The strengths of 5.6 volume hydrogen peroxide (of density 1 g/mL) in terms of mass percentage and molarity (M), respecti

Among the statements (I – IV), the correct ones are: (I) Be has smaller atomic radius compared to Mg. (II) Be has higher

Consider the hypothetical situation where the azimuthal quantum number, $$l$$, takes values 0, 1, 2, ....., n + 1, where

The five successive ionization enthalpies of an element are 800, 2427, 3658, 25024 and 32824 kJ mol–1. The number of val

Three isomers A, B and C (mol. formula C8H11N) give the following results : R has lower boiling point than S A, B and

A mixture of one mole each of H2 , He and O2 each are enclosed in a cylinder of volume V at temperature T. If the partia

100 mL of 0.1 M HCl is taken in a beaker and to it 100 mL of 0.1 M NaOH is added in steps of 2 mL and the pH is continuo

The incorrect statement(s) among (a) – (d) regarding acid rain is (are) : (a) It can corrode water pipes. (b) It can dam

An ionic micelle is formed on the addition of :

The d-electron configuration of [Ru(en)3 ]Cl2 and [Fe(H2O)6]Cl2 , respectively are :

The major product in the following reaction is :

The decreasing order of reactivity of the following compounds towards nucleophilic substitution (SN2) is :

The increasing order of the reactivity of the following compound in nucleophilic addition reaction is : Propanal, Benzal

The incorrect statement is :

The compound A in the following reaction is :

Consider the following molecules and statements related to them : (a) (B) is more likely to be crystalline than (A) (b)

Complex A has a composition of H12O6Cl3Cr. If the complex on treatment with conc.H2SO4 loses 13.5% of its original mass

For the reaction 2A + 3B + $${3 \over 2}$$C $$ \to $$ 3P, which statement is correct ?

Consider the following reaction : The product 'P' gives positive ceric ammonium nitrate test. This is because of the pr

Match the following drugs with their therapeutic actions : .tg {border-collapse:collapse;border-spacing:0;} .tg td{bor

An acidic solution of dichromate is electrolyzed for 8 minutes using 2A current. As per the following equation Cr2O72-

The volume (in mL) of 0.1 N NaOH required to neutralise 10 mL of 0.1 N phosphinic acid is ___________.

If 250 cm3 of an aqueous solution containing 0.73 g of a protein A is isotonic with one litre of another aqueous soluti

6.023 $$ \times $$ 1022 molecules are present in 10 g of a substance 'x'. The molarity of a solution containing 5 g of s

The number of groups present in a tripeptide Asp–Glu–Lys is ____.

If the value of the integral $$\int\limits_0^{{1 \over 2}} {{{{x^2}} \over {{{\left( {1 - {x^2}} \right)}^{{3 \over 2}}

Let R1 and R2 be two relation defined as follows : R1 = {(a, b) $$ \in $$ R2 : a2 + b2 $$ \in $$ Q} and R2 = {(a,

Let the latus ractum of the parabola y2 = 4x be the common chord to the circles C1 and C2 each of them having radius 2

Let p, q, r be three statements such that the truth value of (p $$ \wedge $$ q) $$ \to $$ ($$ \sim $$q $$ \vee $$ r) is

Let a, b c $$ \in $$ R be such that a2 + b2 + c2 = 1. If $$a\cos \theta = b\cos \left( {\theta + {{2\pi } \over 3}}

Suppose f(x) is a polynomial of degree four, having critical points at –1, 0, 1. If T = {x $$ \in $$ R | f(x) = f(0)},

Let e1 and e2 be the eccentricities of the ellipse, $${{{x^2}} \over {25}} + {{{y^2}} \over {{b^2}}} = 1$$(b < 5) a

The set of all real values of $$\lambda $$ for which the quadratic equations, ($$\lambda $$2 + 1)x2 – 4$$\lambda $$x +

If the sum of the series 20 + 19$${3 \over 5}$$ + 19$${1 \over 5}$$ + 18$${4 \over 5}$$ + ... upto nth term is 488 and t

If the term independent of x in the expansion of $${\left( {{3 \over 2}{x^2} - {1 \over {3x}}} \right)^9}$$ is k, then 1

Let A be a 3 $$ \times $$ 3 matrix such that adj A = $$\left[ {\matrix{ 2 & { - 1} & 1 \cr { - 1} &

If $$\int {{{\sin }^{ - 1}}\left( {\sqrt {{x \over {1 + x}}} } \right)} dx$$ = A(x)$${\tan ^{ - 1}}\left( {\sqrt x } \ri

