is a repeating unit for :

Which one of the following species responds to an external magnetic field?

Consider the above reaction, the major product 'P' is :

Sodium stearate CH3(CH2)16COO$$-$$Na+ is an anionic surfactant which forms micelles in oil.Choose the correct statement

The water soluble protein is :

At 298.2 K the relationship between enthalpy of bond dissociation (in kJ mol$$-$$1) for hydrogen (EH) and its isotope, d

Consider the given reaction, the product 'X' is :

The given reaction can occur in the presence of :(a) Bromine water(b) Br2 in CS2, 273 K(c) Br2/FeBr3(d) Br2 in CHCl3, 27

Given below are two statements, one is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A) : Ga

For the following graphs,Choose from the options given below, the correct one regarding order of reaction is :

Which one of the products of the following reactions does not react with Hinsberg reagent to form sulphonamide?

The ionic radii of K+, Na+, Al3+ and Mg2+ are in the order:

Which one of the following compounds of Group-14 elements is not known?

Which one among the following resonating structures is not correct?

Given below are two statements :Statement I : None of the alkaline earth metal hydroxides dissolve in alkali.Statement I

The correct order of following 3d metal oxides, according to their oxidation numbers is :(a) CrO3, (b) Fe2O3, (c) MnO2,

Which one of the following chemical agent is not being used for dry-cleaning of clothes?

Which one of the following compounds will liberate CO2, when treated with NaHCO3 ?

In the leaching of alumina from bauxite, the ore expected to leach out in the process by reacting with NaOH is :

An organic compound 'A' C4H8 on treatment with KMnO4/H+ yields compound 'B' C3H6O.Compound 'A' also yields compound 'B'

The number of sigma bonds in is _______________.

Three moles of AgCl get precipitated when one mole of an octahedral co-ordination compound with empirical formula CrCl3.

A source of monochromatic radiation of wavelength 400 nm provides 1000 J of energy in 10 seconds. When this radiation fa

CO2 gas is bubbled through water during a soft drink manufacturing process at 298 K. If CO2 exerts a partial pressure of

For the reactionA + B $$\rightleftharpoons$$ 2Cthe value of equilibrium constant is 100 at 298 K. If the initial concent

Consider the cell at 25$$^\circ$$CZn | Zn2+ (aq), (1M) || Fe3+ (aq), Fe2+ (aq) | Pt(s)The fraction of total iron present

At 298 K, the enthalpy of fusion of a solid (X) is 2.8 kJ mol$$-$$1 and the enthalpy of vaporisation of the liquid (X) i

A home owner uses 4.00 $$\times$$ 103 m3 of methane (CH4) gas, (assume CH4 is an ideal gas) in a year to heat his home.

When 10 mL of an aqueous solution of Fe2+ ions was titrated in the presence of dil H2SO4 using diphenylamine indicator,

Consider the complete combustion of butane, the amount of butane utilized to produce 72.0 g of water is ___________ $$\t

A spherical gas balloon of radius 16 meter subtends an angle 60$$^\circ$$ at the eye of the observer A while the angle o

Let $$f(x) = 3{\sin ^4}x + 10{\sin ^3}x + 6{\sin ^2}x - 3$$, $$x \in \left[ { - {\pi \over 6},{\pi \over 2}} \right]$$

Let Sn be the sum of the first n terms of an arithmetic progression. If S3n = 3S2n, then the value of $${{{S_{4n}}} \ove

The locus of the centroid of the triangle formed by any point P on the hyperbola $$16{x^2} - 9{y^2} + 32x + 36y - 164 =

Let the vectors$$(2 + a + b)\widehat i + (a + 2b + c)\widehat j - (b + c)\widehat k,(1 + b)\widehat i + 2b\widehat j - b

Let f : R $$\to$$ R be defined as$$f(x) = \left\{ {\matrix{ {{{\lambda \left| {{x^2} - 5x + 6} \right|} \over {\mu (5

The value of the definite integral $$\int\limits_{\pi /24}^{5\pi /24} {{{dx} \over {1 + \root 3 \of {\tan 2x} }}} $$ is

If b is very small as compared to the value of a, so that the cube and other higher powers of $${b \over a}$$ can be neg

Let y = y(x) be the solution of the differential equation $${{dy} \over {dx}} = 1 + x{e^{y - x}}, - \sqrt 2 < x <

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

The area (in sq. units) of the region, given by the set $$\{ (x,y) \in R \times R|x \ge 0,2{x^2} \le y \le 4 - 2x\} $$ i

The sum of all values of x in [0, 2$$\pi$$], for which sin x + sin 2x + sin 3x + sin 4x = 0, is equal to :

Let g : N $$\to$$ N be defined asg(3n + 1) = 3n + 2,g(3n + 2) = 3n + 3,g(3n + 3) = 3n + 1, for all n $$\ge$$ 0. Then whi

Let $$f:[0,\infty ) \to [0,\infty )$$ be defined as $$f(x) = \int_0^x {[y]dy} $$where [x] is the greatest integer less t

The values of a and b, for which the system of equations 2x + 3y + 6z = 8x + 2y + az = 53x + 5y + 9z = bhas no solution,

Let 9 distinct balls be distributed among 4 boxes, B1, B2, B3 and B4. If the probability than B3 contains exactly 3 ball

