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

Given below are two statement : Statements I : Bromination of phenol in solvent with low polarity such as $$\mathrm{CHCl

The incorrect postulates of the Dalton's atomic theory are : (A) Atoms of different elements differ in mass. (B) Matter

Given below are two statements : Statement I : Nitration of benzene involves the following step - Statement II : Use of

Which of the following gives a positive test with ninhydrin ?

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

Given below are two statements: Statement I: In group 13, the stability of +1 oxidation state increases down the group.

The metal that shows highest and maximum number of oxidation state is :

Number of $$\sigma$$ and $$\pi$$ bonds present in ethylene molecule is respectively :

An organic compound has $$42.1 \%$$ carbon, $$6.4 \%$$ hydrogen and remainder is oxygen. If its molecular weight is 342

For the Compounds : (A) $$\mathrm{H}_3 \mathrm{C}-\mathrm{CH}_2-\mathrm{O}-\mathrm{CH}_2-\mathrm{CH}_2-\mathrm{CH}_3$$ (

The correct order of ligands arranged in increasing field strength.

The number of neutrons present in the more abundant isotope of boron is '$$x$$'. Amorphous boron upon heating with air f

Which one of the following complexes will exhibit the least paramagnetic behaviour ? [Atomic number, $$\mathrm{Cr}=24, \

Molar ionic conductivities of divalent cation and anion are $$57 \mathrm{~S~cm}^2 \mathrm{~mol}^{-1}$$ and $$73 \mathrm{

Identify 'A' in the following reaction :

The statement(s) that are correct about the species $$\mathrm{O}^{2-}, \mathrm{F}^{-}, \mathrm{Na}^{+}$$ and $$\mathrm{M

The reaction at cathode in the cells commonly used in clocks involves.

The following reaction occurs in the Blast furnance where iron ore is reduced to iron metal $$\mathrm{Fe}_2 \mathrm{O}_{

Identify compound (Z) in the following reaction sequence.

The spin-only magnetic moment value of the ion among $$\mathrm{Ti}^{2+}, \mathrm{V}^{2+}, \mathrm{Co}^{3+}$$ and $$\math

The heat of combustion of solid benzoic acid at constant volume is $$-321.30 \mathrm{~kJ}$$ at $$27^{\circ} \mathrm{C}$$

In a borax bead test under hot condition, a metal salt (one from the given) is heated at point B of the flame, resulted

The number of halobenzenes from the following that can be prepared by Sandmeyer's reaction is _________

An artificial cell is made by encapsulating $$0.2 \mathrm{~M}$$ glucose solution within a semipermeable membrane. The os

In the lewis dot structure for $$\mathrm{NO}_2^{-}$$, total number of valence electrons around nitrogen is _________.

The value of Rydberg constant $$(R_H)$$ is $$2.18 \times 10^{-18} \mathrm{~J}$$. The velocity of electron having mass $$

$$9.3 \mathrm{~g}$$ of pure aniline is treated with bromine water at room temperature to give a white precipitate of the

Consider the given chemical reaction sequence : Total sum of oxygen atoms in Product A and Product B are ________.

During Kinetic study of reaction $$\mathrm{2 A+B \rightarrow C+D}$$, the following results were obtained : .tg {border

Let a rectangle ABCD of sides 2 and 4 be inscribed in another rectangle PQRS such that the vertices of the rectangle ABC

Let $$A=\{1,3,7,9,11\}$$ and $$B=\{2,4,5,7,8,10,12\}$$. Then the total number of one-one maps $$f: A \rightarrow B$$, su

Let two straight lines drawn from the origin $$\mathrm{O}$$ intersect the line $$3 x+4 y=12$$ at the points $$\mathrm{P}

If the line $$\frac{2-x}{3}=\frac{3 y-2}{4 \lambda+1}=4-z$$ makes a right angle with the line $$\frac{x+3}{3 \mu}=\frac{

