A binary liquid solution is prepared by mixing n-heptane and ethanol. Which one of the following statements is correct r

The number of stereoisomers possible for a compound of the molecular formula CH3 - CH = CH - CH(OH) - Me is :

The alkene that exhibits geometrical isomerism is :

The IUPAC name of neopentane is

Arrange the carbanions, $${(C{H_3})_3}\overline C $$, $$\overline C C{l_3}$$ , $${(C{H_3})_2}\overline C H$$, $${C_6}{H

Solid Ba(NO3)2 is gradually dissolved in a 1.0 $$\times$$ 10-4 M Na2CO3 solution. At what concentration of Ba2+ will a p

On the basis of the following thermochemical data : ($$\Delta _fG^oH^+_{(aq)}$$ = 0) H2O(l) $$\to$$ H+(aq) + OH-(aq); $

Two liquids X and Y form an ideal solution. At 300K, vapour pressure of the solution containing 1 mol of X and 3 mol of

In Cannizzaro reaction given below 2PhCHO $$\buildrel {\mathop {:OH}\limits^{\left( - \right)} } \over \longrightarr

The set representing the correct order of ionic radius is :

The two functional groups present in a typical carbohydrate are

Which of the following on heating with aqueous KOH, produces acetaldehyde ?

A liquid was mixed with ethanol and a drop of concentrated H2SO4 was added. A compound with a fruity smell was formed. T

The major product obtained on interaction of phenol with sodium hydroxide and carbon dioxide is :

Which of the following has an optical isomer ?

Which of the following pairs represents linkage isomers ?

Knowing that the Chemistry of lanthanoids (Ln) is dominated by its +3 oxidation state, which of the following statements

In context with the transition elements, which of the following statements is incorrect ?

The half life period of a first order chemical reaction is 6.93 minutes. The time required for the completion of 99% of

In a fuel cell methanol is used as fuel and oxygen gas is used as an oxidizer. The reaction is CH3OH(l) + 3/2O2 $$\to$$

Given : $$E_{F{e^{3 + }}/Fe}^o$$ = -0.036V; $$E_{F{e^{2 + }}/Fe}^o$$ = -0.439 V The value of standard electrode potenti

Using MO theory, predict which of the following species has the shortest bond length?

In which of the following arrangements, the sequence is not strictly according to the property written against it

In an atom, an electron is moving with a speed of 600 m/s with an accuracy of 0.005%. Certainity with which the position

Calculate the wavelength (in nanometer) associated with a proton moving at 1.0 x 103 ms−1 (Mass of proton = 1.67 $$\tim

Statement - 1 : The variance of first n even natural numbers is $${{{n^2} - 1} \over 4}$$ Statement - 2 : The sum of fir

If the mean deviation of number 1, 1 + d, 1 + 2d,........, 1 + 100d from their mean is 255, then the d is equal to

For real x, let f(x) = x3 + 5x + 1, then

Let $$f\left( x \right) = {\left( {x + 1} \right)^2} - 1,x \ge - 1$$ Statement - 1 : The set $$\left\{ {x:f\left( x \ri

If $$\,\left| {z - {4 \over z}} \right| = 2,$$ then the maximum value of $$\,\left| z \right|$$ is equal to :

Let $$y$$ be an implicit function of $$x$$ defined by $${x^{2x}} - 2{x^x}\cot \,y - 1 = 0$$. Then $$y'(1)$$ equals

One ticket is selected at random from $$50$$ tickets numbered $$00, 01, 02, ...., 49.$$ Then the probability that the su

$$\int\limits_0^\pi {\left[ {\cot x} \right]dx,} $$ where $$\left[ . \right]$$ denotes the greatest integer function, i

The area of the region bounded by the parabola $${\left( {y - 2} \right)^2} = x - 1,$$ the tangent of the parabola at th

Let $$a, b, c$$ be such that $$b\left( {a + c} \right) \ne 0$$ if $$\left| {\matrix{ a & {a + 1} & {a - 1} \

Given $$P\left( x \right) = {x^4} + a{x^3} + b{x^2} + cx + d$$ such that $$x=0$$ is the only real root of $$P'\,\left(

Let $$f\left( x \right) = x\left| x \right|$$ and $$g\left( x \right) = \sin x.$$ Statement-1: gof is differentiable at

The ellipse $${x^2} + 4{y^2} = 4$$ is inscribed in a rectangle aligned with the coordinate axex, which in turn is inscri

Three distinct points A, B and C are given in the 2 -dimensional coordinates plane such that the ratio of the distance o

