The compound formed as a result of oxidation of ethyl benzene by KMnO4 is :

Which one of the following conformation of cyclohexane is chiral?

Presence of a nitro group in a benzene ring

The pKa of a weak acid (HA) is 4.5. The pOH of an aqueous buffered solution of HA in which 50% of the acid is ionized is

In a sautrated solution of the sparingly soluble strong electrolyte AgIO3 (Molecular mass = 283) the equilibrium which s

The first and second dissociation constants of an acid H2A are 1.0 $$\times$$ 10−5 and 5.0 $$\times$$ 10−10 respectivel

Identify the correct statement regarding a spontaneous process :

In conversion of lime-stone to lime, CaCO3(s) $$\to$$ CaO(s) + CO2 (g) the vales of ∆H° and ∆S° are +179.1 kJ mol−1 an

Which of the following reactions will yield 2, 2-dibromopropane?

The actinoids exhibits more number of oxidation states in general than the lanthanoids. This is because :

The stability of dihalides of $$Si,Ge,Sn$$ and $$Pb$$ increases steadily in the sequence :

Which of the following molecules is expected to rotate the plane of plane - polarized light?

Assuming that water vapour is an ideal gas, the internal energy change $$\left( {\Delta U} \right)$$ when $$1$$ mol of w

The secondary structure of a protein refers to

In the chemical reaction, CH3CH2NH2 + CHCl3 + 3KOH $$\to$$ (A) + (B) + 3H2O, the compound (A) and (B) are respectively

Which one of the following is the strongest base in aqueous solution?

In the following sequence of reactions, CH3CH2OH $$\buildrel {P + {I_2}} \over \longrightarrow $$ A $$\mathrel{\mathop

Which of the following is the correct order of decreasing SN2 reactivity?

Which one of the following has a square planar geometry?

Identify the incorrect statement among the following :

Regular use of which of the following fertilizer increases the acidity of soil?

Which of the following nuclear reactions will generate an isotope?

A radioactive element gets spilled over the floor of a room. Its half-life period is 30 days. If the initial activity is

Consider the reaction, 2A + B $$\to$$ products. When concentration of B alone was doubled, the half-life did not change.

The energies of activation for forward and reverse reactions for A2 + B2 $$\leftrightharpoons$$ 2AB are 180 kJ mol−1 and

The cell, Zn | Zn2+ (1M) || Cu2+ (1M) | Cu($$E_{cell}^o$$ = 1.10V) was allowed to be completely discharged at 298 K. Th

The equivalent conductances of two strong electrolytes at infinite dilution in H2O (where ions move freely through a sol

A mixture of ethyl alcohol and propyl alcohol has a vapour pressure of 290 mm at 300 K. The vapour pressure of propyl al

A 5.25 % solution of a substance is isotonic with a 1.5% solution of urea (molar mass = 60 g mol−1) in the same solvent.

The reaction of toluene with Cl2 in presence of FeCl3 gives predominantly

Which of the following hydrogen bonds is the strongest?

In which of the following ionization processes, the bond order has increased and the magnetic behaviour has changed?

The charge/size ratio of a cation determines its polarizing power. Which one of the following sequences represents the i

Which of the following species exhibits the diamagnetic behaviour?

Which of the following sets of quantum numbers represents the highest energy of an atom?

The density (in g mL-1) of a 3.60 M sulphuric acid solution that is 29% H2SO4 (molar mass = 98 g mol-1) by mass will be

In the reaction 2Al(s) + 6HCl(aq) $$\to$$ 2Al3+ (aq) + 6Cl-(aq) + 3H2(g)

The average marks of boys in a class is 52 and that of girls is 42. The average marks of boys and girls combined is 50.

The function $$f:R/\left\{ 0 \right\} \to R$$ given by $$f\left( x \right) = {1 \over x} - {2 \over {{e^{2x}} - 1}}$$ ca

Let $$f:R \to R$$ be a function defined by $$f(x) = \min \left\{ {x + 1,\left| x \right| + 1} \right\}$$, then which of

The largest interval lying in $$\left( { - {\pi \over 2},{\pi \over 2}} \right)$$ for which the function $$f\left( x \

If sin-1$$\left( {{x \over 5}} \right)$$ + cosec-1$$\left( {{5 \over 4}} \right)$$ = $${\pi \over 2}$$, then the value

If a line makes an angle of $$\pi /4$$ with the positive directions of each of $$x$$-axis and $$y$$-axis, then the angle

Two aeroplanes $${\rm I}$$ and $${\rm I}$$$${\rm I}$$ bomb a target in succession. The probabilities of $${\rm I}$$ and

Let $$I = \int\limits_0^1 {{{\sin x} \over {\sqrt x }}dx} $$ and $$J = \int\limits_0^1 {{{\cos x} \over {\sqrt x }}dx} .

The area enclosed between the curves $${y^2} = x$$ and $$y = \left| x \right|$$ is :

The solution for $$x$$ of the equation $$\int\limits_{\sqrt 2 }^x {{{dt} \over {t\sqrt {{t^2} - 1} }} = {\pi \over 2}}

Let $$F\left( x \right) = f\left( x \right) + f\left( {{1 \over x}} \right),$$ where $$f\left( x \right) = \int\limits_l

$$\int {{{dx} \over {\cos x + \sqrt 3 \sin x}}} $$ equals

If $$D = \left| {\matrix{ 1 & 1 & 1 \cr 1 & {1 + x} & 1 \cr 1 & 1 & {1 + y} \cr

If $$p$$ and $$q$$ are positive real numbers such that $${p^2} + {q^2} = 1$$, then the maximum value of $$(p+q)$$ is

The function $$f\left( x \right) = {\tan ^{ - 1}}\left( {\sin x + \cos x} \right)$$ is an incresing function in

