The correct sequence of reagents used in the preparation of 4-bromo-2-nitroethyl benzene from benzene is :

What is 'X' in the given reaction?

The solubility of Ca(OH)2 in water is :[Given : The solubility product of Ca(OH)2 in water = 5.5 $$\times$$ 10$$-$$6]

Which among the following species has unequal bond lengths?

In which of the following order the given complex ions are arranged correctly with respect to their decreasing spin only

The correct order of acid character of the following compounds is :

The major product of the following reaction is :

Correct statement about the given chemical reaction is :

Given below are two statements :Statement I : The identification of Ni2+ is carried out by dimethyl glyoxime in the pres

Carbylamine test is used to detect the presence of primary amino group in an organic compound. Which of the following co

Which of the following is correct structure of $$\alpha$$-anomer of maltose?

Which of the following compound is added to the sodium extract before addition of silver nitrate for testing of halogens

The major product of the following reaction is :

The correct order of bond dissociation enthalpy of halogens is :

Copper reduces NO$$_3^ - $$ into NO and NO2 depending upon the concentration of HNO3 in solution. (Assuming fixed [Cu2+]

The spin only magnetic moment of a divalent ion in aqueous solution (atomic number 29) is _________ BM.

If a compound AB dissociates to the extent of 75% in an aqueous solution, the molality of the solution which shows a 2.5

Electromagnetic radiation of wavelength 663 nm is just sufficient to ionise the atom of metal A. The ionization enegy of

Consider titration of NaOH solution versus 1.25 M oxalic acid solution. At the end point following burette readings were

Five moles of an ideal gas at 293 K is expanded isothermally from an initial pressure of 2.1 MPa to 1.3 MPa against at c

The number of compound/s given below which contain/s -COOH group is __________. (Integer answer)(A) Sulphanilic acid(B)

The rate constant of a reaction increases by five times on increase in temperature from 27$$^\circ$$C to 52$$^\circ$$C.

Among the following, number of metal/s which can be used as electrodes in the photoelectric cell is _________. (Integer

The shortest distance between the line x $$-$$ y = 1 and the curve x2 = 2y is :

A function f(x) is given by $$f(x) = {{{5^x}} \over {{5^x} + 5}}$$, then the sum of the series $$f\left( {{1 \over {20}}

Let x denote the total number of one-one functions from a set A with 3 elements to a set B with 5 elements and y denote

The integral $$\int {{{{e^{3{{\log }_e}2x}} + 5{e^{2{{\log }_e}2x}}} \over {{e^{4{{\log }_e}x}} + 5{e^{3{{\log }_e}x}} -

Let A be a set of all 4-digit natural numbers whose exactly one digit is 7. Then the probability that a randomly chosen

Let $$\alpha$$ and $$\beta$$ be the roots of x2 $$-$$ 6x $$-$$ 2 = 0. If an = $$\alpha$$n $$-$$ $$\beta$$n for n $$ \ge

If 0 < x, y < $$\pi$$ and cosx + cosy $$-$$ cos(x + y) = $${3 \over 2}$$, then sinx + cosy is equal to :

cosec$$\left[ {2{{\cot }^{ - 1}}(5) + {{\cos }^{ - 1}}\left( {{4 \over 5}} \right)} \right]$$ is equal to :

Let A be a 3 $$\times$$ 3 matrix with det(A) = 4. Let Ri denote the ith row of A. If a matrix B is obtained by performin

If $$\alpha$$, $$\beta$$ $$\in$$ R are such that 1 $$-$$ 2i (here i2 = $$-$$1) is a root of z2 + $$\alpha$$z + $$\beta$$

The minimum value of $$f(x) = {a^{{a^x}}} + {a^{1 - {a^x}}}$$, where a, $$x \in R$$ and a > 0, is equal to :

If $${I_n} = \int\limits_{{\pi \over 4}}^{{\pi \over 2}} {{{\cot }^n}x\,dx} $$, then :

In a group of 400 people, 160 are smokers and non-vegetarian; 100 are smokers and vegetarian and the remaining 140 are n

If for the matrix, $$A = \left[ {\matrix{ 1 & { - \alpha } \cr \alpha & \beta \cr } } \right]$$, $

If the curve x2 + 2y2 = 2 intersects the line x + y = 1 at two points P and Q, then the angle subtended by the line segm

The following system of linear equations2x + 3y + 2z = 93x + 2y + 2z = 9x $$-$$ y + 4z = 8

A hyperbola passes through the foci of the ellipse $${{{x^2}} \over {25}} + {{{y^2}} \over {16}} = 1$$ and its transvers

If the remainder when x is divided by 4 is 3, then the remainder when (2020 + x)2022 is divided by 8 is __________.

