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Consider the oxides of group 14 elements $$\mathrm{SiO}_2, \mathrm{GeO}_2, \mathrm{SnO}_2, \mathrm{PbO}_2, \mathrm{CO}$$

The compound that is white in color is

Give below are two statements: Statement - I: Noble gases have very high boiling points. Statement - II: Noble gases are

A species having carbon with sextet of electrons and can act as electrophile is called

Identify the mixture that shows positive deviations from Raoult's Law

The correct statements from following are: A. The strength of anionic ligands can be explained by crystal field theory.

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

The product (C) in the below mentioned reaction is : $$\mathrm{CH}_3-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{Br} \xrightarro

Identify the factor from the following that does not affect electrolytic conductance of a solution.

Integrated rate law equation for a first order gas phase reaction is given by (where $$\mathrm{P}_{\mathrm{i}}$$ is init

For the given reaction, choose the correct expression of $$\mathrm{K}_{\mathrm{C}}$$ from the following :- $$\mathrm{Fe}

The linear combination of atomic orbitals to form molecular orbitals takes place only when the combining atomic orbitals

Identify correct statements from below: A. The chromate ion is square planar. B. Dichromates are generally prepared from

The metals that are employed in the battery industries are A. $$\mathrm{Fe}$$ B. $$\mathrm{Mn}$$ C. $$\mathrm{Ni}$$ D. $

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'Adsorption' principle is used for which of the following purification method?

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R: Assertion A: $$\ma

Given below are two statements: Statement I: IUPAC name of $$\mathrm{HO}-\mathrm{CH}_2-\left(\mathrm{CH}_2\right)_3-\mat

The correct sequence of electron gain enthalpy of the elements listed below is A. Ar B. Br C. F D. S Choose the most app

Consider the following reaction at $$298 \mathrm{~K} \cdot \frac{3}{2} \mathrm{O}_{2(g)} \rightleftharpoons \mathrm{O}_{

The product of the following reaction is P. The number of hydroxyl groups present in the product P is ________.

The ionization energy of sodium in $$\mathrm{~kJ} \mathrm{~mol}^{-1}$$, if electromagnetic radiation of wavelength $$242

Number of alkanes obtained on electrolysis of a mixture of $$\mathrm{CH}_3 \mathrm{COONa}$$ and $$\mathrm{C}_2 \mathrm{H

The 'Spin only' Magnetic moment for $$\left[\mathrm{Ni}\left(\mathrm{NH}_3\right)_6\right]^{2+}$$ is _________ $$\times

One Faraday of electricity liberates $$x \times 10^{-1}$$ gram atom of copper from copper sulphate. $$x$$ is ________.

Number of moles of methane required to produce $$22 \mathrm{~g} \mathrm{~CO}_{2(\mathrm{~g})}$$ after combustion is $$\m

Molar mass of the salt from $$\mathrm{NaBr}, \mathrm{NaNO}_3, \mathrm{KI}$$ and $$\mathrm{CaF}_2$$ which does not evolve

The total number of hydrogen atoms in product A and product B is _________.

The number of species from the following in which the central atom uses $$\mathrm{sp}^3$$ hybrid orbitals in its bonding

$$\lim _\limits{x \rightarrow 0} \frac{e^{2|\sin x|}-2|\sin x|-1}{x^2}$$

For $$\alpha, \beta, \gamma \neq 0$$, if $$\sin ^{-1} \alpha+\sin ^{-1} \beta+\sin ^{-1} \gamma=\pi$$ and $$(\alpha+\bet

Let $$\mathrm{S}$$ be the set of positive integral values of $$a$$ for which $$\frac{a x^2+2(a+1) x+9 a+4}{x^2-8 x+32}

Let $$\alpha, \beta, \gamma, \delta \in \mathbb{Z}$$ and let $$A(\alpha, \beta), B(1,0), C(\gamma, \delta)$$ and $$D(1,2

