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

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

Mischmetal is an alloy consisting mainly of :

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

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

The IUPAC name of the following compound is :

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

The atomic number of Unnilunium is _______.

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

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

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

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

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

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 :

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

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

Which one of the following statements is not true?

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

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

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

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

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

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

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

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

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

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

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

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 =

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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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.

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 _____

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

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

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

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

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

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

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

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