having four initial terms from the set {11, 8, 21, 16, 26, 32, 4}.

Let $$P = \left[ {\matrix{ { - 30} & {20} & {56} \cr {90} & {140} & {112} \cr {120} & {

If $$\mathop {\lim }\limits_{x \to 0} {{a{e^x} - b\cos x + c{e^{ - x}}} \over {x\sin x}} = 2$$, then a + b + c is equal

Let z and $$\omega$$ be two complex numbers such that $$\omega = z\overline z - 2z + 2,\left| {{{z + i} \over {z - 3i}}

The total number of 3 $$\times$$ 3 matrices A having entries from the set {0, 1, 2, 3} such that the sum of all the diag

The pressure acting on a submarine is 3 $$\times$$ 105 Pa at a certain depth. If the depth is doubled, the percentage in

A 25 m long antenna is mounted on an antenna tower. The height of the antenna tower is 75 m. The wavelength (in meter) o

The velocity-displacement graph describing the motion of bicycle is shown in the figure.The acceleration-displacement gr

A block of mass m slides along a floor while a force of magnitude F is applied to it at an angle $$\theta$$ as shown in

A block of 200 g mass moves with a uniform speed in a horizontal circular groove, with vertical side walls of radius 20

Time period of a simple pendulum is T inside a lift when the lift is stationary. If the lift moves upwards with an accel

The angle of deviation through a prism is minimum when(A) Incident ray and emergent ray are symmetric to the prism.(B) T

Four equal masses, m each are placed at the comers of a square of length (l) as shown in the figure. The moment of inert

In thermodynamics, heat and work are :

For changing the capacitance of a given parallel plate capacitor, a dielectric material of dielectric constant K is used

A plane electromagnetic wave of frequency 500 MHz is travelling in vacuum along y-direction. At a particular point in sp

The maximum and minimum distances of a comet from the Sun are 1.6 $$\times$$ 1012 m and 8.0 $$\times$$ 1010 m respective

A conducting wire of length 'l', area of cross-section A and electric resistivity $$\rho$$ is connected between the term

A bar magnet of length 14 cm is placed in the magnetic meridian with its north pole pointing towards the geographic nort

For an electromagnetic wave travelling in free space, the relation between average energy densities due to electric (Ue)

The stopping potential in the context of photoelectric effect depends on the following property of incident electromagne

An RC circuit as shown in the figure is driven by a AC source generating a square wave. The output wave pattern monitore

One main scale division of a vernier callipers is 'a' cm and nth division of the vernier scale coincide with (n $$-$$ 1)

A conducting bar of length L is free to slide on two parallel conducting rails as shown in the figure Two resistors R1 a

The volume V of an enclosure contains a mixture of three gases, 16 g of oxygen, 28 g of nitrogen and 44 g of carbon diox

The value of power dissipated across the zener diode (Vz = 15V) connected in the circuit as shown in the figure is x $$\

A fringe width of 6 mm was produced for two slits separated by 1 mm apart. The screen is placed 10 m away. The wavelengt

In the figure given, the electric current flowing through the 5 k$$\Omega$$ resistor is 'x' mA.The value of x to the nea

Consider a 20 kg uniform circular disk of radius 0.2 m. It is pin supported at its center and is at rest initially. The

The resistance R = $${V \over I}$$, where V = (50 $$\pm$$ 2)V and I = (20 $$\pm$$ 0.2)A. The percentage error in R is 'x

A sinusoidal voltage of peak value 250 V is applied to a series LCR circuit, in which R = 8$$\Omega$$, L = 24 mH and C =

In the logic circuit shown in the figure, if input A and B are 0 to 1 respectively, the output at Y would be 'x'.The val

A ball of mass 10 kg moving with a velocity $$10\sqrt 3 $$ m s$$-$$1 along X-axis, hits another ball of mass 20 kg which

The first three spectral lines of H-atom in the Balmer series are given $$\lambda$$1, $$\lambda$$2, $$\lambda$$3 conside

Consider a frame that is made up of two thin massless rods AB and AC as shown in the figure. A vertical force $$\overrig