The major product of the following reaction is :

The major product of the following reaction is : $${\rm{C}}{{\rm{H}}_3}{\rm{CH = CHC}}{{\rm{O}}_2}{\rm{CH_3 }}\buildrel

The increasing order of reactivity of the following compounds towards aromatic electrophilic substitution reaction is :

The major product of the following reaction is :

The standard Gibbs energy for the given cell reaction in kJ mol–1 at 298 K is : Zn(s) + Cu2+ (aq) $$ \to $$ Zn2+ (aq) +

Among the following, the set of parameters that represents path function, is : (A) q + w (B) q (C) w (D) H–TS

The osmotic pressure of a dilute solution of an ionic compound XY in water is four times that of a solution of 0.01 M Ba

The correct IUPAC name of the following compound is :

The given plots represent the variation of the concentration of a reactant R with time for two different reactions (i) a

For a reaction, N2(g) + 3H2(g) $$ \to $$ 2NH3(g) ; identify dihydrogen (H2) as a limiting reagent in the following react

The one that will show optical activity is : (en = ethane-1,2-diamine)

Among the following, the molecule expected to be stabilized by anion formation is : C2, O2, NO, F2

Which of the following statements is not true about sucrose?

The organic compound that gives following qualitative analysis is : .tg {border-collapse:collapse;border-spacing:0;wid

The major product of the following reaction is :

The degenerate orbitals of [Cr(H2O)6]3+ are :

The correct order of the oxidation states of nitrogen in NO, N2O, NO2 and N2O3 is :

The major product of the following reaction is :

For any given series of spectral lines of atomic hydrogen, let $$\Delta \mathop v\limits^\_ = $$ $$\Delta {\overline v

The element having greatest difference between its first and second ionization energies, is :

Aniline dissolved in dilute HCl is reacted with sodium nitrite at 0ºC. This solution was added dropwise to a solution co

Liquid 'M' and liquid 'N' form an ideal solution. The vapour pressures of pure liquids 'M' and 'N' are 450 and 700 mmHg,

If the standard deviation of the numbers –1, 0, 1, k is $$\sqrt 5$$ where k > 0, then k is equal to

Let p, q $$ \in $$ R. If 2 - $$\sqrt 3$$ is a root of the quadratic equation, x2 + px + q = 0, then :

Let ƒ(x) = 15 – |x – 10|; x $$ \in $$ R. Then the set of all values of x, at which the function, g(x) = ƒ(ƒ(x)) is not d

If ƒ(x) is a non-zero polynomial of degree four, having local extreme points at x = –1, 0, 1; then the set S = {x $$ \i

The value of $$\int\limits_0^{\pi /2} {{{{{\sin }^3}x} \over {\sin x + \cos x}}dx} $$ is

Let $$\overrightarrow \alpha = 3\widehat i + \widehat j$$ and $$\overrightarrow \beta = 2\widehat i - \widehat j + 3

All the points in the set $$S = \left\{ {{{\alpha + i} \over {\alpha - i}}:\alpha \in R} \right\}(i = \sqrt { - 1} )$

If $$\left[ {\matrix{ 1 & 1 \cr 0 & 1 \cr } } \right]\left[ {\matrix{ 1 & 2 \cr 0 &

If the function ƒ : R – {1, –1} $$ \to $$ A defined by ƒ(x) = $${{{x^2}} \over {1 - {x^2}}}$$ , is surjective, then A i

If one end of a focal chord of the parabola, y2 = 16x is at (1, 4), then the length of this focal chord is :

If the function ƒ defined on , $$\left( {{\pi \over 6},{\pi \over 3}} \right)$$ by $$$f(x) = \left\{ {\matrix{ {{{\

The value of cos210° – cos10°cos50° + cos250° is

Let $$\sum\limits_{k = 1}^{10} {f(a + k) = 16\left( {{2^{10}} - 1} \right)} $$ where the function ƒ satisfies ƒ(x + y)

Four persons can hit a target correctly with probabilities $${1 \over 2}$$, $${1 \over 3}$$, $${1 \over 4}$$ and $${1 \o

Let $$\alpha $$ and $$\beta $$ be the roots of the equation x2 + x + 1 = 0. Then for y $$ \ne $$ 0 in R, $$$\left| {\mat

