Which one of the following statements is not true?

Match the following compounds (Column-I) with their uses (Column-II) : .tg {border-collapse:collapse;border-spacing:0;

The reaction of NO with N2O4 at 250 K gives :

The correct match between Item - I and Item - II is : .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-c

The IUPAC name of the following compound is :

Reaction of an inorganic sulphite X with dilute H2SO4 generates compound Y. Reaction of Y with NaOH gives X. Further, th

Which of the following compounds can be prepared in good yield by Gabriel phthalimide synthesis?

Mischmetal is an alloy consisting mainly of :

The average molar mass of chlorine is 35.5 g mol–1. The ratio of 35Cl to 37Cl in naturally occuring chlorine is close to

A crystal is made up of metal ions 'M1' and 'M2' and oxide ions. Oxide ions form a ccp lattice structure. The cation 'M1

The correct match between Item-I (starting material) and Item-II (reagent) for the preparation of benzaldehyde is : .tg

For a reaction, 4M(s) + nO2(g) $$ \to $$ 2M2On(s) the free energy change is plotted as a function of temperature. The te

For the given cell : Cu(s) | Cu2+(C1M) || Cu2+(C2M) | Cu(s) change in Gibbs energy ($$\Delta $$G) is negative, if :

A set of solutions is prepared using 180 g of water as a solvent and 10 g of different nonvolatile solutes A, B and C. T

The value of KC is 64 at 800 K for the reaction N2(g) + 3H2(g) ⇌ 2NH3(g) The value of KC for the following reaction is :

The element that can be refined by distillation is :

Match the following : .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:solid;bo

The increasing order of the boiling points of the major products A, B and C of the following reactions will be :

For a d4 metal ion in an octahedral field, the correct electronic configuration is :

Dihydrogen of high purity (> 99.95%) is obtained through :

A solution of phenol in chloroform when treated with aqueous NaOH gives compound P as a major product. The mass percenta

For Freundlich adsorption isotherm, a plot of log (x/m) (y-axis) and log p (x-axis) gives a straight line. The intercept

If the solubility product of AB2 is 3.20 $$ \times $$ 10–11 M3, then the solubility of AB2 in pure water is _____ $$ \ti

The atomic number of Unnilunium is _______.

The rate of a reaction decreased by 3.555 times when the temperature was changed from 40oC to 30oC. The activation energ

If the normal at an end of a latus rectum of an ellipse passes through an extremity of the minor axis, then the eccentri

If $$\alpha $$ and $$\beta $$ are the roots of the equation 2x(2x + 1) = 1, then $$\beta $$ is equal to :

If $$y = \left( {{2 \over \pi }x - 1} \right) cosec\,x$$ is the solution of the differential equation, $${{dy} \over {d

The probabilities of three events A, B and C are given by P(A) = 0.6, P(B) = 0.4 and P(C) = 0.5. If P(A$$ \cup $$B) = 0.

The centre of the circle passing through the point (0, 1) and touching the parabola y = x2 at the point (2, 4) is :

The common difference of the A.P. b1, b2, … , bm is 2 more than the common difference of A.P. a1, a2, …, an. If a40 =

Let $$\theta = {\pi \over 5}$$ and $$A = \left[ {\matrix{ {\cos \theta } & {\sin \theta } \cr { - \sin \th

The angle of elevation of the summit of a mountain from a point on the ground is 45°. After climbing up one km towards t

If the constant term in the binomial expansion of $${\left( {\sqrt x - {k \over {{x^2}}}} \right)^{10}}$$ is 405, then

The set of all real values of $$\lambda $$ for which the function $$f(x) = \left( {1 - {{\cos }^2}x} \right)\left( {\lam

Let f : R $$ \to $$ R be a function defined by f(x) = max {x, x2}. Let S denote the set of all points in R, where f is n

Consider the statement : ‘‘For an integer n, if n3 – 1 is even, then n is odd.’’ The contrapositive statement of this st

For all twice differentiable functions f : R $$ \to $$ R, with f(0) = f(1) = f'(0) = 0

If the tangent to the curve, y = f (x) = xloge x, (x > 0) at a point (c, f(c)) is parallel to the line-segment joinin

