The major product of the following reaction is :

The correct match between Item-I and Item-II is : .tg {border-collapse:collapse;border-spacing:0;border:none;} .tg td

The major product of following reaction is :

The compounds A and B in the following reaction are, respectively :

The correct decreasing order for acid strength is :

Arrange the following amines in the decreasing order of basicity :

Which amongst the following is the strongest acid ?

The major product of the following reaction is :

The anodic half-cell of lead-acid battery is recharged using electricity of 0.05 Faraday. The amount of PbSO4 electrolyz

The one that is extensively used as a piezoelectric material is :

Consider the reversible isothermal expansion of an ideal gas in a closed system at two different temperatures T1 and T2

A solution of sodium sulphate contains 92 g of Na+ ions per kilogram of water. The molality of Na+ ions in that solution

The following results were obtained during kinetic studies of the reaction ; 2A + B $$ \to $$ Products .tg {bord

Two complexes [Cr(H2O)6]Cl3 (A) and [Cr(NH3)6]Cl3 (B) are violet and yellow coloured, respectively. The incorr

For emission line of atomic hydrogen from ni = 8 to nf = n, the plot of wave number $$\left( {\overline v } \right)$$ ag

Which one of the following statements regarding Henry's law is not correct ?

20 mL of 0.1 M H2SO4 solution is added to 30 mL of of 0.2 M NH4OH solution. The pH of the resultant mixture is : [pkb of

According to molecular orbital theory, which of the following is true with respect to Li2+ and Li2$$-$$ ?

Aluminium is usually found in +3 oxidation state. In contrast, thallium exists in + 1 and + 3 oxidation states. This is

In general, the properties that decrease and increase down a group in the periodic table, respectively, are :

The highest value of the calculated spin only magnetic moment (in BM) among all the transition metal complexes is :

The increasing order of pka of the following amino acids in aqueous solution is : Gly, Asp, Lys, Arg

Let $${a_1},{a_2},.......,{a_{30}}$$ be an A.P., $$S = \sum\limits_{i = 1}^{30} {{a_i}} $$ and $$T = \sum\limits_{i = 1}

If $$A = \left[ {\matrix{ {\cos \theta } & { - \sin \theta } \cr {\sin \theta } & {\cos \theta } \cr

For any $$\theta \in \left( {{\pi \over 4},{\pi \over 2}} \right)$$, the expression $$3{(\cos \theta - \sin \theta

The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2x + 3y + (a2 – 1) z = a + 1 then

The maximum volume (in cu.m) of the right circular cone having slant height 3 m is :

If $${\cos ^{ - 1}}\left( {{2 \over {3x}}} \right) + {\cos ^{ - 1}}\left( {{3 \over {4x}}} \right) = {\pi \over 2}$$ (x

Let $$0 < \theta < {\pi \over 2}$$. If the eccentricity of the hyperbola $${{{x^2}} \over {{{\cos }^2}\theta }}

If y = y(x) is the solution of the differential equation, x$$dy \over dx$$ + 2y = x2, satisfying y(1) = 1, then y($$1\o

Let A = $$\left\{ {\theta \in \left( { - {\pi \over 2},\pi } \right):{{3 + 2i\sin \theta } \over {1 - 2i\sin \theta }}

For $$x \in R - \left\{ {0,1} \right\}$$, Let f1(x) = $$1\over x$$, f2 (x) = 1 – x and f3 (x) = $$1 \over {1 - x}$$ be

Axis of a parabola lies along x-axis. If its vertex and focus are at distances 2 and 4 respectively from the origin, on

$$\mathop {\lim }\limits_{y \to 0} {{\sqrt {1 + \sqrt {1 + {y^4}} } - \sqrt 2 } \over {{y^4}}}$$

If a, b, c be three distinct real numbers in G.P. and a + b + c = xb , then x cannot be

5 students of a class have an average height 150 cm and variance 18 cm2. A new student, whose height is 156 cm, joined t

If the fractional part of the number $$\left\{ {{{{2^{403}}} \over {15}}} \right\} is \, {k \over {15}}$$, then k is equ

