Formation of which complex, among the following, is not a confirmatory test of $$\mathrm{Pb}^{2+}$$ ions :

Element not present in Nessler's reagent is :

Consider the following reaction that goes from A to B in three steps as shown below: Choose the correct option

Find out the major product from the following reaction.

If the radius of the first orbit of hydrogen atom is $$\alpha_{0}$$, then de Broglie's wavelength of electron in $$3^{\t

The product, which is not obtained during the electrolysis of brine solution is :

Which one of the following elements will remain as liquid inside pure boiling water?

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

Group-13 elements react with $$\mathrm{O}_{2}$$ in amorphous form to form oxides of type $$\mathrm{M}_{2} \mathrm{O}_{3}

During the reaction of permanganate with thiosulphate, the change in oxidation of manganese occurs by value of 3. Identi

In the following reaction, 'B' is

The IUPAC name of $$\mathrm{K}_{3}\left[\mathrm{Co}\left(\mathrm{C}_{2} \mathrm{O}_{4}\right)_{3}\right]$$ is:-

The strongest acid from the following is

Match List I with List II .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:soli

From the figure of column chromatography given below, identify incorrect statements. A. Compound 'c' is more polar than

Ion having highest hydration enthalpy among the given alkaline earth metal ions is :

Structures of $$\mathrm{BeCl}_{2}$$ in solid state, vapour phase and at very high temperature respectively are :

The group of chemicals used as pesticide is :

Given below are two statements: Statement I: Morphine is a narcotic analgesic. It helps in relieving pain without produc

The volume of $$0.02 ~\mathrm{M}$$ aqueous $$\mathrm{HBr}$$ required to neutralize $$10.0 \mathrm{~mL}$$ of $$0.01 ~\mat

The number of species having a square planar shape from the following is __________. $$\mathrm{XeF}_{4}, \mathrm{SF}_{4}

The standard reduction potentials at $$298 \mathrm{~K}$$ for the following half cells are given below: $$\mathrm{NO}_{3}

Consider the following data Heat of combustion of $$\mathrm{H}_{2}(\mathrm{g})\quad\quad=-241.8 \mathrm{~kJ} \mathrm{~mo

Number of isomeric aromatic amines with molecular formula $$\mathrm{C}_{8} \mathrm{H}_{11} \mathrm{~N}$$, which can be s

The number of colloidal systems from the following, which will have 'liquid' as the dispersion medium, is ___________. G

The equilibrium composition for the reaction $$\mathrm{PCl}_{3}+\mathrm{Cl}_{2} \rightleftharpoons \mathrm{PCl}_{5}$$ at

In an ice crystal, each water molecule is hydrogen bonded to ____________ neighbouring molecules.

Among the following, the number of compounds which will give positive iodoform reaction is _________ (a) 1-Phenylbutan-2

Number of crystal systems from the following where body centred unit cell can be found, is ____________. Cubic, tetragon

Consider the following pairs of solution which will be isotonic at the same temperature. The number of pairs of solution

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

The area bounded by the curves $$y=|x-1|+|x-2|$$ and $$y=3$$ is equal to :

All the letters of the word PUBLIC are written in all possible orders and these words are written as in a dictionary wi

A plane P contains the line of intersection of the plane $$\vec{r} \cdot(\hat{i}+\hat{j}+\hat{k})=6$$ and $$\vec{r} \cdo

If $$\operatorname{gcd}~(\mathrm{m}, \mathrm{n})=1$$ and $$1^{2}-2^{2}+3^{2}-4^{2}+\ldots . .+(2021)^{2}-(2022)^{2}+(20

Let $$a \neq b$$ be two non-zero real numbers. Then the number of elements in the set $$X=\left\{z \in \mathbb{C}: \oper

Let $$P$$ be a square matrix such that $$P^{2}=I-P$$. For $$\alpha, \beta, \gamma, \delta \in \mathbb{N}$$, if $$P^{\alp

Among the statements : (S1) : $$2023^{2022}-1999^{2022}$$ is divisible by 8 (S2) : $$13(13)^{n}-12 n-13$$ is divisible b

If the solution curve $$f(x, y)=0$$ of the differential equation $$\left(1+\log _{e} x\right) \frac{d x}{d y}-x \log _{

Let the vectors $$\vec{a}, \vec{b}, \vec{c}$$ represent three coterminous edges of a parallelopiped of volume V. Then th

If the tangents at the points $$\mathrm{P}$$ and $$\mathrm{Q}$$ on the circle $$x^{2}+y^{2}-2 x+y=5$$ meet at the point

Let $$f(x)$$ be a function satisfying $$f(x)+f(\pi-x)=\pi^{2}, \forall x \in \mathbb{R}$$. Then $$\int_\limits{0}^{\pi}

Among the statements (S1) : $$(p \Rightarrow q) \vee((\sim p) \wedge q)$$ is a tautology (S2) : $$(q \Rightarrow p) \Rig

Let the line $$\mathrm{L}$$ pass through the point $$(0,1,2)$$, intersect the line $$\frac{x-1}{2}=\frac{y-2}{3}=\frac{z

$$\lim _\limits{n \rightarrow \infty}\left\{\left(2^{\frac{1}{2}}-2^{\frac{1}{3}}\right)\left(2^{\frac{1}{2}}-2^{\frac{1

In a group of 100 persons 75 speak English and 40 speak Hindi. Each person speaks at least one of the two languages. If

The sum of all values of $$\alpha$$, for which the points whose position vectors are $$\hat{i}-2 \hat{j}+3 \hat{k}, 2 \h

