The increasing basicity order of the following compounds is :

Which of the following compounds is not aromatic ?

The tests performed on compound X and their inferences are : .tg {border-collapse:collapse;border-spacing:0;} .tg td{

The products formed in the reaction of cumene with O2 followed by treatment with dil. HCl are :

The correct sequence of amino acids present in the tripeptide given below is :

Consider the following reversible chemical reactions : The relation between K1 and K2 is :

The major product of the following reaction is :

The major product obtained in the following reaction is :

The major product of the following reaction is :

The major product in the following reaction is :

If the standard electrode potential for a cell is 2 V at 300 K, the equilibrium constant (K) for the reaction Zn(s) + C

Homoleptic octahedral complexes of a metal ion 'M3+' with three monodenate ligands L1, L2 and L3 adsorb wavelenths in th

A solution containing 62 g ethylene glycol in 250 g water is cooled to $$-$$ 10oC. If Kf for water is 1.86 K kg mol$$-$$

The transition element that has lowest enthalpy of atomisation, is :

When the first electron gain enthalpy $$\left( {{\Delta _{eg}}H} \right)$$ of oxygen is $$-$$ 141 kJ/mol, its second ele

In which of the following process, the bond order has increased and paramagnetic character has charged to diamagnetic ?

Which of the following combination of statements is true regarding the interpretation of the atomic orbitals ? (a) An e

For the reaction, 2A + B $$ \to $$ products, when the concentrations of A and B both were doubled, the rate of the

The pH of rain water, is approximately :

The complex that has highest crystal field splitting energy ($$\Delta $$), is :

The correct match between Item I and Item II is : .tg {border-collapse:collapse;border-spacing:0;} .tg td{font-family:

For the following reaction, in the mass of water produced from 445 g of C57H110O6 is : 2C57H110O6(s) + 163 O2(g) $$ \to

The entropy change associated with the conversion of 1 kg of ice at 273 K to water vapours at 383 K is : (Specific heat

Let a, b and c be the 7th, 11th and 13th terms respectively of a non-constant A.P. If these are also three consecutive

Let the equations of two sides of a triangle be 3x $$-$$ 2y + 6 = 0 and 4x + 5y $$-$$ 20 = 0. If the orthocentre of this

The number of all possible positive integral values of $$\alpha $$  for which the roots of the quadratic equation,

Let A = {x $$ \in $$ R : x is not a positive integer}. Define a function $$f$$ : A $$ \to $$  R   as

The number of natural numbers less than 7,000 which can be formed by using the digits 0, 1, 3, 7, 9 (repitition of digit

Let A(4, $$-$$ 4) and B(9, 6) be points on the parabola, y2 = 4x. Let C be chosen on the arc AOB of the parabola, where

If   x $$=$$ 3 tan t and y $$=$$ 3 sec t, then the value of $${{{d^2}y} \over {d{x^2}}}$$ at t $$ = {\pi

Let f be a differentiable function from R to R such that $$\left| {f\left( x \right) - f\left( y \right)} \right| \le 2

A data consists of n observations : x1, x2, . . . . . . ., xn.     If     $$\sum\limi

If   $$f\left( x \right) = \int {{{5{x^8} + 7{x^6}} \over {{{\left( {{x^2} + 1 + 2{x^7}} \right)}^2}}}} \

If   $$A = \left[ {\matrix{ {{e^t}} & {{e^{ - t}}\cos t} & {{e^{ - t}}\sin t} \cr {{e^t}}

If the lines x = ay + b, z = cy + d and x = a'z + b', y = c'z + d' are perpendicular, then :

If both the roots of the quadratic equation x2 $$-$$ mx + 4 = 0 are real and distinct and they lie in the interval [1, 5

Let S be the set of all triangles in the xy-plane, each having one vertex at the origin and the other two vertices lie o

The area of the region A = {(x, y) : 0 $$ \le $$ y $$ \le $$x |x| + 1  and  $$-$$1 $$ \le $$ x $$ \

If the system of linear equations x $$-$$ 4y + 7z = g        3y $$-$$ 5z = h $$-$$2x

