The number of Cl = O bonds in perchloric acid is, "________".

The elevation of boiling point of 0.10 m aqueous CrCl3.xNH3 solution is two times that of 0.05 m aqueous CaCl2 solution.

Potassium chlorate is prepared by the electrolysis of KCl in basic solution 6OH- + Cl- $$ \to $$ ClO3- + 3H2O + 6e- If o

In an estimation of bromine by Carius method, 1.6 g of an organic compound gave 1.88 g of AgBr. The mass percentage of b

The set that contains atomic numbers of only transition elements, is :

Consider the following reactions 'A' is :

The variation of equilibrium constant with temperature is given below : .tg {border-collapse:collapse;border-spacing:0

Consider the following reactions A $$ \to $$ P1 ; B $$ \to $$ P2 ; C $$ \to $$ P3 ; D $$ \to $$ P4, The order of the abo

The correct statement with respect to dinitrogen is :

The major product obtained from the following reaction is :

Which of the following compounds shows geometrical isomerism?

The lanthanoid that does NOT show +4 oxidation state is :

The major products of the following reaction are :

The major product of the following reaction is :

The species that has a spin-only magnetic moment of 5.9 BM, is : (Td = tetrahedral)

Arrange the following solutions in the decreasing order of pOH : (A) 0.01 M HCl (B) 0.01 M NaOH (C) 0.01 M CH3COONa (D)

For the reaction Fe2N(s) + $${3 \over 2}$$H2(g) ⇌ 2Fe(s) + NH3(g)

A solution of two components containing n1 moles of the 1st component and n2 moles of the 2nd component is prepared. M1

The increasing order of pKb values of the following compounds is :

The area (in sq. units) of the region A = {(x, y) : |x| + |y| $$ \le $$ 1, 2y2 $$ \ge $$ |x|}

The general solution of the differential equation $$\sqrt {1 + {x^2} + {y^2} + {x^2}{y^2}} $$ + xy$${{dy} \over {dx}}$$

The region represented by {z = x + iy $$ \in $$ C : |z| – Re(z) $$ \le $$ 1} is also given by the inequality : {z = x +

Let a , b, c , d and p be any non zero distinct real numbers such that (a2 + b2 + c2)p2 – 2(ab + bc + cd)p + (b2 + c2 +

$$\mathop {\lim }\limits_{x \to 1} \left( {{{\int\limits_0^{{{\left( {x - 1} \right)}^2}} {t\cos \left( {{t^2}} \right)d

Set A has m elements and set B has n elements. If the total number of subsets of A is 112 more than the total number of

Let f : R $$ \to $$ R be defined as $$f\left( x \right) = \left\{ {\matrix{ {{x^5}\sin \left( {{1 \over x}} \right) +

If $$\overrightarrow a $$ and $$\overrightarrow b $$ are unit vectors, then the greatest value of $$\sqrt 3 \left| {\ove

If I1 = $$\int\limits_0^1 {{{\left( {1 - {x^{50}}} \right)}^{100}}} dx$$ and I2 = $$\int\limits_0^1 {{{\left( {1 - {x^{5

The position of a moving car at time t is given by f(t) = at2 + bt + c, t > 0, where a, b and c are real numbers grea

If $$\alpha $$ and $$\beta $$ be two roots of the equation x2 – 64x + 256 = 0. Then the value of $${\left( {{{{\alpha ^3

If $$\sum\limits_{i = 1}^n {\left( {{x_i} - a} \right)} = n$$ and $$\sum\limits_{i = 1}^n {{{\left( {{x_i} - a} \right)

If {p} denotes the fractional part of the number p, then $$\left\{ {{{{3^{200}}} \over 8}} \right\}$$, is equal to :

If f(x + y) = f(x)f(y) and $$\sum\limits_{x = 1}^\infty {f\left( x \right)} = 2$$ , x, y $$ \in $$ N, where N is the s

Out of 11 consecutive natural numbers if three numbers are selected at random (without repetition), then the probability

A ray of light coming from the point (2, $$2\sqrt 3 $$) is incident at an angle 30o on the line x = 1 at the point A. Th

The values of $$\lambda $$ and $$\mu $$ for which the system of linear equations x + y + z = 2 x + 2y + 3z = 5 x + 3y +

Let m and M be respectively the minimum and maximum values of $$\left| {\matrix{ {{{\cos }^2}x} & {1 + {{\sin }^2

Two families with three members each and one family with four members are to be seated in a row. In how many ways can th

Identify the correct output signal Y in the given combination of gates (as shown) for the given inputs A and B.

A particle of charge q and mass m is moving with a velocity $$ - v\widehat i$$ (v $$ \ne $$ 0) towards a large screen pl

Two bodies of the same mass are moving with the same speed, but in different directions in a plane. They have a complete

Molecules of an ideal gas are known to have three translational degrees of freedom and two rotational degrees of freedom

An object of mass m is suspended at the end of a massless wire of length L and area of crosssection A. Young modulus of

A point like object is placed at a distance of 1 m in front of a convex lens of focal length 0.5 m. A plane mirror is pl

An insect is at the bottom of a hemispherical ditch of radius 1 m. It crawls up the ditch but starts slipping after it i

In the figure below, P and Q are two equally intense coherent sources emitting radiation of wavelength 20 m. The separat

A clock has a continuously moving second's hand of 0.1 m length. The average acceleration of the tip of the hand (in uni

Charges Q1 and Q2 are at points A and B of a right angle triangle OAB (see figure). The resultant electric field at po

An electron is moving along +x direction with a velocity of 6 $$ \times $$ 106 ms–1. It enters a region of uniform elec

Shown in the figure is a hollow icecream cone (it is open at the top). If its mass is M, radius of its top, R and height

You are given that Mass of $${}_3^7Li$$ = 7.0160u, Mass of $${}_2^4He$$ = 4.0026u and Mass of $${}_1^1H$$ = 1.0079u. Whe

If the potential energy between two molecules is given by U = $$ - {A \over {{r^6}}} + {B \over {{r^{12}}}}$$, then at e

A satellite is in an elliptical orbit around a planet P. It is observed that the velocity of the satellite when it is fa

For the given input voltage waveform Vin(t), the output voltage waveform V0(t), across the capacitor is correctly depict

Four point masses, each of mass m, are fixed at the corners of a square of side $$l$$. The square is rotating with angul

A screw gauge has 50 divisions on its circular scale. The circular scale is 4 units ahead of the pitch scale marking, pr

An electron, a doubly ionized helium ion (He++) and a proton are having the same kinetic energy. The relation between th

A part of a complete circuit is shown in the figure. At some instant, the value of current I is 1A and it is decreasing

Initially a gas of diatomic molecules is contained in a cylinder of volume V1 at a pressure P1 and temperature 250 K.

The density of a solid metal sphere is determined by measuring its mass and its diameter. The maximum error in the densi

Suppose that intensity of a laser is $${{315} \over \pi }$$ W/m2. The rms electric field, in units of V/m associated wit