Which one of the following statements for D.I. Mendeleeff, is incorrect?

Which purification technique is used for high boiling organic liquid compound (decomposes near its boiling point)?

Which of the following compounds will provide a tertiary alcohol or reaction with excess of CH3MgBr followed by hydrolys

Which of the following compounds does not exhibit resonance?

In the chemical reactions given above A and B respectively are :

Isotope(s) of hydrogen which emits low energy $$\beta$$$$-$$ particles with t1/2 value > 12 years is/are

Match List-I with List-II : List-I(Species) List-II(Hybrid Orbitals) (a) $$S{F_4}$

When silver nitrate solution is added to potassium iodide solution then the sol produced is :

Which of the following molecules does not show stereo isomerism?

Which one of the following group-15 hydride is the strongest reducing agent?

The set having ions which are coloured and paramagnetic both is :

Thiamine and pyridoxine are also known respectively as :

An organic compound A (C6H6O) gives dark green colouration with ferric chloride. On treatment with CHCl3 and KOH, follow

Which one of the following reactions does not occur?

Which one of the following 0.06 M aqueous solutions has lowest freezing point?

The total number of unpaired electrons present in [Co(NH3)6]Cl2 and [Co(NH3)6]Cl3 is :

Methylation of 10 g of benzene gave 9.2 g of toluene. Calculate the percentage yield of toluene __________. (Nearest int

The number of acyclic structural isomers (including geometrical isomers) for pentene are ___________

Assume a cell with the following reaction$$C{u_{(s)}} + 2A{g^ + }(1 \times {10^{ - 3}}M) \to C{u^{2 + }}(0.250M) + 2A{g_

Value of KP for the equilibrium reactionN2O4(g) $$\rightleftharpoons$$ 2NO2(g) at 288 K is 47.9. The KC for this reactio

If the standard molar enthalpy change for combustion of graphite powder is $$-$$2.48 $$\times$$ 102 kJ mol$$-$$1, the am

Number of electrons that Vanadium (Z = 23) has in p-orbitals is equal to _____________

$${N_2}{O_{5(g)}} \to 2N{O_{2(g)}} + {1 \over 2}{O_{2(g)}}$$In the above first order reaction the initial concentration

If the concentration of glucose (C6H12O6) in blood is 0.72 g L$$-$$1, the molarity of glucose in blood is ____________ $

Let Sn denote the sum of first n-terms of an arithmetic progression. If S10 = 530, S5 = 140, then S20 $$-$$ S6 is equal

Let f : R $$\to$$ R be defined as$$f(x) = \left\{ {\matrix{ { - {4 \over 3}{x^3} + 2{x^2} + 3x,} & {x > 0} \c

Let y = y(x) be the solution of the differential equation $$\cos e{c^2}xdy + 2dx = (1 + y\cos 2x)\cos e{c^2}xdx$$, with

Four dice are thrown simultaneously and the numbers shown on these dice are recorded in 2 $$\times$$ 2 matrices. The pro

If $$\int\limits_0^{100\pi } {{{{{\sin }^2}x} \over {{e^{\left( {{x \over \pi } - \left[ {{x \over \pi }} \right]} \righ

The values of $$\lambda$$ and $$\mu$$ such that the system of equations $$x + y + z = 6$$, $$3x + 5y + 5z = 26$$, $$x +

If the shortest distance between the straight lines $$3(x - 1) = 6(y - 2) = 2(z - 1)$$ and $$4(x - 2) = 2(y - \lambda )

Let A = [aij] be a real matrix of order 3 $$\times$$ 3, such that ai1 + ai2 + ai3 = 1, for i = 1, 2, 3. Then, the sum of

Let [x] denote the greatest integer less than or equal to x. Then, the values of x$$\in$$R satisfying the equation $${[{

Let the circle S : 36x2 + 36y2 $$-$$ 108x + 120y + C = 0 be such that it neither intersects nor touches the co-ordinate

Let n denote the number of solutions of the equation z2 + 3$$\overline z $$ = 0, where z is a complex number. Then the v

If the domain of the function $$f(x) = {{{{\cos }^{ - 1}}\sqrt {{x^2} - x + 1} } \over {\sqrt {{{\sin }^{ - 1}}\left( {{

Let f : R $$\to$$ R be defined as $$f(x) = \left\{ {\matrix{ {{{{x^3}} \over {{{(1 - \cos 2x)}^2}}}{{\log }_e}\left(