Let z0 be a root of the quadratic equation, x2 + x + 1 = 0, If z = 3 + 6iz$$_0^{81}$$ $$-$$ 3iz$$_0^{93}$$, then arg z

Let f : [0,1] $$ \to $$ R be such that f(xy) = f(x).f(y), for all x, y $$ \in $$ [0, 1], and f(0) $$ \ne $$ 0. If

If  x = sin$$-$$1(sin10) and y = cos$$-$$1(cos10), then y $$-$$ x is equal to :

For each x$$ \in $$R, let [x] be the greatest integer less than or equal to x. Then $$\mathop {\lim }\limits_{x \to {0^

Let  $$\overrightarrow a = \widehat i + \widehat j + \sqrt 2 \widehat k,$$   $$\overrightarrow

A hyperbola has its centre at the origin, passes through the point (4, 2) and has transverse axis of length 4 along the

An urn contains 5 red and 2 green balls. A ball is drawn at random from the urn. If the drawn ball is green, then a red

If   $$\int\limits_0^{{\pi \over 3}} {{{\tan \theta } \over {\sqrt {2k\,\sec \theta } }}} \,d\theta = 1

A rod of length 50 cm is pivoted at one end. It is raised such that if makes an angle of 30o from the horizontal as sho

A parallel plate capacitor with square plates is filled with four dielecytrics of dielectrics constants K1, K2, K3, K4 a

In the given circuit the the internal resistance of the 18 V cell is negligible. If R1 = 400 $$\Omega $$, R3 = 100 $$\Om

Ge and Si diodes start conducting at 0.3 V and 0.7 V respectively. In the following figure if Ge diode connection are re

A particle is executing simple harmonic motion (SHM) of amplitude A, along the x-axis, about x = 0. When its potential E

The magnetic field associated with a light wave is given, at the origin, by B = B0 [sin(3.14 $$ \times $$ 107)ct + sin(6

In a car race on straight road, car A takes a time t less than car B at the finish and passes finishing point with a spe

Charge is distributed within a sphere of radius R with a volume charge density $$\rho \left( r \right) = {A \over {{r^2}

The pitch and the number of divisions, on the circular scale, for a given screw gauge are 0.5 mm and 100 respectively.

A rod of mass 'M' and length '2L' is suspended at its middle by a wire. It exhibits torsional oscillations; If two masse

One of the two identical conducting wires of length L is bent in the form of a circular loop and the other one into a ci

Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror (M1) and parallel to

In a Young's double slit experiment, the slits are placed 0.320 mm apart. Light of wavelength $$\lambda $$ = 500 nm is i

A 15 g mass of nitrogen gas is enclosed in a vessel at a temperature 27oC. Amount of heat transferred to the gas, so tha

A mass of 10 kg is suspended vertically by a rope from the roof. When a horizontal force is applied on the rope at some

A series AC circuit containing an inductor (20 mH), a capacitor (120 $$\mu $$F) and a resistor (60 $$\Omega $$) is drive

The energy required to take a satellite to a height 'h' above Earth surface (radius of Earth = 6.4 $$ \times $$ 103 km)

The top of a water tank is open to air and its water level is mainted. It is giving out 0.74 m3 water per minute through

Expression for time in terms of G(universal gravitional constant), h (Planck constant) and c (speed of light) is proport

Two point charges q1$$\left( {\sqrt {10} \mu C} \right)$$ and q2($$-$$ 25 $$\mu $$C) are placed on the x-axis at x = 1 m

A particle having the same charge as of electron moves in a ciurcular path of radius 0.5 cm under the influence of a mag

The energy associated with electric field is (UE) and with magnetic field is (UB) for an electromagnetic wave in free sp

A force acts on a 2 kg object so that its position is given as a function of time as x = 3t2 + 5. What is the work done

A power transmission line feeds input power at 2300 V to a srep down transformer with its primary windings having 4000 t

The position co-ordinates of a particle moving in a 3-D coordinate system is given by x = a cos$$\omega $$t y = a sin$$