Element "E" belongs to the period 4 and group 16 of the periodic table. The valence shell electron configuration of the

Nitrogen gas is obtained by thermal decomposition of :

Which one of the lanthanoids given below is the most stable in divalent form?

Given below are two statements : Statement I : [Ni(CN)4]2$$-$$ is square planar and diamagnetic complex, with dsp2 hybri

Which one of the following techniques is not used to spot components of a mixture separated on thin layer chromatographi

Which of the following structure are aromatic in nature?

The major product (P) in the reaction is

The correct structure of product 'A' formed in the following reaction. is

Which one of the following compounds is inactive towards SN1 reaction?

Identify the major product formed in the following sequence of reactions:

A primary aliphatic amine on reaction with nitrous acid in cold (273 K) and there after raising temperature of reaction

Stability of $$\alpha$$-Helix structure of proteins depends upon

The formula of the purple colour formed in Laissaigne's test for sulphur using sodium nitroprusside is :

A 2.0 g sample containing MnO2 is treated with HCl liberating Cl2. The Cl2 gas is passed into a solution of KI and 60.0

If the work function of a metal is 6.63 $$\times$$ 10$$-$$19J, the maximum wavelength of the photon required to remove a

The hybridization of P exhibited in PF5 is spxdy. The value of y is __________.

4.0 L of an ideal gas is allowed to expand isothermally into vacuum until the total volume is 2.0 L. The amount of heat

The vapour pressures of two volatile liquids A and B at 25$$^\circ$$C are 50 Torr and 100 Torr, respectively. If the liq

The solubility product of a sparingly soluble salt A2X3 is 1.1 $$\times$$ 10$$-$$23. If specific conductance of the solu

The quantity of electricity in Faraday needed to reduce 1 mol of Cr2O$$_7^{2 - }$$ to Cr3+ is ____________.

For a first order reaction A $$\to$$ B, the rate constant, k = 5.5 $$\times$$ 10$$-$$14 s$$-$$1. The time required for 6

Number of complexes which will exhibit synergic bonding amongst, $$[Cr{(CO)_6}]$$, $$[Mn{(CO)_5}]$$ and $$[M{n_2}{(CO)_{

In the estimation of bromine, 0.5 g of an organic compound gave 0.40 g of silver bromide. The percentage of bromine in t

Let a function f : N $$\to$$ N be defined by $$f(n) = \left[ {\matrix{ {2n,} & {n = 2,4,6,8,......} \cr {n - 1,}

If the system of linear equations $$2x + 3y - z = - 2$$ $$x + y + z = 4$$ $$x - y + |\lambda |z = 4\lambda - 4$$ where

The total number of 5-digit numbers, formed by using the digits 1, 2, 3, 5, 6, 7 without repetition, which are multiple

Let A1, A2, A3, ....... be an increasing geometric progression of positive real numbers. If A1A3A5A7 = $${1 \over {1296}

Let [t] denote the greatest integer less than or equal to t. Then, the value of the integral $$\int\limits_0^1 {[ - 8{x^

Let f : R $$\to$$ R be defined as $$f(x) = \left[ {\matrix{ {[{e^x}],} & {x where a, b, c $$\in$$ R and [t] denotes

The area of the region S = {(x, y) : y2 $$\le$$ 8x, y $$\ge$$ $$\sqrt2$$x, x $$\ge$$ 1} is

Let the solution curve $$y = y(x)$$ of the differential equation $$\left[ {{x \over {\sqrt {{x^2} - {y^2}} }} + {e^{{y \

Let y = y(x) be the solution of the differential equation $$x(1 - {x^2}){{dy} \over {dx}} + (3{x^2}y - y - 4{x^3}) = 0$$

The number of real solutions of $${x^7} + 5{x^3} + 3x + 1 = 0$$ is equal to ____________.

The probability, that in a randomly selected 3-digit number at least two digits are odd, is :

Let R1 and R2 be relations on the set {1, 2, ......., 50} such that R1 = {(p, pn) : p is a prime and n $$\ge$$ 0 is an i

The number of real solutions of the equation $${e^{4x}} + 4{e^{3x}} - 58{e^{2x}} + 4{e^x} + 1 = 0$$ is ___________.

The mean and standard deviation of 15 observations are found to be 8 and 3 respectively. On rechecking it was found that

If $$\overrightarrow a = 2\widehat i + \widehat j + 3\widehat k$$, $$\overrightarrow b = 3\widehat i + 3\widehat j + \

A ray of light passing through the point P(2, 3) reflects on the x-axis at point A and the reflected ray passes through

Let A = {1, a1, a2 ....... a18, 77} be a set of integers with 1 1 2 18 Let the set A + A = {x + y : x, y $$\in$$ A} cont

The number of positive integers k such that the constant term in the binomial expansion of $${\left( {2{x^3} + {3 \over

The number of elements in the set {z = a + ib $$\in$$ C : a, b $$\in$$ Z and 1

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

A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration (a) is var

Motion of a particle in x-y plane is described by a set of following equations $$x = 4\sin \left( {{\pi \over 2} - \ome

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

Two planets A and B of equal mass are having their period of revolutions TA and TB such that TA = 2TB. These planets are

A water drop of diameter 2 cm is broken into 64 equal droplets. The surface tension of water is 0.075 N/m. In this proce

Given below are two statements : Statement I : When $$\mu$$ amount of an ideal gas undergoes adiabatic change from state

Given below are two statements : Statement I : A point charge is brought in an electric field. The value of electric fie

The three charges q/2, q and q/2 are placed at the corners A, B and C of a square of side 'a' as shown in figure. The ma

An infinitely long hollow conducting cylinder with radius R carries a uniform current along its surface. Choose the corr

A radar sends an electromagnetic signal of electric field (E0) = 2.25 V/m and magnetic field (B0) = 1.5 $$\times$$ 10$$-

The refracting angle of a prism is A and refractive index of the material of the prism is cot (A/2). Then the angle of m

The aperture of the objective is 24.4 cm. The resolving power of this telescope, if a light of wavelength 2440 $$\mathop

The de Broglie wavelengths for an electron and a photon are $$\lambda$$e and $$\lambda$$p respectively. For the same kin

The Q-value of a nuclear reaction and kinetic energy of the projectile particle, Kp are related as :

For using a multimeter to identify diode from electrical components, choose the correct statement out of the following a

The velocity of sound in a gas, in which two wavelengths 4.08 m and 4.16 m produce 40 beats in 12s, will be :

A pendulum is suspended by a string of length 250 cm. The mass of the bob of the pendulum is 200 g. The bob is pulled as

A meter bridge setup is shown in the figure. It is used to determine an unknown resistance R using a given resistor of 1

Current measured by the ammeter (A) in the reported circuit when no current flows through 10 $$\Omega$$ resistance, will

An AC source is connected to an inductance of 100 mH, a capacitance of 100 $$\mu$$F and a resistance of 120 $$\Omega$$ a

The position vector of 1 kg object is $$\overrightarrow r = \left( {3\widehat i - \widehat j} \right)m$$ and its veloci

A man of 60 kg is running on the road and suddenly jumps into a stationary trolly car of mass 120 kg. Then, the trolly c

A hanging mass M is connected to a four times bigger mass by using a string-pulley arrangement, as shown in the figure.

The total internal energy of two mole monoatomic ideal gas at temperature T = 300 K will be _____________ J. (Given R =

A singly ionized magnesium atom (A = 24) ion is accelerated to kinetic energy 5 keV, and is projected perpendicularly in

A telegraph line of length 100 km has a capacity of 0.01 $$\mu$$F/km and it carries an alternating current at 0.5 kilo c