Upon heating with Cu2S, the reagent(s) that give copper metal is/are

In a galvanic cell, the salt bridge

A compound H2X with molar weight of 80g is dissolved in a solvent having density of 0.4 gml–1 . Assuming no change in vo

MX2 dissociates in M2+ and X- ions in an aqueous solution, with a degree of dissociation ($$\alpha$$) of 0.5. The ratio

A list of species having the formula XZ4 is given below. XeF4, SF4 ,SiF4, $$BF_4^-$$, $$BrF_4^-$$, [Cu(NH3)4]2+, [FeCl4]

In an atom, the total number of electrons having quantum numbers n = 4, |ml| = 1 and ms = –1/2 is

If the value of Avogadro number is 6.023 $$\times$$ 1023 mol-1 and the value of Boltzmann constant is 1.380 $$\times$$ 1

For the reaction,$${I^ - } + ClO_3^ - + {H_2}S{O_4} \to C{l^ - } + HSO_4^ - + {I_2}$$the correct statement(s) in the b

The pair(s) of reagents that yield paramagnetic species is/are

In the reaction shown below, the major product(s) formed is/are

Hydrogen bonding plays a central role in the following phenomena

The reactivity of compound Z with different halogens under appropriate conditions is given belowThe observed pattern of

The correct combination of names for isomeric alcohols with molecular formula C4H10O is/are

An ideal gas in thermally insulated vessel at internal pressure = p1, volume = V1 and absolute temperature = T1 expands

The correct statement(s) for orthoboric acid is/are

The total number of distinct naturally occurring amino acids obtained by complete acidic hydrolysis of the peptide shown

Consider the following list of reagents, acidified K2Cr2O7, alkaline KMnO4, CuSO4, H2O2, Cl2, O3, FeCl3, HNO3 and Na2S2O

The total number(s) of stable conformers with non-zero dipole moment for the following compound is(are)

Among PbS, CuS, HgS, MnS, Ag2S, NiS, CoS, Bi2S3 and SnS2 the total number of black coloured sulphides is

Consider all possible isomeric ketones including stereoisomers of MW = 100. All these isomers are independently reacted

Let $${n \ge 2}$$ be an integer. Take n distinct points on a circle and join each pair of points by a line segment. Colo

A circle S passes through the point (0, 1) and is orthogonal to the circles $${(x - 1)^2}\, + \,{y^2} = 16\,\,and\,\,{x^

Let $${n_1}\, < {n_2}\, < \,{n_3}\, < \,{n_4}\, < {n_5}$$ be positive integers such that $${n_1}\, + {n_2}\,

Let a, b, c be positive integers such that $${b \over a}$$ is an integer. If a, b, c are in geometric progression and th

For a point $$P$$ in the plane, Let $${d_1}\left( P \right)$$ and $${d_2}\left( P \right)$$ be the distance of the point

Let $$f:\left( {0,\infty } \right) \to R$$ be given by $$f\left( x \right) $$= $$\int\limits_{{1 \over x}}^x {{{{e^{ - \

The slope of the tangent to the curve $${\left( {y - {x^5}} \right)^2} = x{\left( {1 + {x^2}} \right)^2}$$ at the point

The value of $$\int\limits_0^1 {4{x^3}\left\{ {{{{d^2}} \over {d{x^2}}}{{\left( {1 - {x^2}} \right)}^5}} \right\}dx} $$

From a point $$P\left( {\lambda ,\lambda ,\lambda } \right),$$ perpendicular $$PQ$$ and $$PR$$ are drawn respectively on

Let $$\overrightarrow x ,\overrightarrow y $$ and $$\overrightarrow z $$ be three vectors each of magnitude $$\sqrt 2 $$

Let $$\overrightarrow a \,\,,\,\,\overrightarrow b $$ and $$\overrightarrow c $$ be three non-coplanar unit vectors such

Let $$f:(a,b) \to [1,\infty )$$ be a continuous function and g : R $$\to$$ R be defined as $$g(x) = \left\{ {\matrix{

For every pair of continuous function f, g : [0, 1] $$\to$$ R such that max {f(x) : x $$\in$$ [0, 1]} = max {g(x) : x $$

Let M be a 2 $$\times$$ 2 symmetric matrix with integer entries. Then, M is invertible, if

Let M and N be two 3 $$\times$$ 3 matrices such that MN = NM. Further, if M $$\ne$$ N2 and M2 = N4, then

Let $$f:\left( { - {\pi \over 2},{\pi \over 2}} \right) \to R$$ be given by $$f(x) = {[\log (\sec x + \tan x)]^3}$$. T

Let a $$\in$$ R and f : R $$\to$$ R be given by f(x) = x5 $$-$$ 5x + a. Then,

Let f : [0, 4$$\pi$$] $$\to$$ [0, $$\pi$$] be defined by f(x) = cos$$-$$1 (cos x). The number of points x $$\in$$ [0, 4$

The largest value of the non-negative integer a for which $$\mathop {\lim }\limits_{x \to 1} {\left\{ {{{ - ax + \sin (x

Let f : R $$\to$$ R and g : R $$\to$$ R be respectively given by f(x) = | x | + 1 and g(x) = x2 + 1. Define h : R $$\to$

Airplanes A and B are flying with constant velocity in the same vertical plane at angles $$30^\circ $$ and $$60^\circ $$

A parallel plate capacitor has a dielectric slab of dielectric constant $$K$$ between its plates that covers $$1/3$$ of

Let $${E_1}\left( r \right),{E_2}\left( r \right)$$ and $${E_3}\left( r \right)$$ be the respective electric field at a

Consider an elliptically shaped rail PQ in the vertical plane with OP = 3 m and OQ = 4 m. A block of mass 1 kg is pulled

A rocket is moving in a gravity free space with a constant acceleration of 2 ms–2 along + x direction (see figure). The

To find the distance d over which a signal can be seen clearly in foggy conditions, a railways engineer uses dimensional

During Searle's experiment, zero of the Vernier scale lies between 3.20 $$ \times $$ 10-2 m and 3.25 $$ \times $$ 10-2 m

At time t = 0, terminal A in the circuit shown in the figure is connected to B by a key and an alternating current I(t)

A light source, width emits two wavelengths $$\lambda$$1 = 400 nm and $$\lambda$$2 = 600 nm, is used in a Young's double

One end of a taut string of length 3 m along the x-axis is fixed at x = 0. The speed of the waves in the string is 100 m

A student is performing an experiment using a resonance column and a tuning fork of frequency 244 s$$-$$1. He is told th

Heater of an electric kettle is made of a wire of length L and diameter d. It takes 4 minutes to raise the temperature o

In the figure, a ladder of mass m is shown leaning against a wall. It is in static equilibrium making an angle $$\theta$

A transparent thin film of uniform thickness and refractive index n1 = 1.4 is coated on the convex spherical surface of

Two ideal batteries of emf V1 and V2 and three resistances R1, R2 and R3 are connected as shown in the figure. The curre

A uniform circular disc of mass 1.5 kg and radius 0.5 m is initially at rest on a horizontal frictionless surface. Three

Two parallel wires in the plane of the paper are distance X0 apart. A point charge is moving with speed u between the wi

A galvanometer gives full scale deflection with 0.006 A current. By connecting it to a 4990 $$\Omega$$ resistance, it ca

A horizontal circular platform of radius 0.5 m and mass 0.45 kg is free to rotate about its axis. Two massless spring t

A thermodynamic system is taken from an initial state i with internal energy Ui = 100 J to the final state f along two d