For $$0 (I) If $$\alpha \in(-1,0)$$, then $$b$$ cannot be the geometric mean of $a$ and $$c$$ (II) If $$\alpha \in(0,1)

If $$f(x)=\frac{4 x+3}{6 x-4}, x \neq \frac{2}{3}$$ and $$(f \circ f)(x)=g(x)$$, where $$g: \mathbb{R}-\left\{\frac{2}{3

Let $$y=y(x)$$ be the solution of the differential equation $$\frac{d y}{d x}=\frac{(\tan x)+y}{\sin x(\sec x-\sin x \ta

Three rotten apples are accidently mixed with fifteen good apples. Assuming the random variable $$x$$ to be the number o

Let $$\vec{a}=3 \hat{i}+\hat{j}-2 \hat{k}, \vec{b}=4 \hat{i}+\hat{j}+7 \hat{k}$$ and $$\vec{c}=\hat{i}-3 \hat{j}+4 \hat{

The sum of the series $$\frac{1}{1-3 \cdot 1^2+1^4}+\frac{2}{1-3 \cdot 2^2+2^4}+\frac{3}{1-3 \cdot 3^2+3^4}+\ldots$$ up

Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue and 15 orange marbles, with replacem

The distance of the point $$Q(0,2,-2)$$ form the line passing through the point $$P(5,-4, 3)$$ and perpendicular to the

If the system of linear equations $$\begin{aligned} & x-2 y+z=-4 \\ & 2 x+\alpha y+3 z=5 \\ & 3 x-y+\beta z=3 \end{align

Let $$g(x)$$ be a linear function and $$f(x)=\left\{\begin{array}{cl}g(x) & , x \leq 0 \\ \left(\frac{1+x}{2+x}\right)^{

The area of the region $$\left\{(x, y): y^2 \leq 4 x, x0, x \neq 3\right\}$$ is

The solution curve of the differential equation $$y \frac{d x}{d y}=x\left(\log _e x-\log _e y+1\right), x>0, y>0$$ pas

Let $$a$$ be the sum of all coefficients in the expansion of $$\left(1-2 x+2 x^2\right)^{2023}\left(3-4 x^2+2 x^3\right)

$$\text { If } f(x)=\left|\begin{array}{ccc} x^3 & 2 x^2+1 & 1+3 x \\ 3 x^2+2 & 2 x & x^3+6 \\ x^3-x & 4 & x^2-2 \end{ar

If one of the diameters of the circle $$x^2+y^2-10 x+4 y+13=0$$ is a chord of another circle $$\mathrm{C}$$, whose cente

If the foci of a hyperbola are same as that of the ellipse $$\frac{x^2}{9}+\frac{y^2}{25}=1$$ and the eccentricity of th

If $$\alpha$$ denotes the number of solutions of $$|1-i|^x=2^x$$ and $$\beta=\left(\frac{|z|}{\arg (z)}\right)$$, where

In the expansion of $$(1+x)\left(1-x^2\right)\left(1+\frac{3}{x}+\frac{3}{x^2}+\frac{1}{x^3}\right)^5, x \neq 0$$, the s

Let $$\vec{a}$$ and $$\vec{b}$$ be two vectors such that $$|\vec{a}|=1,|\vec{b}|=4$$, and $$\vec{a} \cdot \vec{b}=2$$. I

If the integral $$525 \int_\limits0^{\frac{\pi}{2}} \sin 2 x \cos ^{\frac{11}{2}} x\left(1+\operatorname{Cos}^{\frac{5}{

Let $$S=(-1, \infty)$$ and $$f: S \rightarrow \mathbb{R}$$ be defined as $$f(x)=\int_\limits{-1}^x\left(e^t-1\right)^{11

Let $$\mathrm{Q}$$ and $$\mathrm{R}$$ be the feet of perpendiculars from the point $$\mathrm{P}(a, a, a)$$ on the lines

Let the foci and length of the latus rectum of an ellipse $$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1, a>b b e( \pm 5,0)$$ and $