Consider the following two statements : Statement I: For any two non-zero complex numbers $$z_1, z_2,(|z_1|+|z_2|)\left|

Let A and B be two square matrices of order 3 such that $$\mathrm{|A|=3}$$ and $$\mathrm{|B|=2}$$. Then $$|\mathrm{A}^{\

Let a circle C of radius 1 and closer to the origin be such that the lines passing through the point $$(3,2)$$ and paral

Let $$f(x)=x^5+2 x^3+3 x+1, x \in \mathbf{R}$$, and $$g(x)$$ be a function such that $$g(f(x))=x$$ for all $$x \in \math

The coefficients $$a, b, c$$ in the quadratic equation $$a x^2+b x+c=0$$ are chosen from the set $$\{1,2,3,4,5,6,7,8\}$$

If the system of equations $$\begin{array}{r} 11 x+y+\lambda z=-5 \\ 2 x+3 y+5 z=3 \\ 8 x-19 y-39 z=\mu \end{array}$$ ha

The integral $$\int_\limits0^{\pi / 4} \frac{136 \sin x}{3 \sin x+5 \cos x} \mathrm{~d} x$$ is equal to :

If $$\frac{1}{\sqrt{1}+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+\ldots+\frac{1}{\sqrt{99}+\sqrt{100}}=m$$ and $$\frac{1}{1

Let $$\mathrm{d}$$ be the distance of the point of intersection of the lines $$\frac{x+6}{3}=\frac{y}{2}=\frac{z+1}{1}$$

If the function $$f(x)=\frac{\sin 3 x+\alpha \sin x-\beta \cos 3 x}{x^3}, x \in \mathbf{R}$$, is continuous at $$x=0$$,

Let the line $$2 x+3 y-\mathrm{k}=0, \mathrm{k}>0$$, intersect the $$x$$-axis and $$y$$-axis at the points $$\mathrm{A}$

The value of $$\int_\limits{-\pi}^\pi \frac{2 y(1+\sin y)}{1+\cos ^2 y} d y$$ is :

Suppose $$\theta \in\left[0, \frac{\pi}{4}\right]$$ is a solution of $$4 \cos \theta-3 \sin \theta=1$$. Then $$\cos \the

For the function $$f(x)=\sin x+3 x-\frac{2}{\pi}\left(x^2+x\right), \text { where } x \in\left[0, \frac{\pi}{2}\right],$

If $$\mathrm{A}(1,-1,2), \mathrm{B}(5,7,-6), \mathrm{C}(3,4,-10)$$ and $$\mathrm{D}(-1,-4,-2)$$ are the vertices of a qu

If $$y=y(x)$$ is the solution of the differential equation $$\frac{\mathrm{d} y}{\mathrm{~d} x}+2 y=\sin (2 x), y(0)=\fr

The area of the region enclosed by the parabolas $$y=x^2-5 x$$ and $$y=7 x-x^2$$ is ________.

From a lot of 10 items, which include 3 defective items, a sample of 5 items is drawn at random. Let the random variable

Suppose $$\mathrm{AB}$$ is a focal chord of the parabola $$y^2=12 x$$ of length $$l$$ and slope $$\mathrm{m}

The number of ways of getting a sum 16 on throwing a dice four times is ________.

Let $$f$$ be a differentiable function in the interval $$(0, \infty)$$ such that $$f(1)=1$$ and $$\lim _\limits{t \right

If $$S=\{a \in \mathbf{R}:|2 a-1|=3[a]+2\{a \}\}$$, where $$[t]$$ denotes the greatest integer less than or equal to $$t

Let $$a_1, a_2, a_3, \ldots$$ be in an arithmetic progression of positive terms. Let $$A_k=a_1^2-a_2^2+a_3^2-a_4^2+\ldot

Let $$\overrightarrow{\mathrm{a}}=\hat{i}-3 \hat{j}+7 \hat{k}, \overrightarrow{\mathrm{b}}=2 \hat{i}-\hat{j}+\hat{k}$$ a

If the constant term in the expansion of $$\left(1+2 x-3 x^3\right)\left(\frac{3}{2} x^2-\frac{1}{3 x}\right)^9$$ is $$\

The number of distinct real roots of the equation $$|x||x+2|-5|x+1|-1=0$$ is __________.

