Among the following, the INCORRECT statement about colloids is :

In the following skew conformation of ethane, H'–C–C–H'' dihedral angle is :

An 'Assertion' and a 'Reason' are given below. Choose the correct answer from the following options : Assertion (A) : Vi

The IUPAC name for the following compound is :

The C–C bond length is maximum in :

What will be the major product when m-cresol is reacted with propargyl bromide (HC$$ \equiv $$C–CH2Br) in presence of K2

The decreasing order of electrical conductivity of the following aqueous solutions is : 0.1 M Formic acid (A), 0.1 M Ace

Among the following, the energy of 2s orbital is lowest in :

The coordination numbers of Co and Al in [Co(Cl)(en)2]Cl and K3[Al(C2O4)3], respectively, are : (en = ethane-1, 2-diamin

25 g of an unknown hydrocarbon upon burning produces 88 g of CO2 and 9 g of H2O. This unknown hydrocarbon contains :

Thermal decomposition of a Mn compound (X) at 513 K results in compound Y, MnO2 and gaseous product. MnO2 reacts with Na

The INCORRECT match in the following is :

The primary pollutant that leads to photochemical smog is :

The INCORRECT statement is :

The correct statement is :

The pair that has similar atomic radii is :

NO2 required for a reaction is produced by the decomposition of N2O5 in CCl4 as per the equation, 2N2O5(g) $$ \to $$ 4NO

Which of the given statements is INCORRECT about glycogen?

The correct name of the following polymer is :

A solution is prepared by dissolving 0.6 g of urea (molar mass = 60 g mol–1) and 1.8 g of glucose (molar mass = 180 g mo

Heating of 2-chloro-1-phenylbutane with EtOK/EtOH gives X as the major product. Reaction of X with Hg(OAc)2/H2O followed

Consider the following reactions : 'A' is :

The ratio of number of atoms present in a simple cubic, body centered cubic and face centered cubic structure are, respe

In comparison to boron, berylium has :

The temporary hardness of a water sample is due to compound X. Boiling this sample converts X to compound Y. X and Y, re

The compound used in the treatment of lead poisoning is :

In which one of the following equilibria, Kp $$ \ne $$ KC ?

The molar solubility of Cd(OH)2 is 1.84 × 10–5 M in water. The expected solubility of Cd(OH)2 in a buffer solution of p

Which one of the following is likely to give a precipitate with AgNO3 solution ?

Benzene diazonium chloride on reaction with aniline in the presence of dilute hydrochloric acid gives :

Let $$a \in \left( {0,{\pi \over 2}} \right)$$ be fixed. If the integral $$\int {{{\tan x + \tan \alpha } \over {\tan x

The general solution of the differential equation (y2 – x3)dx – xydy = 0 (x $$ \ne $$ 0) is : (where c is a constant of

The equation of common tangent to the curves y2 = 16x and xy = –4, is :

A plane which bisects the angle between the two given planes 2x – y + 2z – 4 = 0 and x + 2y + 2z – 2 = 0, passes through

A triangle has a vertex at (1, 2) and the mid points of the two sides through it are (–1, 1) and (2, 3). Then the centro

The Boolean expression ~(p $$ \Rightarrow $$ (~q)) is equivalent to :

If the area (in sq. units) bounded by the parabola y2 = 4$$\lambda $$x and the line y = $$\lambda $$x, $$\lambda $$ &gt

Let A, B and C be sets such that $$\phi $$ $$ \ne $$ A $$ \cap $$ B $$ \subseteq $$ C. Then which of the following stat

If $$\alpha $$, $$\beta $$ and $$\gamma $$ are three consecutive terms of a non-constant G.P. such that the equations $$

If 20C1 + (22) 20C2 + (32) 20C3 + ..... + (202 ) 20C20 = A(2$$\beta $$), then the ordered pair (A, $$\beta $$) is equal

The length of the perpendicular drawn from the point (2, 1, 4) to the plane containing the lines $$\overrightarrow r =

A person throws two fair dice. He wins Rs. 15 for throwing a doublet (same numbers on the two dice), wins Rs. 12 when th

A circle touching the x-axis at (3, 0) and making an intercept of length 8 on the y-axis passes through the point :

Let $$\alpha $$ $$ \in $$ R and the three vectors $$\overrightarrow a = \alpha \widehat i + \widehat j + 3\widehat k$$,

If [x] denotes the greatest integer $$ \le $$ x, then the system of linear equations [sin $$\theta $$]x + [–cos$$\theta

The tangents to the curve y = (x – 2)2 – 1 at its points of intersection with the line x – y = 3, intersect at the point

A group of students comprises of 5 boys and n girls. If the number of ways, in which a team of 3 students can randomly b

An ellipse, with foci at (0, 2) and (0, –2) and minor axis of length 4, passes through which of the following points?

