Which of the following pair of molecules contain odd electron molecule and an expanded octet molecule?

$$ \mathrm{N}_{2(\mathrm{~g})}+3 \mathrm{H}_{2(\mathrm{~g})} \rightleftharpoons 2 \mathrm{NH}_{3(\mathrm{~g})} $$ $$20 \

The first ionization enthalpy of Na, Mg and Si, respectively, are : 496, 737 and $$786 \mathrm{~kJ} \mathrm{~mol}^{-1}$$

The reaction of zinc with excess of aqueous alkali, evolves hydrogen gas and gives :

Number of lone pairs of electrons in the central atom of $$\mathrm{SCl}_{2}, \mathrm{O}_{3}, \mathrm{ClF}_{3}$$ and $$\m

In following pairs, the one in which both transition metal ions are colourless is :

In neutral or faintly alkaline medium, $$\mathrm{KMnO}_{4}$$ being a powerful oxidant can oxidize, thiosulphate almost q

Which among the following is the strongest Bronsted base?

Which among the following pairs of the structures will give different products on ozonolysis? (Consider the double bonds

Considering the above reactions, the compound 'A' and compound 'B' respectively are :

Consider the above reaction sequence, the Product 'C' is :

Consider the above reaction, the compound 'A' is :

Which among the following represent reagent 'A'?

Consider the following reaction sequence: The product 'B' is :

A compound 'X' is acidic and it is soluble in NaOH solution, but insoluble in NaHCO3 solution. Compound 'X' also gives v

Resistance of a conductivity cell (cell constant $$129 \mathrm{~m}^{-1}$$) filled with $$74.5 \,\mathrm{ppm}$$ solution

The minimum uncertainty in the speed of an electron in an one dimensional region of length $$2 \mathrm{a}_{\mathrm{o}}$$

When 600 mL of 0.2 M HNO3 is mixed with $$400 \mathrm{~mL}$$ of 0.1 M NaOH solution in a flask, the rise in temperature

If $$\mathrm{O}_{2}$$ gas is bubbled through water at $$303 \mathrm{~K}$$, the number of millimoles of $$\mathrm{O}_{2}$

If the solubility product of PbS is 8 $$\times$$ 10$$-$$28, then the solubility of PbS in pure water at 298 K is x $$\ti

The reaction between X and Y is first order with respect to X and zero order with respect to Y. .tg {border-collapse:c

In a linear tetrapeptide (Constituted with different amino acids), (number of amino acids) $$-$$ (number of peptide bond

In bromination of Propyne, with Bromine, 1, 1, 2, 2-tetrabromopropane is obtained in 27% yield. The amount of 1, 1, 2, 2

$$\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{3-}$$ should be an inner orbital complex. Ignoring the pairing energy, the

Let R be a relation from the set $$\{1,2,3, \ldots, 60\}$$ to itself such that $$R=\{(a, b): b=p q$$, where $$p, q \geqs

If $$z=2+3 i$$, then $$z^{5}+(\bar{z})^{5}$$ is equal to :

Let A and B be two $$3 \times 3$$ non-zero real matrices such that AB is a zero matrix. Then

If $$\frac{1}{(20-a)(40-a)}+\frac{1}{(40-a)(60-a)}+\ldots+\frac{1}{(180-a)(200-a)}=\frac{1}{256}$$, then the maximum val

If $$\lim\limits_{x \rightarrow 0} \frac{\alpha \mathrm{e}^{x}+\beta \mathrm{e}^{-x}+\gamma \sin x}{x \sin ^{2} x}=\frac

The integral $$\int\limits_{0}^{\frac{\pi}{2}} \frac{1}{3+2 \sin x+\cos x} \mathrm{~d} x$$ is equal to :

Let the solution curve $$y=y(x)$$ of the differential equation $$\left(1+\mathrm{e}^{2 x}\right)\left(\frac{\mathrm{d} y

Let a line L pass through the point of intersection of the lines $$b x+10 y-8=0$$ and $$2 x-3 y=0, \mathrm{~b} \in \math

Let the circumcentre of a triangle with vertices A(a, 3), B(b, 5) and C(a, b), ab > 0 be P(1,1). If the line AP intersec

Let $$\hat{a}$$ and $$\hat{b}$$ be two unit vectors such that the angle between them is $$\frac{\pi}{4}$$. If $$\theta$$

If $$f(\alpha)=\int\limits_{1}^{\alpha} \frac{\log _{10} \mathrm{t}}{1+\mathrm{t}} \mathrm{dt}, \alpha>0$$, then $$f\lef

The area of the region $$\left\{(x, y):|x-1| \leq y \leq \sqrt{5-x^{2}}\right\}$$ is equal to :

Let the focal chord of the parabola $$\mathrm{P}: y^{2}=4 x$$ along the line $$\mathrm{L}: y=\mathrm{m} x+\mathrm{c}, \m

