The electrode potential of M2+/M of 3d-series elements shows positive value for :

Which of the following reagent is used for the following reaction ? $$ \mathrm{CH}_3 \mathrm{CH}_2 \mathrm{CH}_3 \stackr

The gas released during anaerobic degradation of vegetation may lead to :

Which of the following are isostructural pairs ? A. $$SO_4^{2 - }$$ and $$CrO_4^{2 - }$$ B. SiCl4, and TiCl4 C. NH3 and

Consider the elements Mg, Al, S, P and Si, the correct increasing order of their first ionization enthalpy is :

Out of the following, which type of interaction is reponsible for the stabilisation of $$\alpha $$-helix structure of pr

The major components in "Gun Metal” are :

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Which of the following compound gives pink colour on reaction with phthalic anhydride in conc. H2SO4 followed by treatme

(A) HOCI + H2O2 → H3O+ + Cl- + O2 (B) I2 + H2O2 + 2OH- → 2I- + 2H2O + O2 Choose the correct option.

Given below are two statements : Statement I : Colourless cupric metaborate is reduced to cuprous metaborate in a lumino

Which of the following ore is concentrated using group 1 cyanide salt ?

In the following reaction the reason why meta-nitro product also formed is :

What is the major product formed by HI on reaction with

Al2O3 was leached with alkali to get X. The solution of X on passing of gas Y, forms Z. X, Y and Z respectively are :

'A' and 'B' in the following reactions are :

Identify products A and B.

In Freundlich adsorption isotherm, slope of AB line is :

What is the final product (major) 'A' in the given reaction ?

The product formed in the first step of the reaction of with excess $$\mathrm{Mg/Et_2O}$$ ($$\mathrm{Et=C_2H_5}$$) is

Number of amphoteric compounds among the following is ________. (A) BeO (B) BaO (C) Be(OH)2 (D) Sr(OH)2

The coordination number of an atom in a body-centered cubic structure is _______. [Assume that the lattice is made up of

The stepwise formation of $${\left[ {Cu{{\left( {N{H_3}} \right)}_4}} \right]^{2 + }}$$ is given below: The value of st

A proton and a Li3+ nucleus are accelerated by the same potential. If $$\lambda _{Li}$$ and $$\lambda _p$$ denote the de

At 1990 K and 1 atm pressure, there are equal number of Cl2, molecules and Cl atoms in the reaction mixture. The value o

When 9.45 g of CICH2COOH is added to 500 mL of water, its freezing point drops by 0.5°C. The dissociation constant of CI

4.5 g of compound A (MW = 90) was used to make 250 mL of its aqueous solution. The molarity of the solution in M is x $$

The reaction of sulphur in alkaline medium is given below: The values of 'a' is _______. (Integer answer)

For the reaction A(g) $$ \to $$ B(g) the value of the equilibrium constant at 300 K and 1 atm is equal to 100.0. The val

Gaseous cyclobutene isomerises to butadiene in a first order process which has a 'k' value of 3.3 $$ \times $$ 10-4 s-1

If $$\int {{{\cos x - \sin x} \over {\sqrt {8 - \sin 2x} }}} dx = a{\sin ^{ - 1}}\left( {{{\sin x + \cos x} \over b}} \r

The equation of the plane passing through the point (1, 2, -3) and perpendicular to the planes 3x + y - 2z = 5 and 2x -

If f : R $$ \to $$ R is a function defined by f(x)= [x - 1] $$\cos \left( {{{2x - 1} \over 2}} \right)\pi $$, where [.]

The distance of the point (1, 1, 9) from the point of intersection of the line $${{x - 3} \over 1} = {{y - 4} \over 2} =

The population P = P(t) at time 't' of a certain species follows the differential equation $${{dP} \over {dt}}$$ = 0.5P

Let f : R → R be defined as f (x) = 2x – 1 and g : R - {1} → R be defined as g(x) = $${{x - {1 \over 2}} \over {x - 1}}$

The function f(x) = $${{4{x^3} - 3{x^2}} \over 6} - 2\sin x + \left( {2x - 1} \right)\cos x$$ :

$$\mathop {\lim }\limits_{x \to 0} {{\int\limits_0^{{x^2}} {\left( {\sin \sqrt t } \right)dt} } \over {{x^3}}}$$ is equa

The value of -15C1 + 2.15C2 – 3.15C3 + ... - 15.15C15 + 14C1 + 14C3 + 14C5 + ...+ 14C11 is :

A scientific committee is to be formed from 6 Indians and 8 foreigners, which includes at least 2 Indians and double the

A man is walking on a straight line. The arithmetic mean of the reciprocals of the intercepts of this line on the coordi

Two vertical poles are 150 m apart and the height of one is three times that of the other. If from the middle point of t

Let p and q be two positive numbers such that p + q = 2 and p4+q4 = 272. Then p and q are roots of the equation :

The area (in sq. units) of the part of the circle x2 + y2 = 36, which is outside the parabola y2 = 9x, is :

If the tangent to the curve y = x3 at the point P(t, t3) meets the curve again at Q, then the ordinate of the point whic

If $${e^{\left( {{{\cos }^2}x + {{\cos }^4}x + {{\cos }^6}x + ...\infty } \right){{\log }_e}2}}$$ satisfies the equation