Let a parabola b be such that its vertex and focus lie on the positive x-axis at a distance 2 and 4 units from the origi

The number of real roots of the equation $${e^{6x}} - {e^{4x}} - 2{e^{3x}} - 12{e^{2x}} + {e^x} + 1 = 0$$ is :

Let an ellipse $$E:{{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$, $${a^2} > {b^2}$$, passes through $$\left

Let the foot of perpendicular from a point P(1, 2, $$-$$1) to the straight line $$L:{x \over 1} = {y \over 0} = {z \over

Let y = y(x) be solution of the following differential equation $${e^y}{{dy} \over {dx}} - 2{e^y}\sin x + \sin x{\cos ^2

If the value of $${\left( {1 + {2 \over 3} + {6 \over {{3^2}}} + {{10} \over {{3^3}}} + ....upto\,\infty } \right)^{{{\l

Consider the following frequency distribution : .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:bl

Let $$\overrightarrow p = 2\widehat i + 3\widehat j + \widehat k$$ and $$\overrightarrow q = \widehat i + 2\widehat j

The ratio of the coefficient of the middle term in the expansion of (1 + x)20 and the sum of the coefficients of two mid

Let $$M = \left\{ {A = \left( {\matrix{ a & b \cr c & d \cr } } \right):a,b,c,d \in \{ \pm 3, \pm 2

There are 5 students in class 10, 6 students in class 11 and 8 students in class 12. If the number of ways, in which 10

If $$\alpha$$, $$\beta$$ are roots of the equation $${x^2} + 5(\sqrt 2 )x + 10 = 0$$, $$\alpha$$ > $$\beta$$ and $${P

The term independent of 'x' in the expansion of $${\left( {{{x + 1} \over {{x^{2/3}} - {x^{1/3}} + 1}} - {{x - 1} \over

Let $$S = \left\{ {n \in N\left| {{{\left( {\matrix{ 0 & i \cr 1 & 0 \cr } } \right)}^n}\left( {\mat

For a gas CP $$-$$ CV = R in a state P and CP $$-$$ CV = 1.10 R in a state Q, TP and TQ are the temperatures in two diff

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Mom

What should be the order of arrangement of de-Broglie wavelength of electron ($$\lambda$$e), an $$\alpha$$-particle ($$\

Identify the logic operation carried out.

A particle of mass 4M at rest disintegrates into two particles of mass M and 3M respectively having non zero velocities.

Some nuclei of a radioactive material are undergoing radioactive decay. The time gap between the instances when a quarte

Match List - I with List - IIChoose the correct answer from the options given below :

A parallel plate capacitor with plate area 'A' and distance of separation 'd' is filled with a dielectric. What is the c

A monoatomic ideal gas, initially at temperature T1 is enclosed in a cylinder fitted with a frictionless piston. The gas

A ray of laser of a wavelength 630 nm is incident at an angle of 30$$^\circ$$ at the diamond-air interface. It is going

Two wires of same length and radius are joined end to end and loaded. The Young's modulii of the materials of the two wi

The half-life of $${}^{198}Au$$ is 3 days. If atomic weight of $${}^{198}Au$$ is 198 g/mol then the activity of 2 mg of

Two billiard balls of equal mass 30g strike a rigid wall with same speed of 108 kmph (as shown) but at different angles.

In the Young's double slit experiment, the distance between the slits varies in time as d(t) = d0 + a0 sin$$\omega$$t; w

Two different metal bodies A and B of equal mass are heated at a uniform rate under similar conditions. The variation of

A linearly polarized electromagnetic wave in vacuum is $$E = 3.1\cos \left[ {(1.8)z - (5.4 \times {{10}^6})t} \right]\wi

In the given figure, there is a circuit of potentiometer of length AB = 10 m. The resistance per unit length is 0.1 $$\O

In amplitude modulation, the message signalVm(t) = 10 sin (2$$\pi$$ $$\times$$ 105t) volts and Carrier signalVC(t) = 20

Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at 4th second af

The minimum and maximum distances of a planet revolving around the sun are x1 and x2. If the minimum speed of the planet

A body of mass 2 kg moving with a speed of 4 m/s. makes an elastic collision with another body at rest and continues to

Student A and student B used two screw gauges of equal pitch and 100 equal circular divisions to measure the radius of a

An inductor of 10 mH is connected to a 20V battery through a resistor of 10 k$$\Omega$$ and a switch. After a long time,

A circular conducting coil of radius 1 m is being heated by the change of magnetic field $$\overrightarrow B $$ passing

In the reported figure, two bodies A and B of masses 200 g and 800 g are attached with the system of springs. Springs ar

The value of aluminium susceptibility is 2.2 $$\times$$ 10$$-$$5. The percentage increase in the magnetic field if space

A particle of mass 1 mg and charge q is lying at the mid-point of two stationary particles kept at a distance '2 m' when

An electric bulb rated as 200 W at 100 V is used in a circuit having 200 V supply. The resistance 'R' that must be put i

A pendulum bob has a speed of 3 m/s at its lowest position. The pendulum is 50 cm long. The speed of bob, when the lengt

A particle of mass 'm' is moving in time 't' on a trajectory given by$$\overrightarrow r = 10\alpha {t^2}\widehat i + 5