Three dice are rolled. If the probability of getting different numbers on the three dice is $$\frac{p}{q}$$, where $$p$$

For the system of equations $$x+y+z=6$$ $$x+2 y+\alpha z=10$$ $$x+3 y+5 z=\beta$$, which one of the following is NOT tru

Let the sets A and B denote the domain and range respectively of the function $$f(x)=\frac{1}{\sqrt{\lceil x\rceil-x}}$$

If the mean and variance of the frequency distribution .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-

Let the eccentricity of an ellipse $$\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$$ is reciprocal to that of the hyperbola

The number of 4-letter words, with or without meaning, each consisting of 2 vowels and 2 consonants, which can be formed

Let a curve $$y=f(x), x \in(0, \infty)$$ pass through the points $$P\left(1, \frac{3}{2}\right)$$ and $$Q\left(a, \frac{

The value of $$\tan 9^{\circ}-\tan 27^{\circ}-\tan 63^{\circ}+\tan 81^{\circ}$$ is __________.

For $$\alpha, \beta, z \in \mathbb{C}$$ and $$\lambda > 1$$, if $$\sqrt{\lambda-1}$$ is the radius of the circle $$|z-\a

If the lines $$\frac{x-1}{2}=\frac{2-y}{-3}=\frac{z-3}{\alpha}$$ and $$\frac{x-4}{5}=\frac{y-1}{2}=\frac{z}{\beta}$$ int

If $$(20)^{19}+2(21)(20)^{18}+3(21)^{2}(20)^{17}+\ldots+20(21)^{19}=k(20)^{19}$$, then $$k$$ is equal to ___________.

The number of points, where the curve $$y=x^{5}-20 x^{3}+50 x+2$$ crosses the $$\mathrm{x}$$-axis, is ____________.

Let $$f(x)=\frac{x}{\left(1+x^{n}\right)^{\frac{1}{n}}}, x \in \mathbb{R}-\{-1\}, n \in \mathbb{N}, n > 2$$. If $$f^{n}(

A particle starts with an initial velocity of $$10.0 \mathrm{~ms}^{-1}$$ along $$x$$-direction and accelerates uniformly

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

The temperature of an ideal gas is increased from $$200 \mathrm{~K}$$ to $$800 \mathrm{~K}$$. If r.m.s. speed of gas at

The energy density associated with electric field $$\vec{E}$$ and magnetic field $$\vec{B}$$ of an electromagnetic wave

A 2 meter long scale with least count of $$0.2 \mathrm{~cm}$$ is used to measure the locations of objects on an optical

Given below are two statements: one is labelled as Assertion $$\mathbf{A}$$ and the other is labelled as Reason $$\mathb

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

A capacitor of capacitance $$150.0 ~\mu \mathrm{F}$$ is connected to an alternating source of emf given by $$\mathrm{E}=

Figure shows a part of an electric circuit. The potentials at points $$a, b$$ and $$c$$ are $$30 \mathrm{~V}, 12 \mathrm

As shown in the figure, a particle is moving with constant speed $$\pi ~\mathrm{m} / \mathrm{s}$$. Considering its motio

The work functions of Aluminium and Gold are $$4.1 ~\mathrm{eV}$$ and and $$5.1 ~\mathrm{eV}$$ respectively. The ratio o

A body cools in 7 minutes from $$60^{\circ} \mathrm{C}$$ to $$40^{\circ} \mathrm{C}$$. The temperature of the surroundin

A dipole comprises of two charged particles of identical magnitude $$q$$ and opposite in nature. The mass 'm' of the pos

The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is:

A student is provided with a variable voltage source $$\mathrm{V}$$, a test resistor $$R_{T}=10 ~\Omega$$, two identical

A small particle of mass $$m$$ moves in such a way that its potential energy $$U=\frac{1}{2} m ~\omega^{2} r^{2}$$ where

A child of mass $$5 \mathrm{~kg}$$ is going round a merry-go-round that makes 1 rotation in $$3.14 \mathrm{~s}$$. The ra

The weight of a body on the surface of the earth is $$100 \mathrm{~N}$$. The gravitational force on it when taken at a h

For an amplitude modulated wave the minimum amplitude is $$3 \mathrm{~V}$$, while the modulation index is $$60 \%$$. The

Choose the incorrect statement from the following:

Experimentally it is found that $$12.8 ~\mathrm{eV}$$ energy is required to separate a hydrogen atom into a proton and a

Two concentric circular coils with radii $$1 \mathrm{~cm}$$ and $$1000 \mathrm{~cm}$$, and number of turns 10 and 200 re

As shown in the figure, two parallel plate capacitors having equal plate area of $$200 \mathrm{~cm}^{2}$$ are joined in

A body is dropped on ground from a height '$$h_{1}$$' and after hitting the ground, it rebounds to a height '$$h_{2}$$'.

As shown in the figure, the voltmeter reads $$2 \mathrm{~V}$$ across $$5 ~\Omega$$ resistor. The resistance of the voltm

A proton with a kinetic energy of $$2.0 ~\mathrm{eV}$$ moves into a region of uniform magnetic field of magnitude $$\fra

A simple pendulum with length $$100 \mathrm{~cm}$$ and bob of mass $$250 \mathrm{~g}$$ is executing S.H.M. of amplitude

A metal block of mass $$\mathrm{m}$$ is suspended from a rigid support through a metal wire of diameter $$14 \mathrm{~mm

A ring and a solid sphere rotating about an axis passing through their centers have same radii of gyration. The axis of

A beam of light consisting of two wavelengths $$7000~\mathop A\limits^o $$ and $$5500~\mathop A\limits^o $$ is used to o