Increasing rate of SN1 reaction in the following compounds is :

The regions of the atmosphere, where clouds form and where we live, respectively, are :

Ethylamine (C2H5NH2) can be obtained from N-ethylphatalimide on treatment with :

Amylopectin is compound of :

Consider the following table : .tg {border-collapse:collapse;border-spacing:0;border-color:#9ABAD9;} .tg td{font-famil

Consider the hydrated ions of Ti2+, V2+, Ti3+, and Sc3+. The correct order of their spin-only magnetic moments is :

Consider the statements S1 and S2 S1 : Conductivity always increases with decrease in the concentration of electrolyte.

The isoelectronic set of ions is :

Major products of the following reaction are :

The major product of the following reaction is :

The correct order of catenation is :

A bacterial infection in an internal wound grows as N'(t) = N0 exp(t), where the time t is in hours. A does of antibioti

A gas undergoes physical adsorption on a surface and follows the given Freundlich adsorption isotherm equation $${x \ove

Consider the following statements (a) The pH of a mixture containing 400 mL of 0.1 M H2SO4 and 400 mL of 0.1 M NaOH will

The alloy used in the construction of aircrafts is :

At 300 K and 1 atmospheric pressure, 10 mL of a hydrocarbon required 55 mL of O2 for complete combustion, and 40 mL of C

A process will be spontaneous at all temperatures if :

The principle of column chromatography is :

At room temperature, a dilute solution of urea is prepared by dissolving 0.60 of urea in 360 g of water. If the vapour p

The major product of the following reaction is :

The species that can have a trans-isomer is : (en = ehane-1, 2-diamine, ox = oxalate)

Three complexes, [CoCl(NH3)5] 2+(I), [Co(NH3)5H2O]3+ (II) and [Co(NH3)6] 3+(III) absorb light in the visible region. The

Match the refining methods (Column I) with metals (Column II). .tg {border-collapse:collapse;border-spacing:0;} .tg td

The synonym for water gas when used in the production of methanol is :

During the change of O2 to O2- , the incoming electron goes to the orbital :

The major product of the following reaction is :

The oxoacid of sulphur that does not contain bond between sulphur atoms is

The graph between $${\left| \psi \right|^2}$$ and r (radial distance) is shown below. This represents :

The increasing order of the reactivity of the following compounds towards electrophilic aromatic substitution reactions

Which of the following is a condensation polymer?

The region represented by| x – y | $$ \le $$ 2 and | x + y| $$ \le $$ 2 is bounded by a :

All the pairs (x, y) that satisfy the inequality $${2^{\sqrt {{{\sin }^2}x - 2\sin x + 5} }}.{1 \over {{4^{{{\sin }^2}y}

If $$\alpha $$ and $$\beta $$ are the roots of the quadratic equation, x2 + x sin $$\theta $$ - 2 sin $$\theta $$ = 0,

If a > 0 and z = $${{{{\left( {1 + i} \right)}^2}} \over {a - i}}$$, has magnitude $$\sqrt {{2 \over 5}} $$, then $$

If y = y(x) is the solution of the differential equation $${{dy} \over {dx}} = \left( {\tan x - y} \right){\sec ^2}x$$,

If the length of the perpendicular from the point ($$\beta $$, 0, $$\beta $$) ($$\beta $$ $$ \ne $$ 0) to the line, $${x

If $${\Delta _1} = \left| {\matrix{ x & {\sin \theta } & {\cos \theta } \cr { - \sin \theta } & { -

Assume that each born child is equally likely to be a boy or a girl. If two families have two children each, then the co

Which one of the following Boolean expressions is a tautology?

Let f(x) = x2 , x $$ \in $$ R. For any A $$ \subseteq $$ R, define g (A) = { x $$ \in $$ R : f(x) $$ \in $$ A}. If S = [

If $$\mathop {\lim }\limits_{x \to 1} {{{x^4} - 1} \over {x - 1}} = \mathop {\lim }\limits_{x \to k} {{{x^3} - {k^3}} \o

If a directrix of a hyperbola centred at the origin and passing through the point (4, –2$$\sqrt 3 $$ ) is 5x = 4$$\sqrt

If the circles x2 + y2 + 5Kx + 2y + K = 0 and 2(x2 + y2) + 2Kx + 3y –1 = 0, (K$$ \in $$R), intersect at the points P

If$$f(x) = \left\{ {\matrix{ {{{\sin (p + 1)x + \sin x} \over x}} & {,x < 0} \cr q & {,x = 0} \cr

The sum $${{3 \times {1^3}} \over {{1^3}}} + {{5 \times ({1^3} + {2^3})} \over {{1^2} + {2^2}}} + {{7 \times \left( {{1^

If $$\int {{{dx} \over {{{\left( {{x^2} - 2x + 10} \right)}^2}}}} = A\left( {{{\tan }^{ - 1}}\left( {{{x - 1} \over 3}}

The value of $$\int\limits_0^{2\pi } {\left[ {\sin 2x\left( {1 + \cos 3x} \right)} \right]} dx$$, where [t] denotes the

