Identify the compound with highest acidic strength from following.

Which of the following species is NOT isoelectronic with neon?

Conductivity of a solution is $$1.26 \times 10^{-2} \Omega^{-1} \mathrm{~cm}^{-1}$$ Calculate molar conductivity for $$0

Identify the molecule from following that does NOT involve $$\mathrm{sp}^3$$ hybridisation.

Which among the following compounds is hemiacetal?

Calculate the concentration of $$\mathrm{H}^{+}$$ ions in a solution if pOH is 11.

Identify the name of compound from following.

Identify the physical quantity that is measured in Candela.

Calculate the edge length of unit cell of metal which crystallises to bcc structure. (Radius of metal atom $$=173 \mathr

What is new temperature of a gas when its initial volume $$3 \mathrm{~dm}^3$$ at $$300 \mathrm{~K}$$ is doubled at const

Which among the following phenols does NOT correctly match with their IUPAC names?

Which among following statements is NOT true according to principles of green chemistry?

What is the value of effective atomic number of cobalt in $$\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{3+}$$

For the reaction, $$3 \mathrm{~I}+\mathrm{S}_2 \mathrm{O}_8^{2-} \rightarrow \mathrm{I}_3^{-}+2 \mathrm{SO}_4^{2-}$$, at

What is the total number of Bravais lattices present for different crystal systems?

Identify compound $$\mathrm{Y}$$ in the following reaction. $$\mathrm{C}_2 \mathrm{H}_5 \mathrm{Cl}+\mathrm{Y} \stackrel

Aniline is treated with $$\mathrm{NaNO}_2+\mathrm{HCl}$$ at low temperature to form:

Which of the following is NOT a difficulty in setting SHE?

Lewis acid is a substance that :

Which among the following $$\alpha$$-amino acids does NOT have chiral carbon atom?

The difference between $$\Delta \mathrm{H}$$ and $$\Delta \mathrm{U}$$ is usually significant for systems consisting of

Which of the following elements is doped with to obtain fibre amplifiers for optical fibre communication system?

What is the half life of a first order reaction if rate constant is $$4.2 \times 10^{-2}$$ per day?

What type of solution is the ethyl alcohol in water?

Which among the following colours is obtained in Schiff test of aldehydes?

Which from following monomers is used to prepare thermocol?

Which of the following is character of lyophilic colloid?

Find the depression in freezing point of solution when 3.2 gram non volatile solute with molar mass $$128 \mathrm{~gram}

What is the value of $$x$$ in order to balance following redox reaction? $$\mathrm{Mn}_{(\mathrm{aq})}^{2+}+x \mathrm{Cl

The reaction, $$3 \mathrm{ClO}^{-} \rightarrow \mathrm{ClO}_3^{-}+2 \mathrm{Cl}^{-}$$ occurs in two steps: i. $$\quad 2

Acetic acid dissociated to $$1.20 \%$$ in its $$0.01 \mathrm{~M}$$ solution. What is the value of its dissociation const

The structure of functional group of secondary amide is :

Which of the following solutions exhibits lowest value of boiling point elevation assuming complete dissociation?

Identify heteroleptic complex from following.

Which among the following statements of group-1 elements is NOT true?

Identify glycosidic linkage present in lactose.

Which of the following compounds reacts with $$\mathrm{HBr}$$ to form 1-Bromo-1-methylcyclohexane?

Identify degenerate orbitals from following for hydrogen atom.

Identify the product P obtained in following reaction. Benzene + ozone (excess) $$\stackrel{\mathrm{CCl}_4}{\longrightar

Identify strongest oxoacid of halogen from following.

Identify the reagent $$\mathrm{R}$$ used in the reaction stated below. Benzene diazonium chloride $$+\mathrm{R} \rightar

Identify lanthanoid element from following.

What is change in internal energy when system releases $$8 \mathrm{~kJ}$$ of heat and performs $$660 \mathrm{~J}$$ of wo

Identify the method used to obtain $$\mathrm{SO}_2$$ gas in industry.

Which among the following compounds reacts fastly with $$\mathrm{HBr}$$ ?

Identify biodegradable polymer from following.

What mass of $$\mathrm{Mg}$$ is produced during electrolysis of molten $$\mathrm{MgCl}_2$$ by passing $$2 \mathrm{~amp}$

Calculate the final volume when 2 moles of an ideal gas expand from $$3 \mathrm{~dm}^3$$ at constant external pressure 1

Calculate the molar mass of an element with density $$2.7 \mathrm{~g} \mathrm{~cm}^{-3}$$ that forms fcc structure. $$\l

Identify ketone from the following.

