The number of complexes from the following with no electrons in the $$t_2$$ orbital is ______. $$\mathrm{TiCl}_4,\left[\

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The correct nomenclature for the following compound is :

Given below are two statements : Statement I : On passing $$\mathrm{HCl}_{(\mathrm{g})}$$ through a saturated solution o

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While preparing crystals of Mohr's salt, dil $$\mathrm{H}_2 \mathrm{SO}_4$$ is added to a mixture of ferrous sulphate an

Identify the major product in the following reaction.

Identify A and B in the given chemical reaction sequence :

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

Consider the given chemical reaction : Product "A" is :

The correct statements from the following are : (A) The decreasing order of atomic radii of group 13 elements is $$\math

Consider the above reaction sequence and identify the major product P.

Coagulation of egg, on heating is because of :

Which one of the following reactions is NOT possible?

The number of ions from the following that have the ability to liberate hydrogen from a dilute acid is _________. $$\mat

The number of moles of methane required to produce $$11 \mathrm{~g} \mathrm{~CO}_2(\mathrm{g})$$ after complete combusti

The quantity of silver deposited when one coulomb charge is passed through $$\mathrm{AgNO}_3$$ solution :

The metal atom present in the complex MABXL (where A, B, X and L are unidentate ligands and $$\mathrm{M}$$ is metal) inv

For the electro chemical cell $$\mathrm{M}\left|\mathrm{M}^{2+}\right||\mathrm{X}| \mathrm{X}^{2-}$$ If $$\mathrm{E}_{\l

Given below are two statements : Statement I : The metallic radius of $$\mathrm{Na}$$ is $$1.86 \mathrm{~A}^{\circ}$$ an

In an atom, total number of electrons having quantum numbers $$\mathrm{n}=4,\left|\mathrm{~m}_l\right|=1$$ and $$\mathrm

The product C in the following sequence of reactions has ________ $$\pi$$ bonds.

Using the given figure, the ratio of $$\mathrm{R}_f$$ values of sample $$\mathrm{A}$$ and sample $$\mathrm{C}$$ is $$x \

Considering acetic acid dissociates in water, its dissociation constant is $$6.25 \times 10^{-5}$$. If $$5 \mathrm{~mL}$

Consider the following single step reaction in gas phase at constant temperature. $$2 \mathrm{~A}_{(\mathrm{g})}+\mathrm

The fusion of chromite ore with sodium carbonate in the presence of air leads to the formation of products $$\mathrm{A}$

In the Claisen-Schmidt reaction to prepare $$351 \mathrm{~g}$$ of dibenzalacetone using $$87 \mathrm{~g}$$ of acetone, t

Combustion of 1 mole of benzene is expressed at $$\mathrm{C}_6 \mathrm{H}_6(\mathrm{l})+\frac{15}{2} \mathrm{O}_2(\mathr

$$\mathrm{X} \mathrm{~g}$$ of ethanamine was subjected to reaction with $$\mathrm{NaNO}_2 / \mathrm{HCl}$$ followed by h

Number of compounds from the following with zero dipole moment is _________. $$\mathrm{HF}, \mathrm{H}_2, \mathrm{H}_2 \

Let the circle $$C_1: x^2+y^2-2(x+y)+1=0$$ and $$\mathrm{C_2}$$ be a circle having centre at $$(-1,0)$$ and radius 2 . I

Let $$f, g: \mathbf{R} \rightarrow \mathbf{R}$$ be defined as : $$f(x)=|x-1| \text { and } g(x)= \begin{cases}\mathrm{e}

Let ABCD and AEFG be squares of side 4 and 2 units, respectively. The point E is on the line segment AB and the point F

Let $$(\alpha, \beta, \gamma)$$ be the image of the point $$(8,5,7)$$ in the line $$\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-

Let $$S_1=\{z \in \mathbf{C}:|z| \leq 5\}, S_2=\left\{z \in \mathbf{C}: \operatorname{Im}\left(\frac{z+1-\sqrt{3} i}{1-\

If the constant term in the expansion of $$\left(\frac{\sqrt[5]{3}}{x}+\frac{2 x}{\sqrt[3]{5}}\right)^{12}, x \neq 0$$,

Let $$\vec{a}=2 \hat{i}+5 \hat{j}-\hat{k}, \vec{b}=2 \hat{i}-2 \hat{j}+2 \hat{k}$$ and $$\vec{c}$$ be three vectors such

Let $$\mathrm{A}(-1,1)$$ and $$\mathrm{B}(2,3)$$ be two points and $$\mathrm{P}$$ be a variable point above the line $$\

The values of $$m, n$$, for which the system of equations $$\begin{aligned} & x+y+z=4, \\ & 2 x+5 y+5 z=17, \\ & x+2 y+\

If $$y(\theta)=\frac{2 \cos \theta+\cos 2 \theta}{\cos 3 \theta+4 \cos 2 \theta+5 \cos \theta+2}$$, then at $$\theta=\fr

Let $$\beta(\mathrm{m}, \mathrm{n})=\int_\limits0^1 x^{\mathrm{m}-1}(1-x)^{\mathrm{n}-1} \mathrm{~d} x, \mathrm{~m}, \ma

Let ,$$f:[-1,2] \rightarrow \mathbf{R}$$ be given by $$f(x)=2 x^2+x+\left[x^2\right]-[x]$$, where $$[t]$$ denotes the gr

Let the set $$S=\{2,4,8,16, \ldots, 512\}$$ be partitioned into 3 sets $$A, B, C$$ with equal number of elements such th

The coefficients $$\mathrm{a}, \mathrm{b}, \mathrm{c}$$ in the quadratic equation $$\mathrm{a} x^2+\mathrm{bx}+\mathrm{c

