Which one of the following compounds will give orange precipitate when treated with 2, 4-dinitrophenyl hydrazine?

The oxidation states of 'P' in H4P2O7, H4P2O5 and H4P2O6, respectively, are :

For a reaction of order n, the unit of the rate constant is :

Given below are two statements : Statement I : Aniline is less basic than acetamide.Statement II : In aniline, the lone

The type of hybridisation and magnetic property of the complex [MnCl6]3$$-$$, respectively, are :

The number of geometrical isomers found in the metal complexes [PtCl2(NH3)2], [Ni(CO)4], [Ru(H2O)3Cl3 and [CoCl2(NH3)4]+

Presence of which reagent will affect the reversibility of the following reaction, and change it to a irreversible react

Which one among the following chemical tests is used to distinguish monosaccharide from disaccharide?

Consider the above reaction and identify the Product P :

The compound 'A' is a complementary base of _______________ in DNA stands.

Staggered and eclipsed conformers of ethane are :

Match List - I with List - II : List - I List - II (a) NaOH (i) Acidic

The correct order of stability of given carbocation is :

The density of NaOH solution is 1.2 g cm$$-$$3. The molality of this solution is _____________ m. (Round off to the Near

The conductivity of a weak acid HA of concentration 0.001 mol L$$-$$1 is 2.0 $$\times$$ 10$$-$$5 S cm$$-$$1. If $$\Lambd

1.46 g of a biopolymer dissolved in a 100 mL water at 300 K exerted an osmotic pressure of 2.42 $$\times$$ 10$$-$$3 bar.

An organic compound is subjected to chlorination to get compound A using 5.0 g of chlorine. When 0.5 g of compound A is

The number of geometrical isomers possible in triamminetrinitrocobalt (III) is X and in trioxalatochromate (III) is Y. T

In gaseous triethyl amine the "$$-$$C$$-$$N$$-$$C$$-$$" bond angle is _________ degree.

For water at 100$$^\circ$$ C and 1 bar,$$\Delta$$vap H $$-$$ $$\Delta$$vap U = _____________ $$\times$$ 102 J mol$$-$$1.

PCl5 $$\rightleftharpoons$$ PCl3 + Cl2Kc = 1.8443.0 moles of PCl5 is introduced in a 1 L closed reaction vessel at 380 K

The difference between bond orders of CO and NO$$^ \oplus $$ is $${x \over 2}$$ where x = _____________. (Round off to t

If the mean and variance of the following data : 6, 10, 7, 13, a, 12, b, 12 are 9 and $${{37} \over 4}$$ respectively, t

Let $$\overrightarrow a = \widehat i + \widehat j + 2\widehat k$$ and $$\overrightarrow b = - \widehat i + 2\widehat

The value of the definite integral$$\int\limits_{ - {\pi \over 4}}^{{\pi \over 4}} {{{dx} \over {(1 + {e^{x\cos x}})({

Let C be the set of all complex numbers. Let$${S_1} = \{ z \in C||z - 3 - 2i{|^2} = 8\} $$$${S_2} = \{ z \in C|{\mathop{

If the area of the bounded region $$R = \left\{ {(x,y):\max \{ 0,{{\log }_e}x\} \le y \le {2^x},{1 \over 2} \le x \le 2

A ray of light through (2, 1) is reflected at a point P on the y-axis and then passes through the point (5, 3). If this

If the coefficients of x7 in $${\left( {{x^2} + {1 \over {bx}}} \right)^{11}}$$ and x$$-$$7 in $${\left( {{x} - {1 \over

If $$\sin \theta + \cos \theta = {1 \over 2}$$, then 16(sin(2$$\theta$$) + cos(4$$\theta$$) + sin(6$$\theta$$)) is equ

Let $$A = \left[ {\matrix{ 1 & 2 \cr { - 1} & 4 \cr } } \right]$$. If A$$-$$1 = $$\alpha$$I + $$\bet

Let $$f:\left( { - {\pi \over 4},{\pi \over 4}} \right) \to R$$ be defined as $$f(x) = \left\{ {\matrix{ {{{(1 + |\

Let y = y(x) be solution of the differential equation $${\log _{}}\left( {{{dy} \over {dx}}} \right) = 3x + 4y$$, with y

Let f : R $$\to$$ R be a function such that f(2) = 4 and f'(2) = 1. Then, the value of $$\mathop {\lim }\limits_{x \to 2

Let P and Q be two distinct points on a circle which has center at C(2, 3) and which passes through origin O. If OC is p

Let $$\alpha$$, $$\beta$$ be two roots of the equation x2 + (20)1/4x + (5)1/2 = 0. Then $$\alpha$$8 + $$\beta$$8 is equa