If $$\widehat u$$ and $$\widehat v$$ are unit vectors and $$\theta $$ is the acute angle between them, then $$2\widehat

For the Hyperbola $${{{x^2}} \over {{{\cos }^2}\alpha }} - {{{y^2}} \over {{{\sin }^2}\alpha }} = 1$$ , which of the fol

Let A $$\left( {h,k} \right)$$, B$$\left( {1,1} \right)$$ and C $$(2, 1)$$ be the vertices of a right angled triangle wi

In a geometric progression consisting of positive terms, each term equals the sum of the next two terns. Then the common

The set S = {1, 2, 3, ........., 12} is to be partitioned into three sets A, B, C of equal size. Thus $$A \cup B \cup C

In the binomial expansion of $${\left( {a - b} \right)^n},\,\,\,n \ge 5,$$ the sum of $${5^{th}}$$ and $${6^{th}}$$ term

If the difference between the roots of the equation $${x^2} + ax + 1 = 0$$ is less than $$\sqrt 5 ,$$ then the set of po

If $$\,\left| {z + 4} \right|\,\, \le \,\,3\,$$, then the maximum value of $$\left| {z + 1} \right|$$ is :

Let $$L$$ be the line of intersection of the planes $$2x+3y+z=1$$ and $$x+3y+2z=2.$$ If $$L$$ makes an angle $$\alpha $$

If $${M_O}$$ is the mass of an oxygen isotope $${}_8{O^{17}}$$ , $${M_p}$$ and $${M_N}$$ are the masses of a proton and

If in a $$p$$-$$n$$ junction diode, a square input signal of $$10$$ $$V$$ is applied as shown Then the output signal a

Carbon, silicon and germanium have four valence electrons each. At room temperature which one of the following statement

Which of the following transitions in hydrogen atoms emit photons of highest frequency ?

Photon of frequency $$v$$ has a momentum associated with it. If $$c$$ is the velocity of light, the momentum is

Two lenses of power $$-15$$ $$D$$ and $$+5$$ $$D$$ are in contact with each other. The focal length of the combination i

In a Young's double slit experiment the intensity at a point where the path difference is $${\lambda \over 6}$$ ( $$\la

An ideal coil of $$10H$$ is connected in series with a resistance of $$5\Omega $$ and a battery of $$5V$$. $$2$$ second

In an $$a.c.$$ circuit the voltage applied is $$E = {E_0}\,\sin \,\omega t.$$ The resulting current in the circuit is $$

Two identical conducting wires $$AOB$$ and $$COD$$ are placed at right angles to each other. The wire $$AOB$$ carries an

A charged particle moves through a magnetic field perpendicular to its direction. Then

A long straight wire of radius $$a$$ carries a steady current $$i.$$ The current is uniformly distributed across its cr

A current $$I$$ flows along the length of an infinitely long, straight, thin walled pipe. Then

A charged particle with charge $$q$$ enters a region of constant, uniform and mutually orthogonal fields $$\overrightarr

The resistance of a wire is $$5$$ ohm at $${50^ \circ }C$$ and $$6$$ ohm at $${100^ \circ }C.$$ The resistance of the wi

A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to

If $${g_E}$$ and $${g_M}$$ are the accelerations due to gravity on the surfaces of the earth and the moon respectively a

A parallel plate condenser with a dielectric of dielectric constant $$K$$ between the plates has a capacity $$C$$ and is

Charges are placed on the vertices of a square as shown. Let $$\overrightarrow E $$ be the electric field and $$V$$ the

The potential at a point $$x$$ (measured in $$\mu \,m$$) due to some charges situated on the $$x$$-axis is given by $$V\

A $$2$$ $$kg$$ block slides on a horizontal floor with a speed of $$4m/s.$$ It strikes a uncompressed spring, and compre

An electric charge $${10^{ - 3}}\,\,\mu \,C$$ is placed at the origin $$(0,0)$$ of $$X-Y$$ co-ordinate system. Two point

A sound absorber attenuates the sound level by $$20$$ $$dB$$. The intensity decreases by a factor of

The displacement of an object attached to a spring and executing simple harmonic motion is given by $$x = 2 \times {10^{

A point mass oscillates along the $$x$$-axis according to the law $$x = {x_0}\,\cos \left( {\omega t - \pi /4} \right).$

Two springs, of force constant $${k_1}$$ and $${k_2}$$ are connected to a mass $$m$$ as shown. The frequency of oscillat

A particle of mass $$m$$ executes simple harmonic motion with amplitude a and frequency $$v.$$ The average kinetic energ

One end of a thermally insulated rod is kept at a temperature $${T_1}$$ and the other at $${T_2}$$. The rod is composed

When a system is taken from state $$i$$ to state $$f$$ along the path iaf, it is found that $$Q=50$$ cal and $$W=20$$ $$

For the given uniform square lamina $$ABCD$$, whose center is $$O,$$

If $${C_p}$$ and $${C_v}$$ denote the specific heats of nitrogen per unit mass at constant pressure and constant volume

Angular momentum of the particle rotating with a central force is constant due to

A round uniform body of radius $$R,$$ mass $$M$$ and moment of inertia $$I$$ rolls down (without slipping) an inclined p

A circular disc of radius $$R$$ is removed from a bigger circular disc of radius $$2R$$ such that the circumferences of

A block of mass $$m$$ is connected to another block of $$mass$$ $$M$$ by a spring (massless) of spring constant $$k.$$ T

The velocity of a particle is v = v0 + gt + ft2. If its position is x = 0 at t = 0, then its displacement after unit tim

A particle is projected at $$60^\circ $$ to the horizontal with a kinetic energy K. The kinetic energy at the highest po