A body of mass $$50 \mathrm{~kg}$$ is lifted to a height of $$20 \mathrm{~m}$$ from the ground in the two different ways

If $$\mathrm{G}$$ be the gravitational constant and $$\mathrm{u}$$ be the energy density then which of the following qua

An alternating voltage of amplitude $$40 \mathrm{~V}$$ and frequency $$4 \mathrm{~kHz}$$ is applied directly across the

Ratio of radius of gyration of a hollow sphere to that of a solid cylinder of equal mass, for moment of Inertia about th

In hydrogen like system the ratio of coulombian force and gravitational force between an electron and a proton is in the

A simple pendulum doing small oscillations at a place $$R$$ height above earth surface has time period of $$T_1=4 \mathr

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

The heat absorbed by a system in going through the given cyclic process is :

In the given figure $$\mathrm{R}_1=10 \Omega, \mathrm{R}_2=8 \Omega, \mathrm{R}_3=4 \Omega$$ and $$\mathrm{R}_4=8 \Omega

Two conducting circular loops A and B are placed in the same plane with their centres coinciding as shown in figure. The

If the collision frequency of hydrogen molecules in a closed chamber at $$27^{\circ} \mathrm{C}$$ is $$\mathrm{Z}$$, the

Given below are two statements : Statement I : Figure shows the variation of stopping potential with frequency $$(v)$$

Following gates section is connected in a complete suitable circuit. For which of the following combination, bulb will

Given below are two statements : Statement I : When a capillary tube is dipped into a liquid, the liquid neither rises n

Light emerges out of a convex lens when a source of light kept at its focus. The shape of wavefront of the light is :

An electron rotates in a circle around a nucleus having positive charge $$\mathrm{Ze}$$. Correct relation between total

Time periods of oscillation of the same simple pendulum measured using four different measuring clocks were recorded as

The angle between vector $$\vec{Q}$$ and the resultant of $$(2 \vec{Q}+2 \vec{P})$$ and $$(2 \vec{Q}-2 \vec{P})$$ is :

In a co-axial straight cable, the central conductor and the outer conductor carry equal currents in opposite directions.

A wooden block of mass $$5 \mathrm{~kg}$$ rests on a soft horizontal floor. When an iron cylinder of mass $$25 \mathrm{~

The electric field between the two parallel plates of a capacitor of $$1.5 \mu \mathrm{F}$$ capacitance drops to one thi

If three helium nuclei combine to form a carbon nucleus then the energy released in this reaction is ________ $$\times 1

Three blocks $$\mathrm{M_1, M_2, M_3}$$ having masses $$4 \mathrm{~kg}, 6 \mathrm{~kg}$$ and $$10 \mathrm{~kg}$$ respect

Three capacitors of capacitances $$25 \mu \mathrm{F}, 30 \mu \mathrm{F}$$ and $$45 \mu \mathrm{F}$$ are connected in par

In the experiment to determine the galvanometer resistance by half-deflection method, the plot of $$1 / \theta$$ vs the

The density and breaking stress of a wire are $$6 \times 10^4 \mathrm{~kg} / \mathrm{m}^3$$ and $$1.2 \times 10^8 \mathr

An ac source is connected in given series LCR circuit. The rms potential difference across the capacitor of $$20 \mu \ma

A body moves on a frictionless plane starting from rest. If $$\mathrm{S_n}$$ is distance moved between $$\mathrm{t=n-1}$

In Young's double slit experiment, carried out with light of wavelength $$5000~\mathop A\limits^o$$, the distance betwee

A 2A current carrying straight metal wire of resistance $$1 \Omega$$, resistivity $$2 \times 10^{-6} \Omega \mathrm{m}$$