The integral $$\int\limits_1^2 {{e^x}.{x^x}\left( {2 + {{\log }_e}x} \right)} dx$$ equals :

For a suitably chosen real constant a, let a function, $$f:R - \left\{ { - a} \right\} \to R$$ be defined by $$f(x) = {

Let z = x + iy be a non-zero complex number such that $${z^2} = i{\left| z \right|^2}$$, where i = $$\sqrt { - 1} $$ , t

The area (in sq. units) of the region enclosed by the curves y = x2 – 1 and y = 1 – x2 is equal to :

A plane P meets the coordinate axes at A, B and C respectively. The centroid of $$\Delta $$ABC is given to be (1, 1, 2).

Let L denote the line in the xy-plane with x and y intercepts as 3 and 1 respectively. Then the image of the point (–1,

The sum of distinct values of $$\lambda $$ for which the system of equations$$\left( {\lambda - 1} \right)x + \left( {3

The number of words (with or without meaning) that can be formed from all the letters of the word “LETTER” in which vowe

Suppose that a function f : R $$ \to $$ R satisfies f(x + y) = f(x)f(y) for all x, y $$ \in $$ R and f(1) = 3. If $$\sum

If $$\overrightarrow x $$ and $$\overrightarrow y $$ be two non-zero vectors such that $$\left| {\overrightarrow x + \o

Consider the data on x taking the values 0, 2, 4, 8,....., 2n with frequencies nC0 , nC1 , nC2 ,...., nCn respectively.

For a plane electromagnetic wave, the magnetic field at a point x and time t is $$\overrightarrow B \left( {x,t} \right)

Particle A of mass m1 moving with velocity $$\left( {\sqrt3\widehat i + \widehat j} \right)m{s^{ - 1}}$$ collides with

When a car is at rest, its driver sees rain drops falling on it vertically. When driving the car with speed v, he sees t

A double convex lens has power P and same radii of curvature R of both the surfaces. The radius of curvature of a surfac

A charged particle going around in a circle can be considered to be a current loop. A particle of mass m carrying charge

A square loop of side 2$$a$$ and carrying current I is kept in xz plane with its centre at origin. A long wire carrying

A circuit to verify Ohm's law uses ammeter and voltmeter in series or parallel connected correctly to the resistor. In t

In a dilute gas at pressure P and temperature T, the mean time between successive collisions of a molecule varies with T

A fluid is flowing through a horizontal pipe of varying cross-section, with speed v ms–1 at a point where the pressure i

Assuming the nitrogen molecule is moving with r.m.s. velocity at 400 K, the de-Broglie wavelength of nitrogen molecule i

The linear mass density of a thin rod AB of length L varies from A to B as $$\lambda \left( x \right) = {\lambda _0}\lef

Three rods of identical cross-section and lengths are made of three different materials of thermal conductivity K1 , K2

When a particle of mass m is attached to a vertical spring of spring constant k and released, its motion is described by

Two identical electric point dipoles have dipole moments $${\overrightarrow p _1} = p\widehat i$$ and $${\overrightarrow

Two planets have masses M and 16 M and their radii are $$a$$ and 2$$a$$, respectively. The separation between the centre

Consider the force F on a charge 'q' due to a uniformly charged spherical shell of radius R carrying charge Q distribute

A student measuring the diameter of a pencil of circular cross-section with the help of a vernier scale records the foll

In the figure shown, the current in the 10 V battery is close to :

Given the masses of various atomic particles mp = 1.0072 u, mn = 1.0087 u, me = 0.000548 u, $${m_{\overline v }}$$ = 0,

A particle moving in the xy plane experiences a velocity dependent force $$\overrightarrow F = k\left( {{v_y}\widehat i

A Young's double-slit experiment is performed using monochromatic light of wavelength $$\lambda $$. The intensity of lig

The centre of mass of solid hemisphere of radius 8 cm is x from the centre of the flat surface. Then value of x is _____

The output characteristics of a transistor is shown in the figure. When VCE is 10V and IC = 4.0 mA, then value of $$\be

In a series LR circuit, power of 400W is dissipated from a source of 250 V, 50 Hz. The power factor of the circuit is 0.

An engine operates by taking a monoatomic ideal gas through the cycle shown in the figure. The percentage efficiency of