A group consists of 8 boys and 5 girls, then the number of committees of 5 persons that can be formed, if committee cons

Scalar projection of the line segment joining the points $$\mathrm{A}(-2,0,3), \mathrm{B}(1,4,2)$$ on the line whose dir

For a binomial variate $$\mathrm{X}$$ with $$\mathrm{n}=6$$ if $$P(X=4)=\frac{135}{2^{12}}$$, then its variance is

If $$\overline{\mathrm{a}}=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+2 \hat{\mathrm{k}}, \overline{\mathrm{b}}=2 \hat{\mathr

The number of integral values of $$\mathrm{p}$$ in the domain $$[-5,5]$$, such that the equation $$2 x^2+4 x y-p y^2+4 x

An open metallic tank is to be constructed, with a square base and vertical sides, having volume 500 cubic meter. Then t

The p.d.f. of a discrete random variable is defined as $$\mathrm{f}(x)=\left\{\begin{array}{l} \mathrm{k} x^2, 0 \leq x

The variance, for first six prime numbers greater than 5, is

The value of $$\lim _\limits{x \rightarrow a} \frac{\sqrt{a+2 x}-\sqrt{3 x}}{\sqrt{3 a+x}-2 \sqrt{x}}$$ is

The points $$(1,3),(5,1)$$ are opposite vertices of a diagonal of a rectangle. If the other two vertices lie on the line

Considering only the principal values of an inverse function, the set $$\mathrm{A}=\left\{x \geq 0 / \tan ^{-1} x+\tan ^

The line $$\frac{x-2}{3}=\frac{y-1}{-5}=\frac{z+2}{2}$$ lies in the plane $$x+3 y-\alpha z+\beta=0$$, then the value of

The vector projection of $$\overline{\mathrm{AB}}$$ on $$\overline{\mathrm{CD}}$$, where $$A \equiv(2,-3,0), B \equiv(1,

If the circles $$x^2+y^2=9$$ and $$x^2+y^2+2 \alpha x+2 y+1=0$$ touch each other internally, then the value of $$\alpha^

If $$y=\cos ^{-1}\left(\frac{\mathrm{a}^2}{\sqrt{x^4+\mathrm{a}^4}}\right)$$, then $$\frac{\mathrm{d} y}{\mathrm{~d} x}$

The population $$\mathrm{P}=\mathrm{P}(\mathrm{t})$$ at time $$\mathrm{t}$$ of certain species follows the differential

The vertices of the feasible region for the constraints $$x+y \leq 4, x \leq 2, y \leq 1, x+y \geq 1, x, y \geq 0$$ are

The value of $$\tan \frac{\pi}{8}$$ is

If $$B=\left[\begin{array}{lll}1 & \alpha & 2 \\ 1 & 2 & 2 \\ 2 & 3 & 3\end{array}\right]$$ is the adjoint of a $$3 \tim

The logical statement $$[\sim(\sim p \vee q) \vee(p \wedge r)] \wedge(\sim q \wedge r)$$ is equivalent to

If $$w=\frac{z}{z-\frac{1}{3} i}$$ and $$|w|=1, i=\sqrt{-1}$$, then $$z$$ lies on

If one side of a triangle is double the other and the angles opposite to these sides differ by $$60^{\circ}$$, then the

If $$\int \sqrt{\frac{x-7}{x-9}} d x=A \sqrt{x^2-16 x+63}+\log \left|(x-8)+\sqrt{x^2-16 x+63}\right|+c,$$ (where $$\math

A player tosses 2 fair coins. He wins ₹5 if 2 heads appear, ₹ 2 if one head appears and ₹ 1 if no head appears. Then the

Area of the region bounded by the curve $$y=\sqrt{49-x^2}$$ and $$\mathrm{X}$$-axis is

The solution of the equation $$\tan ^{-1}(1+x)+\tan ^{-1}(1-x)=\frac{\pi}{2}$$ is

The differential equation $$\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{\sqrt{1-y^2}}{y}$$ determines a family of circles w

A square plate is contracting at the uniform rate $$4 \mathrm{~cm}^2 / \mathrm{sec}$$, then the rate at which the perime

If the function $$\mathrm{f}(x)$$ is continuous in $$0 \leq x \leq \pi$$, then the value of $$2 a+3 b$$ is where $$f(x)=

For $$x>1$$, if $$(2 x)^{2 y}=4 \mathrm{e}^{2 x-2 y}$$, then $$(1+\log 2 x)^2 \frac{\mathrm{d} y}{\mathrm{~d} x}$$ is eq