The area (in sq. units) of the region A = {(x, y) : x2 $$ \le $$ y $$ \le $$ x + 2} is

Let the sum of the first n terms of a non-constant A.P., a1, a2, a3, ..... be $$50n + {{n(n - 7)} \over 2}A$$, where A i

The integral $$\int {{\rm{se}}{{\rm{c}}^{{\rm{2/ 3}}}}\,{\rm{x }}\,{\rm{cose}}{{\rm{c}}^{{\rm{4 / 3}}}}{\rm{x \,dx}}} $$

The solution of the differential equation $$x{{dy} \over {dx}} + 2y$$ = x2 (x $$ \ne $$ 0) with y(1) = 1, is :

If the fourth term in the binomial expansion of $${\left( {{2 \over x} + {x^{{{\log }_8}x}}} \right)^6}$$ (x > 0) is

A committee of 11 members is to be formed from 8 males and 5 females. If m is the number of ways the committee is formed

Slope of a line passing through P(2, 3) and intersecting the line, x + y = 7 at a distance of 4 units from P, is :

A concave mirror for face viewing has focal length of 0.4 m. The distance at which you hold the mirror from your face in

For a given gas at 1 atm pressure, rms speed of the molecule is 200 m/s at 127°C. At 2 atm pressure and at 227°C, the rm

A rectangular coil (Dimension 5 cm × 2.5 cm) with 100 turns, carrying a current of 3 A in the clock-wise direction is ke

If 'M' is the mass of water that rises in a capillary tube of radius 'r', then mass of water which will rise in a capill

Taking the wavelength of first Balmer line in hydrogen spectrum (n = 3 to n = 2) as 660 nm, the wavelength of the 2nd Ba

The magnetic field of a plane electromagnetic wave is given by : $$$\overline B = {B_0}\widehat i\left[ {\cos (kz - \om

A uniform cable of mass 'M' and length 'L' is placed on a horizontal surface such that its (1/n)th part is hanging below

A stationary horizontal disc is free to rotate about its axis. When a torque is applied on it, its kinetic energy as a f

A string is clamped at both the ends and it is vibrating in its 4th harmonic. The equation of the stationary wave is Y =

The following bodies are made to roll up (without slipping) the same inclined plane from a horizontal plane. : (i) a rin

A rigid square loop of side 'a' and carrying current I2 is lying on a horizontal surface near a long current I1 carrying

The figure shows a Young's double slit experimental setup. It is observed that when a thin transparent sheet of thicknes

A capacitor with capacitance 5μF is charged to 5μC. If the plates are pulled apart to reduce the capacitance to 2μF, how

A ball is thrown vertically up (taken as +z-axis) from the ground. The correct momentum-height (p-h) diagram is :

The total number of turns and cross-section area in a solenoid is fixed. However, its length L is varied by adjusting th

The electric field of light wave is given as $$$\overrightarrow E = {10^{ - 3}}\cos \left( {{{2\pi x} \over {5 \times {

A moving coil galvanometer has resistance 50$$\Omega $$ and it indicates full deflection at 4mA current. A voltmeter is

The pressure wave, P = 0.01 sin [1000t – 3x] Nm–2, corresponds to the sound produced by a vibrating blade on a day when

A solid sphere of mass 'M' and radius 'a' is surrounded by a uniform concentric spherical shell of thickness 2a and mass

The stream of a river is flowing with a speed of 2km/h. A swimmer can swim at a speed of 4km/h. What should be the direc

A system of three charges are placed as shown in the figure : If D >> d, the potential energy of the system is be

Determine the charge on the capacitor in the following circuit :

A body of mass 2 kg makes an eleastic collision with a second body at rest and continues to move in the original directi

A simple pendulum oscillating in air has period T. The bob of the pendulum is completely immersed in a non-viscous liqui

Following figure shows two processes A and B for a gas. If $$\Delta $$QA and $$\Delta $$QB are the amount of heat absorb

A wire of resistance R is bent to form a square ABCD as shown in the figure. The effective resistance between E and C is

An HCl molecule has rotational, translational and vibrational motions. If the rms velocity of HCl molecules in its gaseo

In the density measurement of a cube, the mass and edge length are measured as (10.00 ± 0.10) kg and (0.10 ± 0.01) m, re