If the coefficients of x2 and x3 are both zero, in the expansion of the expression (1 + ax + bx2 ) (1 – 3x)15 in power

If Q(0, –1, –3) is the image of the point P in the plane 3x – y + 4z = 2 and R is the point (3, –1, –2), then the area (

The line x = y touches a circle at the point (1,1). If the circle also passes through the point (1, – 3), then its radiu

Let f : R $$ \to $$ R be differentiable at c $$ \in $$ R and f(c) = 0. If g(x) = |f(x)| , then at x = c, g is :

Let A (3, 0, –1), B(2, 10, 6) and C(1, 2, 1) be the vertices of a triangle and M be the midpoint of AC. If G divides BM

If the system of linear equations x + y + z = 5 x + 2y + 2z = 6 x + 3y + $$\lambda $$z = $$\mu $$, ($$\lambda $$, $$\mu

The number of 6 digit numbers that can be formed using the digits 0, 1, 2, 5, 7 and 9 which are divisible by 11 and no d

If for some x $$ \in $$ R, the frequency distribution of the marks obtained by 20 students in a test is : .tg {border-

ABC is a triangular park with AB = AC = 100 metres. A vertical tower is situated at the mid-point of BC. If the angles o

If a1, a2, a3, ............... an are in A.P. and a1 + a4 + a7 + ........... + a16 = 114, then a1 + a6 + a11 + a16 is eq

Let f(x) = ex – x and g(x) = x2 – x, $$\forall $$ x $$ \in $$ R. Then the set of all x $$ \in $$ R, where the function h

$$\mathop {\lim }\limits_{n \to \infty } \left( {{{{{(n + 1)}^{1/3}}} \over {{n^{4/3}}}} + {{{{(n + 2)}^{1/3}}} \over {{

If the line x – 2y = 12 is tangent to the ellipse $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$ at the point

Figure shows charge (q) versus voltage (V) graph for series and parallel combination of two given capacitors. The capaci

A current of 5 A passes through a copper conductor (resistivity = 1.7 × 10–8 $$\Omega $$m) of radius of cross-section 5

In a meter bridge experiment, the circuit diagram and the corresponding observation table are shown in figure .tg {bo

One plano-convex and one plano-concave lens of same radius of curvature 'R' but of different materials are joined side b

A ball is thrown upward with an initial velocity V0 from the surface of the earth. The motion of the ball is affected by

A cylinder with fixed capacity of 67.2 lit contains helium gas at STP. The amount of heat needed to raise the temperatur

A thin disc of mass M and radius R has mass per unit area $$\sigma $$(r) = kr2 where r is the distance from its centre.

Two coaxial discs, having moments of inertia I1 and I1/2, are rotating with respective angular velocities $$\omega $$1

The electric field of a plane electromagnetic wave is given by $$\overrightarrow E = {E_0}\widehat i\cos (kz)cos(\omega

A particle of mass m is moving along a trajectory given by x = x0 + a cos$$\omega $$1t y = y0 + b sin$$\omega $$2t The t

A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbits in a plane due to magneti

Two wires A & B are carrying currents I1 & I2 as shown in the figure. The separation between them is d. A third

A ray of light AO in vacuum is incident on a glass slab at angle 60° and refracted at angle 30° along OB as shown in the

A message signal of frequency 100 MHz and peak voltage 100 V is used to execute amplitude modulation on a carrier wave o

In an experiment, the resistance of a material is plotted as a function of temperature (in some range). As shown in the

A transformer consisting of 300 turns in the primary and 150 turns in the secondary gives output power of 2.2 kW. If the

In a photoelectric effect experiment the threshold wavelength of the light is 380 nm. If the wavelentgh of incident ligh

The displacement of a damped harmonic oscillator is given by x(t ) = e–0.1t cos (10$$\pi $$t + f). Here t is in seconds.

Two radioactive materials A and B have decay constants 10$$\lambda $$ and $$\lambda $$, respectively. It initially they

A 25 × 10–3 m3 volume cylinder is filled with 1 mol of O2 gas at room temperature (300K). The molecular diameter of O2,

A stationary source emits sound waves of frequency 500 Hz. Two observers moving along a line passing through the source

Given below in the the left column are different modes of communication using the kinds of waves given the right column.

An n-p-n transistor operates as a common emitter amplifier, with a power gain of 60 dB. The input circuit resistance is

n moles of an ideal gas with constant volume heat capcity CV undergo an isobaric expansion by certain volume. The ratio

A moving coil galvanometer allows a full scale current of 10–4 A. A series resistance of 2 M$$\Omega $$ is required to c

In the given circuit, an ideal voltmeter connected across the 10$$\Omega $$ resistance reads 2V. The internal resistance

A uniformly charged ring of radius 3a and total charge q is placed in xy-plane centred at origin. A point charge q is mo

The value of acceleration due to gravity at Earth's surface is 9.8 ms–2. The altitude above its surface at which the acc

The ratio of surface tensions of mercury and water is given to be 7.5 while the ratio of thier densities is 13.6. Their

Two particles, of masses M and 2M, moving, as shown, with speeds of 10 m/s and 5 m/s, collide elastically at the origin.