The vectors are $$\bar{a}=2 \hat{i}+\hat{j}-2 \hat{k}, \bar{b}=\hat{i}+\hat{j}$$. If $$\bar{c}$$ is a vector such that $

$$\int \frac{1}{7-6 x-x^2} d x=$$

$$\int \frac{d x}{\sin x+\cos x}=$$

A ladder of length $$17 \mathrm{~m}$$ rests with one end against a vertical wall and the other on the level ground. If t

Let $$\mathrm{P}$$ be a plane passing through the points $$(2,1,0),(4,1,1)$$ and $$(5,0,1)$$ and $$R$$ be the point $$(2

The co-ordinates of the point, where the line through $$A(3,4,1)$$ and $$B(5,1,6)$$ crosses the $$\mathrm{XZ}$$-plane, a

The number of possible solutions of $$\sin \theta+\sin 4 \theta+\sin 7 \theta=0, \theta \in(0, \pi)$$ are

If $$\mathrm{I}=\int \frac{\mathrm{d} x}{x^2\left(x^4+1\right)^{\frac{3}{4}}}$$, then $$\mathrm{I}$$ is

If $$\bar{a}=\hat{i}+2 \hat{j}+\hat{k}, \bar{b}=\hat{i}-\hat{j}+\hat{k}, \bar{c}=\hat{i}+\hat{j}-\hat{k}$$, then a vecto

The number of solutions of $$\tan x+\sec x=2 \cos x$$ in $$[0,2 \pi]$$ are

If $$\int_\limits0^{\frac{1}{2}} \frac{x^2}{\left(1-x^2\right)^{\frac{3}{2}}} \mathrm{~d} x=\frac{\mathrm{k}}{6}$$, then

General solution of the differential equation $$\cos x(1+\cos y) \mathrm{d} x-\sin y(1+\sin x) \mathrm{d} y=0$$ is

If the line $$a x+b y+c=0$$ is a normal to the curve $$x y=1$$, then

Let $$\bar{a}, \bar{b}, \bar{c}$$ be three non-zero vectors, such that no two of them are collinear and $$(\bar{a} \time

If $$\mathrm{f}(x)=\mathrm{e}^x, \mathrm{~g}(x)=\sin ^{-1} x$$ and $$\mathrm{h}(x)=\mathrm{f}(\mathrm{g}(x))$$, then $$\

The given circuit is equivalent to

A kite is $$120 \mathrm{~m}$$ high and $$130 \mathrm{~m}$$ of string is out. If the kite is moving away horizontally at

$$\mathrm{ABC}$$ is a triangle in a plane with vertices $$\mathrm{A}(2,3,5), \mathrm{B}(-1,3,2)$$ and $$\mathrm{C}(\lamb

Three critics review a book. For the three critics the odds in favor of the book are $$2: 5, 3: 4$$ and $$4: 3$$ respect

$$\mathrm{f}: \mathrm{R} \rightarrow \mathrm{R} ; \mathrm{g}: \mathrm{R} \rightarrow \mathrm{R}$$ are two functions such

An open organ pipe having fundamental frequency (n) is in unison with a vibrating string. If the tube is dipped in water

A graph of magnetic flux $$(\phi)$$ versus current (I) is plotted for four inductors A, B, C, D. Larger value of self in

An electron accelerated through a potential difference '$$V_1$$' has a de-Broglie wavelength '$$\lambda$$'. When the pot

In case of a stationary wave pattern which of the following statement is CORRECT?

If 'I' is moment of inertia of a thin circular disc about an axis passing through the tangent of the disc and in the pla

A parallel plate capacitor has plate area '$$\mathrm{A}$$' and separation between plates is '$$d$$'. It is charged to a

The shortest wavelength in the Balmer series of hydrogen atom is equal to the shortest wavelength in the Brackett series

If the length of stretched string is reduced by $$40 \%$$ and tension is increased by $$44 \%$$ then the ratio of final

A square loop of area $$25 \mathrm{~cm}^2$$ has a resistance of $$10 \Omega$$. This loop is placed in a uniform magnetic

Two capacitors $$\mathrm{C}_1=3 \mu \mathrm{F}$$ and $$\mathrm{C}_2=2 \mu \mathrm{F}$$ are connected in series across d.

