The major product formed in the following reaction is : CH3CH = CHCH(CH3)2 $$\buildrel {HBr} \over \longrightarrow $$

Hydrogen peroxide, in the pure state, is :

Boron and silicon of very high purity can be obtained through :

Among the following compounds, geometrical isomerism is exhibited by :

The correct statement about probability density (except at infinite distance from nucleus) is :

The following molecule acts as an :

Adsorption of a gas follows Freundlich adsorption isotherm. If x is the mass of the gas adsorbed on mass m of the adsorb

The compound that has the largest H–M–H bond angle (M = N, O, S, C) is :

The rate constant (k) of a reaction is measured at differenct temperatures (T), and the data are plotted in the given fi

The variation of molar conductivity with concentration of an electrolyte (X) in aqueous solution is shown in the given f

The final major product of the following reaction is :

The major product of the following reaction is :

Lattice enthalpy and enthalpy of solution of NaCl are 788 kJ mol–1, and 4 kJ mol–1, respectively. The hydration enthalpy

Which one of the following polymers is not obtained by condensation polymerisation?

Reaction of ammonia with excess Cl2 gives :

An element crystallises in a face-centred cubic (fcc) unit cell with cell edge $$a$$. The distance between the centres o

Consider the complex ions, trans-[Co(en)2Cl2]+ (A) and cis-[Co(en)2Cl2]+ (B). The correct statement regarding them is :

The correct order of the ionic radii of O2–, N3–, F– , Mg2+, Na+ and Al3+ is :

The increasing order of boiling points of the following compounds is :

The one that is NOT suitable for the removal of permanent hardness of water is :

For a reaction X + Y ⇌ 2Z , 1.0 mol of X, 1.5 mol of Y and 0.5 mol of Z were taken in a 1 L vessel and allowed to react.

The volume, in mL, of 0.02 M K2Cr2O7 solution required to react with 0.288 g of ferrous oxalate in acidic medium is ____

Considering that $$\Delta $$0 > P, the magnetic moment (in BM) of [Ru(H2O)6]2+ would be _________.

The number of chiral carbons present in sucrose is _____.

For a dimerization reaction, 2A(g) $$ \to $$ A2(g) at 298 K, $$\Delta $$Uo = –20 kJ mol–1, $$\Delta $$So = –30 JK–1 mo

If a + x = b + y = c + z + 1, where a, b, c, x, y, z are non-zero distinct real numbers, then $$\left| {\matrix{ x &a

The value of $${\left( {{{ - 1 + i\sqrt 3 } \over {1 - i}}} \right)^{30}}$$ is :

If the sum of the second, third and fourth terms of a positive term G.P. is 3 and the sum of its sixth, seventh and eigh

Which of the following points lies on the tangent to the curve x4ey + 2$$\sqrt {y + 1} $$ = 3 at the point (1, 0)?

Let y = y(x) be the solution of the differential equation cosx$${{dy} \over {dx}}$$ + 2ysinx = sin2x, x $$ \in $$ $$\lef

If the mean and the standard deviation of the data 3, 5, 7, a, b are 5 and 2 respectively, then a and b are the roots of

$$\mathop {\lim }\limits_{x \to 0} {{x\left( {{e^{\left( {\sqrt {1 + {x^2} + {x^4}} - 1} \right)/x}} - 1} \right)} \ove

There are 3 sections in a question paper and each section contains 5 questions. A candidate has to answer a total of 5 q

If x = 1 is a critical point of the function f(x) = (3x2 + ax – 2 – a)ex , then :

The derivative of $${\tan ^{ - 1}}\left( {{{\sqrt {1 + {x^2}} - 1} \over x}} \right)$$ with respect to $${\tan ^{ - 1}

If $$\alpha $$ and $$\beta $$ are the roots of the equation, 7x2 – 3x – 2 = 0, then the value of $${\alpha \over {1 - {

If the length of the chord of the circle, x2 + y2 = r2 (r > 0) along the line, y – 2x = 3 is r, then r2 is equal to

If for some $$\alpha $$ $$ \in $$ R, the lines L1 : $${{x + 1} \over 2} = {{y - 2} \over { - 1}} = {{z - 1} \over 1}$$ a

The statement $$\left( {p \to \left( {q \to p} \right)} \right) \to \left( {p \to \left( {p \vee q} \right)} \right)$$ i