An ordinary dice is rolled for a certain number of times. If the probability of getting an odd number 2 times is equal t

The locus of the mid-point of the line segment joining the focus of the parabola y2 = 4ax to a moving point of the parab

The system of linear equations 3x - 2y - kz = 10 2x - 4y - 2z = 6 x+2y - z = 5m is inconsistent if :

The statement among the following that is a tautology is :

Let P = $$\left[ {\matrix{ 3 & { - 1} & { - 2} \cr 2 & 0 & \alpha \cr 3 & { - 5} &

The minimum value of $$\alpha $$ for which the equation $${4 \over {\sin x}} + {1 \over {1 - \sin x}} = \alpha $$ has a

If the least and the largest real values of a, for which the equation z + $$\alpha $$|z – 1| + 2i = 0 (z $$ \in $$ C and

Let three vectors $$\overrightarrow a ,\overrightarrow b $$ and $$\overrightarrow c $$ be such that $$\overrightarr

$$\mathop {\lim }\limits_{n \to \infty } \tan \left\{ {\sum\limits_{r = 1}^n {{{\tan }^{ - 1}}\left( {{1 \over {1 + r +

Let  A = {n $$ \in $$ N: n is a 3-digit number}        B = {9k + 2: k $$ \in $$

If one of the diameters of the circle x2 + y2 - 2x - 6y + 6 = 0 is a chord of another circle 'C', whose center is at (2,

If $$\int\limits_{ - a}^a {\left( {\left| x \right| + \left| {x - 2} \right|} \right)} dx = 22$$, (a > 2) and [x] den

Let M be any 3 $$ \times $$ 3 matrix with entries from the set {0, 1, 2}. The maximum number of such matrices, for which

Let Bi (i = 1, 2, 3) be three independent events in a sample space. The probability that only B1 occur is $$\alpha $$, o

A cube of side 'a' has point charges +Q located at each of its vertices except at the origin where the charge is $$-$$Q.

In the given figure, a mass M is attached to a horizontal spring which is fixed on one side to a rigid support. The spri

A current through a wire depends on time as i = $$\alpha$$0t + $$\beta$$t2where $$\alpha$$0 = 20 A/s and $$\beta$$ = 8 A

Match List I with List II. List I List II (a) Isothermal (i) Pressure cons

n mole of a perfect gas undergoes a cyclic process ABCA (see figure) consisting of the following processes.A $$ \to $$ B

Each side of a box made of metal sheet in cubic shape is 'a' at room temperature 'T', the coefficient of linear expansio

A cell E1 of emf 6V and internal resistance 2$$\Omega$$ is connected with another cell E2 of emf 4V and internal resista

The focal length f is related to the radius of curvature r of the spherical convex mirror by :

In a Young's double slit experiment, the width of the one of the slit is three times the other slit. The amplitude of th

Four identical particles of equal masses 1 kg made to move along the circumference of a circle of radius 1 m under the a

Consider two satellites S1 and S2 with periods of revolution 1 hr. and 8 hr. respectively revolving around a planet in c

If Y, K and $$\eta $$ are the values of Young's modulus, bulk modulus and modulus of rigidity of any material respective

If the velocity-time graph has the shape AMB, what would be the shape of the corresponding acceleration-time graph?

In the given figure, the energy levels of hydrogen atom have been shown along with some transitions marked A, B, C, D an

The work done by a gas molecule in an isolated system is given by, $$W = \alpha {\beta ^2}{e^{ - {{{x^2}} \over {\alpha

Two stars of masses m and 2m at a distance d rotate about their common centre of mass in free space. The period of revol

If an emitter current is changed by 4 mA, the collector current changes by 3.5 mA. The value of $$\beta$$ will be :

Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in the t

Moment of inertia (M. I.) of four bodies, having same mass and radius, are reported as; I1 = M.I. of thin circular ring

An unpolarised light beam is incident on the polarizer of a polarization experiment and the intensity of light beam emer

A ball with a speed of 9 m/s collides with another identical ball at rest. After the collision, the direction of each ba

An audio signal vm = 20 sin 2$$\pi$$(1500t) amplitude modulates a carrier vc = 80 sin 2$$\pi$$(100,000t).The value of pe

An electromagnetic wave of frequency 5 GHz, is travelling in a medium whose relative electric permittivity and relative

A hydraulic press can lift 100 kg when a mass 'm' is placed on the smaller piston. It can lift ___________ kg when the d

An inclined plane is bent in such a way that the vertical cross-section is given by $$y = {{{x^2}} \over 4}$$ where y is

A common transistor radio set requires 12 V (D.C.) for its operation. The D.C. source is constructed by using a transfor

The coefficient of static friction between a wooden block of mass 0.5 kg and a vertical rough wall is 0.2. The magnitude

A resonance circuit having inductance and resistance 2 $$\times$$ 10$$-$$4 H and 6.28$$\Omega$$ respectively oscillates

In connection with the circuit drawn below, the value of current flowing through 2 k$$\Omega$$ resistor is _________ $$\

Given below are two statements : Statement I : Two photons having equal linear momenta have equal wavelengths.Statement