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

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

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

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

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

What is the major product formed by HI on reaction with

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

Identify products A and B.

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 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

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

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

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

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

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 :

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

$$\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

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 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

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