The probability that a randomly selected 2-digit number belongs to the set {n $$\in$$ N : (2n $$-$$ 2) is a multiple of

Let $$A = \{ (x,y) \in R \times R|2{x^2} + 2{y^2} - 2x - 2y = 1\} $$, $$B = \{ (x,y) \in R \times R|4{x^2} + 4{y^2} - 16

For real numbers $$\alpha$$ and $$\beta$$, consider the following system of linear equations :x + y $$-$$ z = 2, x + 2y

Let $$\overrightarrow a = \widehat i + \widehat j + \widehat k,\overrightarrow b $$ and $$\overrightarrow c = \widehat

If $${\log _3}2,{\log _3}({2^x} - 5),{\log _3}\left( {{2^x} - {7 \over 2}} \right)$$ are in an arithmetic progression, t

Let the domain of the function$$f(x) = {\log _4}\left( {{{\log }_5}\left( {{{\log }_3}(18x - {x^2} - 77)} \right)} \righ

Let $$f(x) = \left| {\matrix{ {{{\sin }^2}x} & { - 2 + {{\cos }^2}x} & {\cos 2x} \cr {2 + {{\sin }^2}x}

Let $$F:[3,5] \to R$$ be a twice differentiable function on (3, 5) such that $$F(x) = {e^{ - x}}\int\limits_3^x {(3{t^2}

Let S = {1, 2, 3, 4, 5, 6, 7}. Then the number of possible functions f : S $$\to$$ S such that f(m . n) = f(m) . f(n) fo

If $$y = y(x),y \in \left[ {0,{\pi \over 2}} \right)$$ is the solution of the differential equation $$\sec y{{dy} \over

Let $$f:[0,3] \to R$$ be defined by $$f(x) = \min \{ x - [x],1 + [x] - x\} $$ where [x] is the greatest integer less tha

In the given figure, a battery of emf E is connected across a conductor PQ of length 'l' and different area of cross-sec

The number of molecules in one litre of an ideal gas at 300 K and 2 atmospheric pressure with mean kinetic energy 2 $$\t

The relative permittivity of distilled water is 81. The velocity of light in it will be :(Given $$\mu$$r = 1)

List-I List-II (a) MI of the rod (length L, Mass M, about an axis $$ \bot $$ to the rod passing

Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. The masses of A, B and C are

A capacitor of capacitance C = 1 $$\mu$$F is suddenly connected to a battery of 100 volt through a resistance R = 100 $$

In the reported figure, a capacitor is formed by placing a compound dielectric between the plates of parallel plate capa

The figure shows two solid discs with radius R and r respectively. If mass per unit area is same for both, what is the r

In Young's double slit experiment, if the source of light changes from orange to blue then :

In the reported figure, there is a cyclic process ABCDA on a sample of 1 mol of a diatomic gas. The temperature of the g

Assertion A : If A, B, C, D are four points on a semi-circular are with centre at 'O' such that $$\left| {\overrightarro

A light cylindrical vessel is kept on a horizontal surface. Area of base is A. A hole of cross-sectional area 'a' is mad

A particle starts executing simple harmonic motion (SHM) of amplitude 'a' and total energy E. At any instant, its kineti

Two capacitors of capacities 2C and C are joined in parallel and charged up to potential V. The battery is removed and t

A ball is thrown up with a certain velocity so that it reaches a height 'h'. Find the ratio of the two different times o

A 0.07 H inductor and a 12$$\Omega$$ resistor are connected in series to a 220V, 50 Hz ac source. The approximate curren

Two identical tennis balls each having mass 'm' and charge 'q' are suspended from a fixed point by threads of length 'l'

Assertion A : If in five complete rotations of the circular scale, the distance travelled on main scale of the screw gau

Consider an electrical circuit containing a two way switch 'S'. Initially S is open and then T1 is connected to T2. As t

Suppose two planets (spherical in shape) in radii R and 2R, but mass M and 9M respectively have a centre to centre separ

In Bohr's atomic model, the electron is assumed to revolve in a circular orbit of radius 0.5 $$\mathop A\limits^o $$. If

A particle of mass 9.1 $$\times$$ 10$$-$$31 kg travels in a medium with a speed of 106 m/s and a photon of a radiation o

A prism of refractive index n1 and another prism of refractive index n2 are stuck together (as shown in the figure). n1

A stone of mass 20 g is projected from a rubber catapult of length 0.1 m and area of cross section 10$$-$$6 m2 stretched

In a uniform magnetic field, the magnetic needle has a magnetic moment 9.85 $$\times$$ 10$$-$$2 A/m2 and moment of inert