Let f : R $$ \to $$ R be a function defined as $$f(x) = \left\{ {\matrix{ 5 & ; & {x \le 1} \cr {a + bx

For x2 $$ \ne $$ n$$\pi $$ + 1, n $$ \in $$ N (the set of natural numbers), the integral $$\int {x\sqrt {{{2\sin ({x^2}

Consider a class of 5 girls and 7 boys. The number of different teams consisting of 2 girls and 3 boys that can be forme

Let $$\alpha $$ and $$\beta $$ be two roots of the equation x2 + 2x + 2 = 0 , then $$\alpha ^{15}$$ + $$\beta ^{15}$$ is

The value of $$\int\limits_0^\pi {{{\left| {\cos x} \right|}^3}} \,dx$$ is :

The area (in sq. units) bounded by the parabolae y = x2 – 1, the tangent at the point (2, 3) to it and the y-axis is :

If $$\theta $$ denotes the acute angle between the curves, y = 10 – x2 and y = 2 + x2 at a point of their intersection,

Mobility of electrons in a semiconductor is defined as the ratio of their drift velocity to the applied electric field.

A bar magnet is demagnetized by inserting it inside a solenoid of length 0.2 m, 100 turns, and carrying a current of 5.2

Drift speed of electrons, when 1.5 A of current flows in a copper wire of cross section 5 mm2, is $$\upsilon $$. If the

A parallel plate capacitor is made of two square plates of side 'a', separated by a distance d (d < < a). The lowe

A rod, of length L at room temperature and uniform area of cross section A, is made of a metal having coefficient of lin

A gas can be taken from A to B via two different processes ACB and ADB. When path ACB is used 60 J of heat flows into

A plane electromagnetic wave of frequency 50 MHz travels in free space along the positive x-direction. At a particular

A particle is moving with a velocity $$\overrightarrow v \, = K(y\widehat i + x\widehat j),$$ where K is a constant. Th

Three blocks A, B and C are lying on a smooth horizontal surface, as shown in the figure. A and B have equal masses, m w

If the angular momentum of a planet of mass m, moving around the Sun in a circular orbit is L, about the center of the S

An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. The r

Two masses m and $${m \over 2}$$ are connected at the two ends of a massless rigid rod of length l. The rod is suspended

A conducting circular loop made of a thin wire, has area 3.5 $$ \times $$ 10$$-$$3 m2 and resistance 10 $$\Omega $$. It

A block of mass m, lying on a smooth horizontal surface, is attached to a sring (of negligible mass) of spring constant

A copper wire is stretched to make it 0.5% longer. The percentage change in its electrical resistance if its volume rema

Consider a tank made of glass(refractive index 1.5) with a thick bottom. It is filled with a liquid of refractive index

A heavy ball of mass M is suspendeed from the ceiling of a car by a light string of mass m (m < < M). When the car

For a uniformly charged ring of radius R, the electric field on its axis has the largest magnitude at a distance h from

Surface of certain metal is first illuminated with light of wavelength $$\lambda $$1 = 350 nm and then, by light of wave

An L-shaped object, made of thin rods of uniform mass density, is suspended with a string as shown in figure. If AB = BC

Temperature difference of 120oC is maintained between ends of a uniform rod AB of length 2L. Another bent rod PQ, of sam

Two coherent sources produce waves of different intensities which interfere. After interference, the ratio of the maximu

When the switch S, in the circuit shown, is closed, then the value of current i will be :

Three charges + Q, q, + Q are placed respectively, at distance, 0, d/2 and d from the origin, on the x-axis. If the net

A block of mass 10 kg is kept on a rough inclined plane as shown in the figure. A force of 3 N is applied on the block.

A convex lens is put 10 cm from a light source and it makes a sharp image on a screen, kept 10 cm from the lens. Now a g

A current loop, having two circular arcs joined by two radial lines is shown in the figure. It carries a current of 10 A

A mixture of 2 moles of helium gas (atomic mass = 4 u), and 1 mole of argon gas (atomic mass = 40 u) is kept at 300 K in