Match List - I with List - II : List - I Test/Reagents/Observation(s) List - II Species detected

The structure of X is :

An unsaturated hydrocarbon X on ozonolysis gives A. Compound A when warmed with ammonical silver nitrate forms a bright

The exact volumes of 1 M NaOH solution required to neutralise 50 mL of 1 M H3PO3 solution and 100 mL of 2 M H3PO2 soluti

The characteristics of elements X, Y and Z with atomic numbers, respectively, 33, 53 and 83 are :

Which of the following is least basic?

Ammonolysis of Alkyl halides followed by the treatment with NaOH solution can be used to prepare primary, secondary and

The secondary structure of protein is stabilised by:

Fex2 and Fey3 are known when x and y are :

Identify the elements X and Y using the ionisation energy values given below : Ionization energy (kJ/mol)

In the above reaction, the reagent ''A'' is :

Arrange the following metal complex/compounds in the increasing order of spin only magnetic moment. Presume all the thre

Identify the reagent(s) 'A' and condition(s) for the reaction

Statement I : Sodium hydride can be used as an oxidising agent.Statement II : The lone pair of electrons on nitrogen in

[Ti(H2O)6]3+ absorbs light of wavelength 498 nm during a d $$-$$ d transition. The octahedral splitting energy for the a

A 5.0 m mol dm$$-$$3 aqueous solution of KCl has a conductance of 0.55 mS when measured in a cell of cell constant 1.3 c

At 25$$^\circ$$C, 50 g of iron reacts with HCl to form FeCl2. The evolved hydrogen gas expands against a constant pressu

The number of orbitals with n = 5, m1 = +2 is ___________. (Round off to the Nearest Integer).

A and B decompose via first order kinetics with half-lives 54.0 min and 18.0 min respectively. Starting from an equimola

In Duma's method of estimation of nitrogen, 0.1840 g of an organic compound gave 30 mL of nitrogen collected at 287 K an

When 35 mL of 0.15 M lead nitrate solution is mixed with 20 mL of 0.12 M chromic sulphate solution, _________ $$\times$$

Sulphurous acid (H2SO3) has Ka1 = 1.7 $$\times$$ 10$$-$$2 and Ka2 = 6.4 $$\times$$ 10$$-$$8. The pH of 0.588 M H2SO3 is

At 363 K, the vapour pressure of A is 21 kPa and that of B is 18 kPa. One mole of A and 2 moles of B are mixed. Assuming

If y = y(x) is the solution of the differential equation $${{dy} \over {dx}}$$ + (tan x) y = sin x, $$0 \le x \le {\pi

Let f be a real valued function, defined on R $$-$$ {$$-$$1, 1} and given by f(x) = 3 loge $$\left| {{{x - 1} \over {x +

Let $$\overrightarrow a $$ = $$\widehat i$$ + 2$$\widehat j$$ $$-$$ 3$$\widehat k$$ and $$\overrightarrow b = 2\widehat

If the foot of the perpendicular from point (4, 3, 8) on the line $${L_1}:{{x - a} \over l} = {{y - 2} \over 3} = {{z -

Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of the line segments AB, CD, BC, DA respectively. Let

Let f : S $$ \to $$ S where S = (0, $$\infty $$) be a twice differentiable function such that f(x + 1) = xf(x). If g : S

Consider the integral $$I = \int_0^{10} {{{[x]{e^{[x]}}} \over {{e^{x - 1}}}}dx} $$, where [x] denotes the greatest inte

Let C1 be the curve obtained by the solution of differential equation $$2xy{{dy} \over {dx}} = {y^2} - {x^2},x > 0$$.

Let P(x) = x2 + bx + c be a quadratic polynomial with real coefficients such that $$\int_0^1 {P(x)dx} $$ = 1 and P(x) le

Let A = {2, 3, 4, 5, ....., 30} and '$$ \simeq $$' be an equivalence relation on A $$\times$$ A, defined by (a, b) $$ \s

The least value of |z| where z is complex number which satisfies the inequality $$\exp \left( {{{(|z| + 3)(|z| - 1)} \ov

Let $$\alpha$$ $$\in$$ R be such that the function $$f(x) = \left\{ {\matrix{ {{{{{\cos }^{ - 1}}(1 - {{\{ x\} }^2}){