The total number of words (with or without meaning) that can be formed out of the letters of the word 'DISTRIBUTION' tak

Let $$A=\{1,2,3,4\}$$ and $$R=\{(1,2),(2,3),(1,4)\}$$ be a relation on $$\mathrm{A}$$. Let $$\mathrm{S}$$ be the equival

Let $$f: \mathbb{R} \rightarrow \mathbb{R}$$ be a function defined by $$f(x)=\frac{4^x}{4^x+2}$$ and $$M=\int_\limits{f(

Four identical particles of mass $$m$$ are kept at the four corners of a square. If the gravitational force exerted on o

Two charges $$q$$ and $$3 q$$ are separated by a distance '$$r$$' in air. At a distance $$x$$ from charge $$q$$, the res

The given figure represents two isobaric processes for the same mass of an ideal gas, then

In the given arrangement of a doubly inclined plane two blocks of masses $$M$$ and $$m$$ are placed. The blocks are conn

The relation between time '$$t$$' and distance '$$x$$' is $$t=\alpha x^2+\beta x$$, where $$\alpha$$ and $$\beta$$ are c

An artillery piece of mass $$M_1$$ fires a shell of mass $$M_2$$ horizontally. Instantaneously after the firing, the rat

The parameter that remains the same for molecules of all gases at a given temperature is :

A rigid wire consists of a semicircular portion of radius $$R$$ and two straight sections. The wire is partially immerge

When a metal surface is illuminated by light of wavelength $$\lambda$$, the stopping potential is $$8 \mathrm{~V}$$. Whe

The refractive index of a prism with apex angle $$A$$ is $$\cot A / 2$$. The angle of minimum deviation is :

The fundamental frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe. If leng

If the wavelength of the first member of Lyman series of hydrogen is $$\lambda$$. The wavelength of the second member wi

A coil is places perpendicular to a magnetic field of $$5000 \mathrm{~T}$$. When the field is changed to $$3000 \mathrm{

A coin is placed on a disc. The coefficient of friction between the coin and the disc is $$\mu$$. If the distance of the

Two conductors have the same resistances at $$0^{\circ} \mathrm{C}$$ but their temperature coefficients of resistance ar

If the percentage errors in measuring the length and the diameter of a wire are $$0.1 \%$$ each. The percentage error in

A small steel ball is dropped into a long cylinder containing glycerine. Which one of the following is the correct repre

A force is represented by $$F=a x^2+b t^{\frac{1}{2}}$$ where $$x=$$ distance and $$t=$$ time. The dimensions of $$b^2 /

In a plane EM wave, the electric field oscillates sinusoidally at a frequency of $$5 \times 10^{10} \mathrm{~Hz}$$ and a

Identify the logic operation performed by the given circuit.

A solid circular disc of mass $$50 \mathrm{~kg}$$ rolls along a horizontal floor so that its center of mass has a speed

An electron moves through a uniform magnetic field $$\vec{B}=B_0 \hat{i}+2 B_0 \hat{j} T$$. At a particular instant of t

A parallel plate capacitor with plate separation $$5 \mathrm{~mm}$$ is charged up by a battery. It is found that on intr

The depth below the surface of sea to which a rubber ball be taken so as to decrease its volume by $$0.02 \%$$ is ______

A body starts falling freely from height $$H$$ hits an inclined plane in its path at height $$h$$. As a result of this p

A particle performs simple harmonic motion with amplitude $$A$$. Its speed is increased to three times at an instant whe

The mass defect in a particular reaction is $$0.4 \mathrm{~g}$$. The amount of energy liberated is $$n \times 10^7 \math

A small square loop of wire of side $$l$$ is placed inside a large square loop of wire of side $$L\left(L=l^2\right)$$.

Equivalent resistance of the following network is __________ $$\Omega$$.

Two waves of intensity ratio $$1: 9$$ cross each other at a point. The resultant intensities at that point, when (a) Wav