The number of points, where the function $$f: \mathbf{R} \rightarrow \mathbf{R}$$, $$f(x)=|x-1| \cos |x-2| \sin |x-1|+(x

Let $$S=\{1,2,3, \ldots, 2022\}$$. Then the probability, that a randomly chosen number n from the set S such that $$\mat

Let $$f(x)=3^{\left(x^{2}-2\right)^{3}+4}, x \in \mathrm{R}$$. Then which of the following statements are true? $$\mathr

Let the mean and the variance of 20 observations $$x_{1}, x_{2}, \ldots, x_{20}$$ be 15 and 9 , respectively. For $$\alp

Let $$a_{1}, a_{2}, a_{3}, \ldots$$ be an A.P. If $$\sum\limits_{r=1}^{\infty} \frac{a_{r}}{2^{r}}=4$$, then $$4 a_{2}$$

Let the ratio of the fifth term from the beginning to the fifth term from the end in the binomial expansion of $$\left(\

The number of matrices of order $$3 \times 3$$, whose entries are either 0 or 1 and the sum of all the entries is a prim

Let p and p + 2 be prime numbers and let $$ \Delta=\left|\begin{array}{ccc} \mathrm{p} ! & (\mathrm{p}+1) ! & (\mathrm{p

Let $$S=\{4,6,9\}$$ and $$T=\{9,10,11, \ldots, 1000\}$$. If $$A=\left\{a_{1}+a_{2}+\ldots+a_{k}: k \in \mathbf{N}, a_{1}

Let the mirror image of a circle $$c_{1}: x^{2}+y^{2}-2 x-6 y+\alpha=0$$ in line $$y=x+1$$ be $$c_{2}: 5 x^{2}+5 y^{2}+1

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

A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height h. Find the ratio of the tim

If $$\mathrm{t}=\sqrt{x}+4$$, then $$\left(\frac{\mathrm{d} x}{\mathrm{~d} t}\right)_{\mathrm{t}=4}$$ is :

A smooth circular groove has a smooth vertical wall as shown in figure. A block of mass m moves against the wall with a

A ball is projected with kinetic energy E, at an angle of $$60^{\circ}$$ to the horizontal. The kinetic energy of this b

Two bodies of mass $$1 \mathrm{~kg}$$ and $$3 \mathrm{~kg}$$ have position vectors $$\hat{i}+2 \hat{j}+\hat{k}$$ and $$-

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

If the length of a wire is made double and radius is halved of its respective values. Then, the Young's modulus of the m

The time period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle, which moves withou

A spherically symmetric charge distribution is considered with charge density varying as $$\rho(r)= \begin{cases}\rho_{0

Given below are two statements. Statement I : Electric potential is constant within and at the surface of each conductor

Two metallic wires of identical dimensions are connected in series. If $$\sigma_{1}$$ and $$\sigma_{2}$$ are the conduct

An alternating emf $$\mathrm{E}=440 \sin 100 \pi \mathrm{t}$$ is applied to a circuit containing an inductance of $$\fra

A coil of inductance 1 H and resistance $$100 \,\Omega$$ is connected to a battery of 6 V. Determine approximately : (a)

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The kinetic energy of emitted electron is E when the light incident on the metal has wavelength $$\lambda$$. To double t

Find the ratio of energies of photons produced due to transition of an electron of hydrogen atom from its (i) second per

A travelling microscope has 20 divisions per $$\mathrm{cm}$$ on the main scale while its vernier scale has total 50 divi

In an experiment to find out the diameter of wire using screw gauge, the following observations were noted : (A) Screw

An object is projected in the air with initial velocity u at an angle $$\theta$$. The projectile motion is such that the

If the acceleration due to gravity experienced by a point mass at a height h above the surface of earth is same as that

The pressure $$\mathrm{P}_{1}$$ and density $$\mathrm{d}_{1}$$ of diatomic gas $$\left(\gamma=\frac{7}{5}\right)$$ chang

One mole of a monoatomic gas is mixed with three moles of a diatomic gas. The molecular specific heat of mixture at cons

The current I flowing through the given circuit will be __________A.

A closely wounded circular coil of radius 5 cm produces a magnetic field of $$37.68 \times 10^{-4} \mathrm{~T}$$ at its

Two light beams of intensities 4I and 9I interfere on a screen. The phase difference between these beams on the screen a

A wire of length $$314 \mathrm{~cm}$$ carrying current of $$14 \mathrm{~A}$$ is bent to form a circle. The magnetic mome

The X-Y plane be taken as the boundary between two transparent media $$\mathrm{M}_{1}$$ and $$\mathrm{M}_{2}$$. $$\mathr

If the potential barrier across a p-n junction is $$0.6 \mathrm{~V}$$. Then the electric field intensity, in the depleti