Given that the inverse trigonometric functions take principal values only. Then, the number of real values of x which sa

Let the lengths of intercepts on x-axis and y-axis made by the circle x2 + y2 + ax + 2ay + c = 0, (a < 0) be 2$${\sqr

Let A($$-$$1, 1), B(3, 4) and C(2, 0) be given three points. A line y = mx, m > 0, intersects lines AC and BC at poin

Let A denote the event that a 6-digit integer formed by 0, 1, 2, 3, 4, 5, 6 without repetitions, be divisible by 3. Then

The maximum value of $$f(x) = \left| {\matrix{ {{{\sin }^2}x} & {1 + {{\cos }^2}x} & {\cos 2x} \cr {1 +

Let $${1 \over {16}}$$, a and b be in G.P. and $${1 \over a}$$, $${1 \over b}$$, 6 be in A.P., where a, b > 0. Then 7

For real numbers $$\alpha$$, $$\beta$$, $$\gamma$$ and $$\delta $$, if $$\int {{{({x^2} - 1) + {{\tan }^{ - 1}}\left( {{

Let f : R $$ \to $$ R and g : R $$ \to $$ R be defined as $$f(x) = \left\{ {\matrix{ {x + a,} & {x < 0} \cr

Consider the statistics of two sets of observations as follows : Size Mean Variance Obs

Let $$A = \left[ {\matrix{ {{a_1}} \cr {{a_2}} \cr } } \right]$$ and $$B = \left[ {\matrix{ {{b_1}} \cr

What will be the nature of flow of water from a circular tap, when its flow rate increased from 0.18 L/min to 0.48 L/min

The refractive index of a converging lens is 1.4. What will be the focal length of this lens if it is placed in a medium

The following logic gate is equivalent to :

Statement I : A cyclist is moving on an unbanked road with a speed of 7 kmh$$-$$1 and takes a sharp circular turn along

A large block of wood of mass M = 5.99 kg is hanging from two long massless cords. A bullet of mass m = 10 g is fired in

A mosquito is moving with a velocity $$\overrightarrow v = 0.5{t^2}\widehat i + 3t\widehat j + 9\widehat k$$ m/s and ac

Red light differs from blue light as they have :

The de-Broglie wavelength associated with an electron and a proton were calculated by accelerating them through same pot

Calculate the value of mean free path ($$\lambda$$) for oxygen molecules at temperature 27$$^\circ$$C and pressure 1.01

A charge Q is moving $$\overrightarrow {dl} $$ distance in the magnetic field $$\overrightarrow {B} $$. Find the value o

In order to determine the Young's Modulus of a wire of radius 0.2 cm (measured using a scale of least count = 0.001 cm)

A resistor develops 500 J of thermal energy in 20 s when a current of 1.5A is passed through it. If the current is incre

Find out the surface charge density at the intersection of point x = 3 m plane and x-axis, in the region of uniform line

The magnetic field in a region is given by $$\overrightarrow B = {B_o}\left( {{x \over a}} \right)\widehat k$$. A squar

A bimetallic strip consists of metals A and B. It is mounted rigidly as shown. The metal A has higher coefficient of exp

For the given circuit, comment on the type of transformer used.

A solid disc of radius 'a' and mass 'm' rolls down without slipping on an inclined plane making an angle $$\theta$$ with

The energy dissipated by a resistor is 10 mJ in 1 s when an electric current of 2 mA flows through it. The resistance is

In a parallel plate capacitor set up, the plate area of capacitor is 2 m2 and the plates are separated by 1 m. If the sp

If one wants to remove all the mass of the earth to infinity in order to break it up completely.The amount of energy tha

A body of mass 2 kg moves under a force of $$\left( {2\widehat i + 3\widehat j + 5\widehat k} \right)$$N. It starts from

A closed organ pipe of length L and an open organ pipe contain gases of densities $$\rho$$1 and $$\rho$$2 respectively.

A swimmer can swim with velocity of 12 km/h in still water. Water flowing in a river has velocity 6 km/h. The direction

A deviation of 2$$^\circ$$ is produced in the yellow ray when prism of crown and flint glass are achromatically combined

A force $$\overrightarrow F $$ = $${4\widehat i + 3\widehat j + 4\widehat k}$$ is applied on an intersection point of x