Production of iron in blast furnace follows the following equation Fe3O4(s) + 4CO(g) $$\to$$ 3Fe(l) + 4CO2(g) when 4.640

Which of the following statements are correct? (A) The electronic configuration of Cr is [Ar] 3d5 4s1. (B) The magnetic

The solubility of AgCl will be maximum in which of the following?

The electronic configuration of Pt (atomic number 78) is :

Two isomers 'A' and 'B' with molecular formula C4H8 give different products on oxidation with KMnO4 in acidic medium. Is

In the given conversion the compound A is :

Given below are two statements : Statement I : The esterification of carboxylic acid with an alcohol is a nucleophilic a

Consider the above reactions, the product A and product B respectively are

Sugar moiety in DNA and RNA molecules respectively are

Given below are two statements : Statement I : Phenols are weakly acidic. Statement II : Therefore they are freely solub

17.0 g of NH3 completely vapourises at $$-$$33.42$$^\circ$$C and 1 bar pressure and the enthalpy change in the process i

1.2 mL of acetic acid is dissolved in water to make 2.0 L of solution. The depression in freezing point observed for thi

A dilute solution of sulphuric acid is electrolysed using a current of 0.10 A for 2 hours to produce hydrogen and oxygen

The activation energy of one of the reactions in a biochemical process is 532611 J mol$$-$$1. When the temperature falls

The number of terminal oxygen atoms present in the product B obtained from the following reaction is _____________. FeCr

An acidified manganate solution undergoes disproportionation reaction. The spin-only magnetic moment value of the produc

Kjeldahl's method was used for the estimation of nitrogen in an organic compound. The ammonia evolved from 0.55 g of the

Observe structures of the following compounds The total number of structures/compounds which possess asymmetric carbon

C6H12O6 $$\buildrel \text{Zymase} \over \longrightarrow $$ A $$\mathrel{\mathop{\kern0pt\longrightarrow} \limits_\Delta

The probability that a randomly chosen 2 $$\times$$ 2 matrix with all the entries from the set of first 10 primes, is si

Let the solution curve of the differential equation $$x{{dy} \over {dx}} - y = \sqrt {{y^2} + 16{x^2}} $$, $$y(1) = 3$$

Let $$f:R \to R$$ be a function defined by : $$f(x) = \left\{ {\matrix{ {\max \,\{ {t^3} - 3t\} \,t \le x} & ; & {x \

Let $$\overrightarrow a = \alpha \widehat i + 3\widehat j - \widehat k$$, $$\overrightarrow b = 3\widehat i - \beta \w

The area enclosed by y2 = 8x and y = $$\sqrt2$$ x that lies outside the triangle formed by y = $$\sqrt2$$ x, x = 1, y =

If the system of linear equations 2x + y $$-$$ z = 7 x $$-$$ 3y + 2z = 1 x + 4y + $$\delta$$z = k, where $$\delta$$, k $

Let $$\alpha$$ and $$\beta$$ be the roots of the equation x2 + (2i $$-$$ 1) = 0. Then, the value of |$$\alpha$$8 + $$\be

Let $$A = [{a_{ij}}]$$ be a square matrix of order 3 such that $${a_{ij}} = {2^{j - i}}$$, for all i, j = 1, 2, 3. Then,

Let a set A = A1 $$\cup$$ A2 $$\cup$$ ..... $$\cup$$ Ak, where Ai $$\cap$$ Aj = $$\phi$$ for i $$\ne$$ j, 1 $$\le$$ j, j

The distance between the two points A and A' which lie on y = 2 such that both the line segments AB and A' B (where B is

A wire of length 22 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into an

The domain of the function $${\cos ^{ - 1}}\left( {{{2{{\sin }^{ - 1}}\left( {{1 \over {4{x^2} - 1}}} \right)} \over \pi

If the constant term in the expansion of $${\left( {3{x^3} - 2{x^2} + {5 \over {{x^5}}}} \right)^{10}}$$ is 2k.l, where

$$\int_0^5 {\cos \left( {\pi \left( {x - \left[ {{x \over 2}} \right]} \right)} \right)dx} $$, where [t] denotes greates