If z1 , z2 are complex numbers such that Re(z1) = |z1 – 1|, Re(z2) = |z2 – 1| , and arg(z1 - z2) = $${\pi \over 6}$$,

Let xi (1 $$ \le $$ i $$ \le $$ 10) be ten observations of a random variable X. If $$\sum\limits_{i = 1}^{10} {\left( {

If a $$\Delta $$ABC has vertices A(–1, 7), B(–7, 1) and C(5, –5), then its orthocentre has coordinates :

The plane which bisects the line joining, the points (4, –2, 3) and (2, 4, –1) at right angles also passes through the p

If the surface area of a cube is increasing at a rate of 3.6 cm2/sec, retaining its shape; then the rate of change of it

$$\mathop {\lim }\limits_{x \to a} {{{{\left( {a + 2x} \right)}^{{1 \over 3}}} - {{\left( {3x} \right)}^{{1 \over 3}}}}

If x3dy + xy dx = x2dy + 2y dx; y(2) = e and x > 1, then y(4) is equal to :

The probability that a randomly chosen 5-digit number is made from exactly two digits is :

The total number of 3-digit numbers, whose sum of digits is 10, is __________.

Let a plane P contain two lines $$\overrightarrow r = \widehat i + \lambda \left( {\widehat i + \widehat j} \right)$$,

If m arithmetic means (A.Ms) and three geometric means (G.Ms) are inserted between 3 and 243 such that 4th A.M. is equal

Let S be the set of all integer solutions, (x, y, z), of the system of equations x – 2y + 5z = 0 –2x + 4y + z = 0 –7x +

If the tangent to the curve, y = ex at a point (c, ec) and the normal to the parabola, y2 = 4x at the point (1, 2) inte

A block of mass m attached to a massless spring is performing oscillatory motion of amplitude ‘A’ on a frictionless hori

The mass density of a planet of radius R varies with the distance r from its centre as $$\rho $$(r) = $${\rho _0}\left(

Two sources of light emit X-rays of wavelength 1 nm and visible light of wavelength 500 nm, respectively. Both the sourc

Amount of solar energy received on the earth’s surface per unit area per unit time is defined a solar constant. Dimensio

A particle is moving unidirectionally on a horizontal plane under the action of a constant power supplying energy source

If a semiconductor photodiode can detect a photon with a maximum wavelength of 400 nm, then its band gap energy is : Pla

Which of the following will NOT be observed when a multimeter (operating in resistance measuring mode) probes connected

A uniform rod of length ‘$$l$$’ is pivoted at one of its ends on a vertical shaft of negligible radius. When the shaft r

Two resistors 400$$\Omega $$ and 800$$\Omega $$ are connected in series across a 6 V battery. The potential difference

A metallic sphere cools from 50oC to 40o in 300 s. If atmospheric temperature around is 20oC, then the sphere’s temperat

A block of mass 1.9 kg is at rest at the edge of a table, of height 1 m. A bullet of mass 0.1 kg collides with the block

The radius R of a nucleus of mass number A can be estimated by the formula R = (1.3 $$ \times $$ 10–15)A1/3 m. It follow

A uniform magnetic field B exists in a direction perpendicular to the plane of a square loop made of a metal wire. The w

To raise the temperature of a certain mass of gas by 50oC at a constant pressure, 160 calories of heat is required. When

Concentric metallic hollow spheres of radii R and 4R hold charges Q1 and Q2 respectively. Given that surface charge de

A perfectly diamagnetic sphere has a small spherical cavity at its centre, which is filled with a paramagnetic substance

The electric field of a plane electromagnetic wave propagating along the x direction in vacuum is $$\overrightarrow E =

Two light waves having the same wavelength $$\lambda $$ in vacuum are in phase initially. Then the first wave travels a

Hydrogen ion and singly ionized helium atom are accelerated, from rest, through the same potential difference. The ratio

If minimum possible work is done by a refrigerator in converting 100 grams of water at 0oC to ice, how much heat (in cal

A calorimeter of water equivalent 20 g contains 180 g of water at 25oC. ‘m’ grams of steam at 100oC is mixed in it till

An massless equilateral triangle EFG of side ‘a’ (As shown in figure) has three particles of mass m situated at its vert

When an object is kept at a distance of 30 cm from a concave mirror, the image is formed at a distance of 10 cm from the

A block starts moving up an inclined plane of inclination 30o with an initial velocity of v0 . It comes back to its init

A galvanometer coil has 500 turns and each turn has an average area of 3 $$ \times $$ 10–4 m2 . If a torque of 1.5 Nm is