Let $$\alpha \beta \neq 0$$ and $$A=\left[\begin{array}{rrr}\beta & \alpha & 3 \\ \alpha & \alpha & \beta \\ -\beta & \a

For $$x \geqslant 0$$, the least value of $$\mathrm{K}$$, for which $$4^{1+x}+4^{1-x}, \frac{\mathrm{K}}{2}, 16^x+16^{-x

The area enclosed between the curves $$y=x|x|$$ and $$y=x-|x|$$ is :

60 words can be made using all the letters of the word $$\mathrm{BHBJO}$$, with or without meaning. If these words are w

Consider three vectors $$\vec{a}, \vec{b}, \vec{c}$$. Let $$|\vec{a}|=2,|\vec{b}|=3$$ and $$\vec{a}=\vec{b} \times \vec{

The differential equation of the family of circles passing through the origin and having centre at the line $$y=x$$ is :

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

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Let the maximum and minimum values of $$\left(\sqrt{8 x-x^2-12}-4\right)^2+(x-7)^2, x \in \mathbf{R}$$ be $$\mathrm{M}$$

Let the point $$(-1, \alpha, \beta)$$ lie on the line of the shortest distance between the lines $$\frac{x+2}{-3}=\frac{

If $$1+\frac{\sqrt{3}-\sqrt{2}}{2 \sqrt{3}}+\frac{5-2 \sqrt{6}}{18}+\frac{9 \sqrt{3}-11 \sqrt{2}}{36 \sqrt{3}}+\frac{49-

Let $$\mathrm{a}>0$$ be a root of the equation $$2 x^2+x-2=0$$. If $$\lim _\limits{x \rightarrow \frac{1}{a}} \frac{16\l

If $$f(t)=\int_\limits0^\pi \frac{2 x \mathrm{~d} x}{1-\cos ^2 \mathrm{t} \sin ^2 x}, 0

The number of real solutions of the equation $$x|x+5|+2|x+7|-2=0$$ is __________.

The number of solutions of $$\sin ^2 x+\left(2+2 x-x^2\right) \sin x-3(x-1)^2=0$$, where $$-\pi \leq x \leq \pi$$, is __

Let a line perpendicular to the line $$2 x-y=10$$ touch the parabola $$y^2=4(x-9)$$ at the point P. The distance of the

A body is moving unidirectionally under the influence of a constant power source. Its displacement in time t is proporti

What is the dimensional formula of $$a b^{-1}$$ in the equation $$\left(\mathrm{P}+\frac{\mathrm{a}}{\mathrm{V}^2}\right

A particle moves in $$x$$-$$y$$ plane under the influence of a force $$\vec{F}$$ such that its linear momentum is $$\ove

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During an adiabatic process, if the pressure of a gas is found to be proportional to the cube of its absolute temperatur

A heavy box of mass $$50 \mathrm{~kg}$$ is moving on a horizontal surface. If co-efficient of kinetic friction between t

A man carrying a monkey on his shoulder does cycling smoothly on a circular track of radius $$9 \mathrm{~m}$$ and comple

A series LCR circuit is subjected to an ac signal of $$200 \mathrm{~V}, 50 \mathrm{~Hz}$$. If the voltage across the ind

Which of the following statement is not true about stopping potential $$(\mathrm{V}_0)$$ ?

Given below are two statements : Statement I : When the white light passed through a prism, the red light bends lesser t

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A satellite revolving around a planet in stationary orbit has time period 6 hours. The mass of planet is one-fourth the

A vernier callipers has 20 divisions on the vernier scale, which coincides with $$1^{\text {th }}$$ division on the main

The ratio of heat dissipated per second through the resistance $$5 \Omega$$ and $$10 \Omega$$ in the circuit given below

The output (Y) of logic circuit given below is 0 only when :

The angular momentum of an electron in a hydrogen atom is proportional to : (Where $$\mathrm{r}$$ is the radius of orbit

The vehicles carrying inflammable fluids usually have metallic chains touching the ground:

A galvanometer of resistance $$100 \Omega$$ when connected in series with $$400 \Omega$$ measures a voltage of upto $$10

The electrostatic force $$\left(\vec{F_1}\right)$$ and magnetic force $$\left(\vec{F}_2\right)$$ acting on a charge $$q$

If $$\mathrm{n}$$ is the number density and $$\mathrm{d}$$ is the diameter of the molecule, then the average distance co

The electric field at point $$\mathrm{p}$$ due to an electric dipole is $$\mathrm{E}$$. The electric field at point $$\m

A sonometer wire of resonating length $$90 \mathrm{~cm}$$ has a fundamental frequency of $$400 \mathrm{~Hz}$$ when kept

In a single slit experiment, a parallel beam of green light of wavelength $$550 \mathrm{~nm}$$ passes through a slit of

A hollow sphere is rolling on a plane surface about its axis of symmetry. The ratio of rotational kinetic energy to its

A wire of resistance $$20 \Omega$$ is divided into 10 equal parts, resulting pairs. A combination of two parts are conne

The maximum height reached by a projectile is $$64 \mathrm{~m}$$. If the initial velocity is halved, the new maximum hei

The shortest wavelength of the spectral lines in the Lyman series of hydrogen spectrum is $$915\mathop A\limits^o$$. The

The current in an inductor is given by $$\mathrm{I}=(3 \mathrm{t}+8)$$ where $$\mathrm{t}$$ is in second. The magnitude

A hydraulic press containing water has two arms with diameters as mentioned in the figure. A force of $$10 \mathrm{~N}$

A solenoid of length $$0.5 \mathrm{~m}$$ has a radius of $$1 \mathrm{~cm}$$ and is made up of '$$\mathrm{m}$$' number of