Let PQ be a focal chord of the parabola y2 = 4x such that it subtends an angle of $${\pi \over 2}$$ at the point (3, 0)

Let the mean and the variance of 5 observations x1, x2, x3, x4, x5 be $${24 \over 5}$$ and $${194 \over 25}$$ respective

Let $$S = \{ z \in C:|z - 2| \le 1,\,z(1 + i) + \overline z (1 - i) \le 2\} $$. Let $$|z - 4i|$$ attains minimum and max

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

$$50\tan \left( {3{{\tan }^{ - 1}}\left( {{1 \over 2}} \right) + 2{{\cos }^{ - 1}}\left( {{1 \over {\sqrt 5 }}} \right)}

Let c, k $$\in$$ R. If $$f(x) = (c + 1){x^2} + (1 - {c^2})x + 2k$$ and $$f(x + y) = f(x) + f(y) - xy$$, for all x, y $$\

Let $$H:{{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$, a > 0, b > 0, be a hyperbola such that the sum of lengt

Let b1b2b3b4 be a 4-element permutation with bi $$\in$$ {1, 2, 3, ........, 100} for 1 $$\le$$ i $$\le$$ 4 and bi $$\ne$

Two balls A and B are placed at the top of 180 m tall tower. Ball A is released from the top at t = 0 s. Ball B is throw

A body of mass M at rest explodes into three pieces, in the ratio of masses 1 : 1 : 2. Two smaller pieces fly off perpen

A spherical shell of 1 kg mass and radius R is rolling with angular speed $$\omega$$ on horizontal plane (as shown in fi

A cylinder of fixed capacity of 44.8 litres contains helium gas at standard temperature and pressure. The amount of heat

A wire of length L is hanging from a fixed support. The length changes to L1 and L2 when masses 1 kg and 2 kg are suspen

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

A particle of mass 500 gm is moving in a straight line with velocity v = b x5/2. The work done by the net force during i

A charge particle moves along circular path in a uniform magnetic field in a cyclotron. The kinetic energy of the charge

For a series LCR circuit, I vs $$\omega$$ curve is shown : (a) To the left of $$\omega$$r, the circuit is mainly capacit

A block of metal weighing 2 kg is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing

In van der Waal equation $$\left[ {P + {a \over {{V^2}}}} \right]$$ [V $$-$$ b] = RT; P is pressure, V is volume, R is u

Two vectors $$\overrightarrow A $$ and $$\overrightarrow B $$ have equal magnitudes. If magnitude of $$\overrightarrow A

The escape velocity of a body on a planet 'A' is 12 kms$$-$$1. The escape velocity of the body on another planet 'B', wh

A longitudinal wave is represented by $$x = 10\sin 2\pi \left( {nt - {x \over \lambda }} \right)$$ cm. The maximum parti

A parallel plate capacitor filled with a medium of dielectric constant 10, is connected across a battery and is charged.

A positive charge particle of 100 mg is thrown in opposite direction to a uniform electric field of strength 1 $$\times$

Using Young's double slit experiment, a monochromatic light of wavelength 5000 $$\mathop A\limits^o $$ produces fringes

Two coils require 20 minutes and 60 minutes respectively to produce same amount of heat energy when connected separately

The intensity of the light from a bulb incident on a surface is 0.22 W/m2. The amplitude of the magnetic field in this l

As per the given figure, two plates A and B of thermal conductivity K and 2 K are joined together to form a compound pla

A body is performing simple harmonic with an amplitude of 10 cm. The velocity of the body was tripled by air jet when it

The variation of applied potential and current flowing through a given wire is shown in figure. The length of wire is 31

$$\sqrt {{d_1}} $$ and $$\sqrt {{d_2}} $$ are the impact parameters corresponding to scattering angles 60$$^\circ$$ and

A parallel beam of light is allowed to fall on a transparent spherical globe of diameter 30 cm and refractive index 1.5.

For the network shown below, the value of VB $$-$$ VA is ____________ V.