The lines $$p\left( {{p^2} + 1} \right)x - y + q = 0$$ and $$\left( {{p^2} + 1} \right){}^2x + \left( {{p^2} + 1} \right

The shortest distance between the line $$y - x = 1$$ and the curve $$x = {y^2}$$ is :

The remainder left out when $${8^{2n}} - {\left( {62} \right)^{2n + 1}}$$ is divided by 9 is :

From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row

If the roots of the equation $$b{x^2} + cx + a = 0$$ imaginary, then for all real values of $$x$$, the expression $$3{b^

Let A and B denote the statements A: $$\cos \alpha + \cos \beta + \cos \gamma = 0$$ B: $$\sin \alpha + \sin \beta

The projections of a vector on the three coordinate axis are $$6,-3,2$$ respectively. The direction cosines of the vecto

If $A, B$ and $C$ are three sets such that $A \cap B=A \cap C$ and $A \cup B=A \cup C$, then :

The logic circuit shown below has the input waveforms $$'A'$$ and $$'B'$$ as shown. Pick out the correct output waveform

A $$p$$-$$n$$ junction $$(D)$$ shown in the figure can act as a rectifier. An alternating current source $$(V)$$ is conn

The above is a plot of binding energy per nucleon $${E_b},$$ against the nuclear mass $$M;A,B,C,D,E,F$$ correspond to

The surface of a metal is illuminated with the light of $$400$$ $$nm.$$ The kinetic energy of the ejected photoelectrons

The transition from the state $$n=4$$ to $$n=3$$ in a hydrogen like atom result in ultra violet radiation. Infrared rad

A transparent solid cylindrical rod has a refractive index of $${2 \over {\sqrt 3 }}.$$ It is surrounded by air. A light

An inductor of inductance $$L=400$$ $$mH$$ and resistors of resistance $${R_1} = 2\Omega $$ and $${R_2} = 2\Omega $$ are

In an optics experiment, with the position of the object fixed, a student varies the position of a convex lens and for e

A mixture of light, consisting of wavelength $$590$$ $$nm$$ and an unknown wavelength, illuminates Young's double slit a

A current loop $$ABCD$$ is held fixed on the plane of the paper as shown in the figure. The arcs $$BC$$ (radius $$= b$$)

A current loop $$ABCD$$ is held fixed on the plane of the paper as shown in the figure. The arcs $$BC$$ (radius $$= b$$)

Two points $$P$$ and $$Q$$ are maintained at the potentials of $$10$$ $$V$$ and $$-4$$ $$V$$, respectively. The work don

Consider a rubber ball freely falling from a height $$h=4.9$$ $$m$$ onto a horizontal elastic plate. Assume that the du

(This question contains Statement-1 and Statement-2. Of the four choices given after the statements, choose the one that

A charge $$Q$$ is placed at each of the opposite corners of a square. A charge $$q$$ is placed at each of the other two

Let $$P\left( r \right) = {Q \over {\pi {R^4}}}r$$ be the change density distribution for a solid sphere of radius $$R$$

Three sound waves of equal amplitudes have frequencies $$\left( {v - 1} \right),\,v,\,\left( {v + 1} \right).$$ They sup

If $$x,$$ $$v$$ and $$a$$ denote the displacement, the velocity and the acceleration of a particle executing simple harm

Two moles of helium gas are taken over the cycle $$ABCD$$, as shown in the $$P$$-$$T$$ diagram. The net work done on t

Two moles of helium gas are taken over the cycle $$ABCD,$$ as shown in the $$P$$-$$T$$ diagram. The work done on the g

Two moles of helium gas are taken over the cycle $$ABCD,$$ as shown in the $$P$$-$$T$$ diagram. Assuming the gas to be

A long metallic bar is carrying heat from one of its ends to the other end under steady-state. The variation of temperat

One $$kg$$ of a diatomic gas is at a pressure of $$8 \times {10^4}\,N/{m^2}.$$ The density of the gas is $$4kg/{m^3}$$.

Statement - 1: The temperature dependence of resistance is usually given as $$R = {R_0}\left( {1 + \alpha \,\Delta t} \r

Two wires are made of the same material and have the same volume. However wire $$1$$ has cross-sectional area $$A$$ and

The height at which the acceleration due to gravity becomes $${g \over 9}$$ (where $$g=$$ the acceleration due to gravit

A thin uniform rod of length $$l$$ and mass $$m$$ is swinging freely about a horizontal axis passing through its end. It

A particle has an initial velocity $$3\widehat i + 4\widehat j$$ and an acceleration of $$0.4\widehat i + 0.3\widehat j$

In an experiment the angles are required to be measured using an instrument, 29 divisions of the main scale exactly coin