For an initial screening of an admission test, a candidate is given fifty problems to solve. If the probability that the

A straight line L at a distance of 4 units from the origin makes positive intercepts on the coordinate axes and the perp

A value of $$\alpha $$ such that $$\int\limits_\alpha ^{\alpha + 1} {{{dx} \over {\left( {x + \alpha } \right)\left( {x

$$\mathop {\lim }\limits_{x \to 0} {{x + 2\sin x} \over {\sqrt {{x^2} + 2\sin x + 1} - \sqrt {{{\sin }^2}x - x + 1} }}$

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

Let S be the set of all $$\alpha $$ $$ \in $$ R such that the equation, cos2x + $$\alpha $$sinx = 2$$\alpha $$– 7 has a

The angle of elevation of the top of a vertical tower standing on a horizontal plane is observed to be 45o from a point

A value of $$\theta \in \left( {0,{\pi \over 3}} \right)$$, for which $$\left| {\matrix{ {1 + {{\cos }^2}\theta } &

Let z $$ \in $$ C with Im(z) = 10 and it satisfies $${{2z - n} \over {2z + n}}$$ = 2i - 1 for some natural number n. The

Let f(x) = 5 – |x – 2| and g(x) = |x + 1|, x $$ \in $$ R. If f(x) attains maximum value at $$\alpha $$ and g(x) attains

If a1, a2, a3, ..... are in A.P. such that a1 + a7 + a16 = 40, then the sum of the first 15 terms of this A.P. is :

The term independent of x in the expansion of $$\left( {{1 \over {60}} - {{{x^8}} \over {81}}} \right).{\left( {2{x^2} -

In the given circuit, the charge on 4 $$\mu $$F capacitor will be :

A particle is moving with speed v = b$$\sqrt x $$ along positive x-axis. Calculate the speed of the particle at time t =

A transparent cube of side, made of a material of refractive index $$\mu $$2, is immersed in a liquid of refractive inde

A Carnot engine has an efficiency of $${1 \over 6}$$. When the temperature of the sink is reduced by 62ºC, its efficienc

Consider an electron in a hydrogen atom revolving in its second excited state (having radius 4.65 $$\mathop A\limits^o $

Consider the LR circuit shown in the figure. If the switch S is closed at t = 0 then the amount of charge that passes th

Let a total charge 2Q be distributed in a sphere of radius R, with the charge density given by $$\rho $$(r) = kr, where

A system of three polarizers P1, P2, P3 is set up such that the pass axis of P3 is crossed with respect to that of P1. T

A smooth wire of length 2$$\pi $$r is bent into a circle and kept in a vertical plane. A bead can slide smoothly on the

In an amplitude modulator circuit, the carrier wave is given by, C(t) = 4 sin(20000 $$\pi $$t) while modulating signal i

A diatomic gas with rigid molecules does 10 J of work when expanded at constant pressure. What would be the heat energy

A plane electromagnetic wave having a frequency v = 23.9 GHz propagates along the positive z-direction in free space. Th

The electron in a hydrogen atom first jumps from the third excited state to the second excited state and subsequently to

One kg of water, at 20oC, heated in an electric kettle whose heating element has a mean (temperature averaged) resistanc

A block of mass 5 kg is (i) pushed in case (A) and (ii) pulled in case (B), by a force F = 20 N, making an angle of 30o

A solid sphere, of radius R acquires a terminal velocity v1 when falling (due to gravity) through a viscous fluid having

A moving coil galvanometer, having a resistance G, produces full scale deflection when a current Ig flows through it. Th

Two sources of sound S1 and S2 produce sound waves of same frequency 660 Hz. A listener is moving from source S1 towards

Half lives of two radioactive nuclei A and B are 10 minutes and 20 minutes, respectively, If initially a sample has equa

A tuning fork of frequency 480 Hz is used in an experiment for measuring speed of sound (v) in air by resonance tube met

A small speaker delivers 2 W of audio output. At what distance from the speaker will one detect 120 dB intensity sound ?

The number density of molecules of a gas depends on their distance r from the origin as, $$n\left( r \right) = {n_0}{e^{

An electron, moving along the x-axis with an initial energy of 100 eV, enters a region of magnetic field $$\overrightarr

A uniform cylindrical rod of length L and radius r, is made from a material whose Young’s modulus of Elasticity equals Y

Find the magnetic field at point P due to a straight line segment AB of length 6 cm carrying a current of 5A. (See figur

A spring whose unstretched length is l has a force constant k. The spring is cut into two pieces of unstretched lengths

The ratio of the weights of a body on the Earth’s surface to that on the surface of a planets is 9 : 4. The mass of the

Three particles of masses 50 g, 100 g and 150 g are placed at the vertices of an equilateral triangle of side 1 m (as sh

Figure shows a DC voltage regulator circuit, with a Zener diode of breakdown voltage = 6V. If the unregulated input volt

Two particles are projected from the same point with the same speed u such that they have the same range R, but differen