To obtain the truth-table shown, from the following logic circuit, the gate G should be

An electric dipole consisting of two opposite charges of $$2 \times 10^{-6} \mathrm{C}$$ separated by a distance of $$3

In insulators

Seven identical discs each of mass $$M$$ and radius $$\mathrm{R}$$ are arranged in a hexagonal plane pattern so as to to

A satellite moves in a stable circular orbit round the earth if (where $$\mathrm{V}_{\mathrm{H}}, \mathrm{V}_{\mathrm{c}

The mean electrical energy density between plates of a charged air capacitor is (where $$\mathrm{q}=$$ charge on capacit

A person is observing a bacteria through a compound microscope. For better observation and to improve its resolving powe

The inductive reactance of a coil is '$$\mathrm{X}_{\mathrm{L}}$$'. If the inductance of a coil is tripled and frequency

In the circuit shown the ratio of quality factor and the bandwidth is

Water flows through a horizontal pipe at a speed '$$\mathrm{V}$$'. Internal diameter of the pipe is '$$\mathrm{d}$$'. If

In Young's double slit experiment the separation between the slits is doubled without changing other setting of the expe

A body is released from the top of a tower '$$\mathrm{H}$$' metre high. It takes $$t$$ second to reach the ground. The h

There is a second's pendulum on the surface of earth. It is taken to the surface of planet whose mass and radius are twi

Two long parallel wires carrying currents $$8 \mathrm{~A}$$ and $$15 \mathrm{~A}$$ in opposite directions are placed at

A body of mass 200 gram is tied to a spring of spring constant $$12.5 \mathrm{~N} / \mathrm{m}$$, while other end of spr

Which of the following is NOT involved in the formation of secondary rainbow?

For a satellite orbiting around the earth in a circular orbit, the ratio of potential energy to kinetic energy at same h

Maximum kinetic energy of photon is '$$E$$' when wavelength of incident radiation is '$$\lambda$$'. If wavelength of inc

Consider the Doppler effect in two cases. In the first case, an observer moves towards a stationary source of sound with

According to Curie's law in magnetism, the correct relation is ( $$\mathrm{M}=$$ magnetization in paramagnetic sample, $

A double convex air bubble in water behaves as

Three liquids have same surface tension and densities $$\rho_1, \rho_2$$, and $$\rho_3\left(\rho_1>\rho_2>\rho_3\right)$

If a lighter body of mass '$$\mathrm{M}_1$$' and velocity '$$\mathrm{V}_1$$' and a heavy body (mass $$M_2$$ and velocity

Electron of mass '$$\mathrm{m}$$' and charge '$$\mathrm{q}$$' is travelling with speed '$$v$$' along a circular path of

In a series LR circuit, $$X_L=R$$, power factor is $$P_1$$. If a capacitor of capacitance $$C$$ with $$X_C=X_L$$ is adde

If only $$1 \%$$ of total current is passed through a galvanometer of resistance '$$G$$' then the resistance of the shun

A voltmeter of resistance $$150 \Omega$$ connected across a cell of e.m.f. $$3 \mathrm{~V}$$ reads $$2.5 \mathrm{~V}$$.

Two conducting circular loops of radii '$$R_1$$' and '$$R_2$$' are placed in the same plane with their centres coincidin

The average force applied on the walls of a closed container depends on $$T^x$$ where $$T$$ is the temperature of an ide

A black body radiates maximum energy at wavelength '$$\lambda$$' and its emissive power is $$\mathrm{E}$$. Now due to ch

A Carnot engine with efficiency $$50 \%$$ takes heat from a source at $$600 \mathrm{~K}$$. To increase the efficiency to

The amplitude of a particle executing S.H.M. is $$3 \mathrm{~cm}$$. The displacement at which its kinetic energy will be

A piece of metal at $$850 \mathrm{~K}$$ is dropped in to $$1 \mathrm{~kg}$$ water at $$300 \mathrm{~K}$$. If the equilib

Heat energy is incident on the surface at the rate of X J/min . If '$$a$$' and '$$r$$' represent coefficient of absorpti

Identify the mismatch out of the following.

Two sources of light $$0.6 \mathrm{~mm}$$ apart and screen is placed at a distance of $$1.2 \mathrm{~m}$$ from them. A l

The ratio of longest to shortest wavelength emitted in Paschen series of hydrogen atom is

The height of liquid column raised in a capillary tube of certain radius when dipped in liquid '$$A$$' vertically is $$5

A particle of mass '$$\mathrm{m}$$' is rotating along a circular path of radius '$$r$$' having angular momentum '$$L$$'.

A sample of gas at temperature $$T$$ is adiabatically expanded to double its volume. The work done by the gas in the pro