Let $${E_1}:{{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1,a > b$$. Let E2 be another ellipse such that it tou

Let A = {0, 1, 2, 3, 4, 5, 6, 7}. Then the number of bijective functions f : A $$\to$$ A such that f(1) + f(2) = 3 $$-$$

If the digits are not allowed to repeat in any number formed by using the digits 0, 2, 4, 6, 8, then the number of all n

Let $$A = \left[ {\matrix{ 0 & 1 & 0 \cr 1 & 0 & 0 \cr 0 & 0 & 1 \cr } } \right

Consider the following frequency distribution : .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:bl

The sum of all the elements in the set {n$$\in$$ {1, 2, ....., 100} | H.C.F. of n and 2040 is 1} is equal to ___________

The area (in sq. units) of the region bounded by the curves x2 + 2y $$-$$ 1 = 0, y2 + 4x $$-$$ 4 = 0 and y2 $$-$$ 4x $$-

Let f : R $$\to$$ R be a function defined as $$f(x) = \left\{ {\matrix{ {3\left( {1 - {{|x|} \over 2}} \right)} &

If the constant term, in binomial expansion of $${\left( {2{x^r} + {1 \over {{x^2}}}} \right)^{10}}$$ is 180, then r is

Let y = y(x) be the solution of the differential equation $$\left( {(x + 2){e^{\left( {{{y + 1} \over {x + 2}}} \right)}

What will be the projection of vector $$\overrightarrow A = \widehat i + \widehat j + \widehat k$$ on vector $$\overrig

A Copper (Cu) rod of length 25 cm and cross-sectional area 3 mm2 is joined with a similar Aluminium (Al) rod as shown in

In a circuit consisting of a capacitance and a generator with alternating emf Eg = Eg0 sin$$\omega$$t, VC and IC are the

A porter lifts a heavy suitcase of mass 80 kg and at the destination lowers it down by a distance of 80 cm with a consta

Consider a situation in which a ring, a solid cylinder and a solid sphere roll down on the same inclined plane without s

Intensity of sunlight is observed as 0.092 Wm$$-$$2 at a point in free space. What will be the peak value of magnetic fi

A body is projected vertically upwards from the surface of earth with a velocity sufficient enough to carry it to infini

An electric dipole is placed on x-axis in proximity to a line charge of linear charge density 3.0 $$\times$$ 10$$-$$6 C/

A nucleus with mass number 184 initially at rest emits an $$\alpha$$-particle. If the Q value of the reaction is 5.5 MeV

A bullet of '4 g' mass is fired from a gun of mass 4 kg. If the bullet moves with the muzzle speed of 50 ms$$-$$1, the i

Statement I : The ferromagnetic property depends on temperature. At high temperature, ferromagnet becomes paramagnet.Sta

Match List - I with List - II List - I List - II (a) $$\omega L > {1 \over {\om

A ray of light passes from a denser medium to a rarer medium at an angle of incidence i. The reflected and refracted ray

An electron of mass me and a proton of mass mp are accelerated through the same potential difference. The ratio of the d

What will be the average value of energy for a monoatomic gas in thermal equilibrium at temperature T?

T0 is the time period of a simple pendulum at a place. if the length of the pendulum is reduced to $${1 \over {16}}$$ ti

The motion of a mass on a spring, with spring constant K is as shown in figure.The equation of motion is given by x(t) =

Consider a situation in which reserve biased current of a particular P-N junction increases when it is exposed to a ligh

A ray of light passing through a prism ($$\mu$$ = $$\sqrt 3 $$) suffers minimum deviation. It is found that the angle of

Three students S1, S2 and S3 perform an experiment for determining the acceleration due to gravity (g) using a simple pe

Three particles P, Q and R are moving along the vectors $$\overrightarrow A = \widehat i + \widehat j$$, $$\overrightar

In a given circuit diagram, a 5 V zener diode along with a series resistance is connected across a 50 V power supply. Th

The total charge enclosed in an incremental volume of 2 $$\times$$ 10$$-$$9 m3 located at the origin is ___________ nC,

The position of the centre of mass of a uniform semi-circular wire of radius 'R' placed in x-y plane with its centre at

In an electric circuit, a cell of certain emf provides a potential difference of 1.25 V across a load resistance of 5$$\

The area of cross-section of a railway track is 0.01 m2. The temperature variation is 10$$^\circ$$C. Coefficient of line

The centre of a wheel rolling on a plane surface moves with a speed v0. A particle on the rim of the wheel at the same l