If $$\int {{{\cos \theta } \over {5 + 7\sin \theta - 2{{\cos }^2}\theta }}} d\theta $$ = A$${\log _e}\left| {B\left( \t

If the system of linear equations x + y + 3z = 0 x + 3y + k2z = 0 3x + y + 3z = 0 has a non-zero solution (x, y, z) for

If L = sin2$$\left( {{\pi \over {16}}} \right)$$ - sin2$$\left( {{\pi \over {8}}} \right)$$ and M = cos2$$\left( {{\pi

If the line y = mx + c is a common tangent to the hyperbola $${{{x^2}} \over {100}} - {{{y^2}} \over {64}} = 1$$ and the

If the sum of the first 20 terms of the series $${\log _{\left( {{7^{1/2}}} \right)}}x + {\log _{\left( {{7^{1/3}}} \rig

Let A = {a, b, c} and B = {1, 2, 3, 4}. Then the number of elements in the set C = {f : A $$ \to $$ B | 2 $$ \in $$ f(A)

The area (in sq. units) of the region A = {(x, y) : (x – 1)[x] $$ \le $$ y $$ \le $$ 2$$\sqrt x $$, 0 $$ \le $$ x $$ \l

If the lines x + y = a and x – y = b touch the curve y = x2 – 3x + 2 at the points where the curve intersects the x-axi

In a bombing attack, there is 50% chance that a bomb will hit the target. Atleast two independent hits are required to d

The coefficient of x4 in the expansion of (1 + x + x2 + x3)6 in powers of x, is ______.

Let the vectors $$\overrightarrow a $$, $$\overrightarrow b $$, $$\overrightarrow c $$ be such that $$\left| {\overrigh

A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate $${{dM\left( t \ri

A ring is hung on a nail. It can oscillate, without slipping or sliding (i) in its plane with a time period T1 and, (ii)

The quantities x = $${1 \over {\sqrt {{\mu _0}{\varepsilon _0}} }}$$, y = $${E \over B}$$ and z = $${l \over {CR}}$$ are

Ten charges are placed on the circumference of a circle of radius R with constant angular separation between successive

A driver in a car, approaching a vertical wall notices that the frequency of his car horn, has changed from 440 Hz to 48

The correct match between the entries in column I and column II are : .tg {border-collapse:collapse;border-spacing:0;}

Two different wires having lengths L1 and L2, and respective temperature coefficient of linear expansion $$\alpha $$1 an

Two Zener diodes (A and B) having breakdown voltages of 6 V and 4 V respectively, are connected as shown in the circuit

In the circuit, given in the figure currents in different branches and value of one resistor are shown. Then potential a

A radioactive nucleus decays by two different processes. The half life for the first process is 10 s and that for the se

An iron rod of volume 10–3 m3 and relative permeability 1000 is placed as core in a solenoid with 10 turns/cm. If a curr

In an adiabatic process, the density of a diatomic gas becomes 32 times its initial value. The final pressure of the gas

The acceleration due to gravity on the earth’s surface at the poles is g and angular velocity of the earth about the axi

A parallel plate capacitor has plate of length 'l', width ‘w’ and separation of plates is ‘d’. It is connected to a batt

A galvanometer is used in laboratory for detecting the null point in electrical experiments. If, on passing a current of

The velocity (v) and time (t) graph of a body in a straight line motion is shown in the figure. The point S is at 4.333

Two coherent sources of sound, S1 and S2, produce sound waves of the same wavelength, $$\lambda $$ = 1 m, in phase. S1 a

In an experiment to verify Stokes law, a small spherical ball of radius r and density $$\rho $$ falls under gravity thro

Nitrogen gas is at 300oC temperature. The temperature (in K) at which the rms speed of a H2 molecule would be equal to t

A thin rod of mass 0.9 kg and length 1 m is suspended, at rest, from one end so that it can freely oscillate in the vert

An infinitely long, straight wire carrying current I, one side opened rectangular loop and a conductor C with a sliding

In the circuit shown, charge on the 5 $$\mu $$F capacitor is :

A prism of angle A = 1o has a refractive index $$\mu $$ = 1.5. A good estimate for the minimum angle of deviation (in de

The surface of a metal is illuminated alternately with photons of energies E1 = 4 eV and E2 = 2.5 eV respectively. The r

A body of mass 2 kg is driven by an engine delivering a constant power of 1 J/s. The body starts from rest and moves in