The total number of two digit numbers 'n', such that 3n + 7n is a multiple of 10, is __________.

The value of $$\int\limits_{ - 2}^2 {|3{x^2} - 3x - 6|dx} $$ is ___________.

A line 'l' passing through origin is perpendicular to the lines$${l_1}:\overrightarrow r = (3 + t)\widehat i + ( - 1 +

A function f is defined on [$$-$$3, 3] as$$f(x) = \left\{ {\matrix{ {\min \{ |x|,2 - {x^2}\} ,} & { - 2 \le x \le

Let $$\overrightarrow a = \widehat i + \alpha \widehat j + 3\widehat k$$ and $$\overrightarrow b = 3\widehat i - \alph

If $$\mathop {\lim }\limits_{x \to 0} {{ax - ({e^{4x}} - 1)} \over {ax({e^{4x}} - 1)}}$$ exists and is equal to b, then

If the curve, y = y(x) represented by the solution of the differential equation (2xy2 $$-$$ y)dx + xdy = 0, passes throu

An LCR circuit contains resistance of 110$$\Omega$$ and a supply of 220 V at 300 rad/s angular frequency. If only capaci

An electron with kinetic energy K1 enters between parallel plates of a capacitor at an angle '$$\alpha$$' with the plate

A sphere of radius 'a' and mass 'm' rolls along a horizontal plane with constant speed v0. It encounters an inclined pla

An electron of mass me and a proton of mass mp = 1836 me are moving with the same speed. The ratio of their de Broglie w

Consider the diffraction pattern obtained from the sunlight incident on a pinhole of diameter 0.1 $$\mu$$m. If the diame

In a ferromagnetic material, below the curie temperature, a domain is defined as :

Given below are two statements :Statement I : In a diatomic molecule, the rotational energy at a given temperature obeys

Match List I with List II. List I List II (a) Rectifier (i) Used either fo

A charge 'q' is placed at one corner of a cube as shown in figure. The flux of electrostatic field $$\overrightarrow E $

Thermodynamic process is shown below on a P-V diagram for one mole of an ideal gas. If V2 = 2V1 then the ratio of temper

The wavelength of the photon emitted by a hydrogen atom when an electron makes a transition from n = 2 to n = 1 state is

Y = A sin($$\omega$$t + $$\phi$$0) is the time-displacement equation of a SHM. At t = 0 the displacement of the particle

Two identical springs of spring constant '2k' are attached to a block of mass m and to fixed support (see figure). When

The point A moves with a uniform speed along the circumference of a circle of radius 0.36 m and covers 30$$^\circ$$ in 0

If e is the electronic charge, c is the speed of light in free space and h is Planck's constant, the quantity $${1 \over

For extrinsic semiconductors; when doping level is increased;

The truth table for the following logic circuit is :

A stone is dropped from the top of a building. When it crosses a point 5 m below the top, another stone starts to fall f

The stopping potential for electrons emitted from a photosensitive surface illuminated by light of wavelength 491 nm is

If $$\overrightarrow P \times \overrightarrow Q = \overrightarrow Q \times \overrightarrow P $$, the angle between $$

The percentage increase in the speed of transverse waves produced in a stretched string if the tension is increased by 4

The initial velocity vi required to project a body vertically upward from the surface of the earth to reach a height of

The peak electric field produced by the radiation coming from the 8W bulb at a distance of 10 m is $${x \over {10}}\sqrt

Two identical conducting spheres with negligible volume have 2.1 nC and $$-$$0.1 nC charges, respectively. They are brou

The wavelength of an X-ray beam is 10$$\mathop A\limits^o $$. The mass of a fictitious particle having the same energy a

Two small spheres each of mass 10 mg are suspended from a point by threads 0.5 m long. They are equally charged and repe

Two particles having masses 4 g and 16 g respectively are moving with equal kinetic energies. The ratio of the magnitude

A current of 6A enters one corner P of an equilateral triangle PQR having 3 wires of resistance 2$$\Omega$$ each and lea