The volume, in mL, of 0.02 M K2Cr2O7 solution required to react with 0.288 g of ferrous oxalate in acidic medium is ____

The number of chiral carbons present in sucrose is _____.

For a dimerization reaction, 2A(g) $$ \to $$ A2(g) at 298 K, $$\Delta $$Uo = –20 kJ mol–1, $$\Delta $$So = –30 JK–1 mo

Considering that $$\Delta $$0 > P, the magnetic moment (in BM) of [Ru(H2O)6]2+ would be _________.

For a reaction X + Y ⇌ 2Z , 1.0 mol of X, 1.5 mol of Y and 0.5 mol of Z were taken in a 1 L vessel and allowed to react.

The increasing order of boiling points of the following compounds is :

The correct order of the ionic radii of O2–, N3–, F– , Mg2+, Na+ and Al3+ is :

Consider the complex ions, trans-[Co(en)2Cl2]+ (A) and cis-[Co(en)2Cl2]+ (B). The correct statement regarding them is :

Lattice enthalpy and enthalpy of solution of NaCl are 788 kJ mol–1, and 4 kJ mol–1, respectively. The hydration enthalpy

Among the following compounds, geometrical isomerism is exhibited by :

The major product of the following reaction is :

The final major product of the following reaction is :

The variation of molar conductivity with concentration of an electrolyte (X) in aqueous solution is shown in the given f

The rate constant (k) of a reaction is measured at differenct temperatures (T), and the data are plotted in the given fi

The compound that has the largest H–M–H bond angle (M = N, O, S, C) is :

The correct statement about probability density (except at infinite distance from nucleus) is :

Boron and silicon of very high purity can be obtained through :

The major product formed in the following reaction is : CH3CH = CHCH(CH3)2 $$\buildrel {HBr} \over \longrightarrow $$

If the mean and the standard deviation of the data 3, 5, 7, a, b are 5 and 2 respectively, then a and b are the roots of

Let y = y(x) be the solution of the differential equation cosx$${{dy} \over {dx}}$$ + 2ysinx = sin2x, x $$ \in $$ $$\lef

If the sum of the second, third and fourth terms of a positive term G.P. is 3 and the sum of its sixth, seventh and eigh

The value of $${\left( {{{ - 1 + i\sqrt 3 } \over {1 - i}}} \right)^{30}}$$ is :

If a + x = b + y = c + z + 1, where a, b, c, x, y, z are non-zero distinct real numbers, then $$\left| {\matrix{ x &a

$$\mathop {\lim }\limits_{x \to 0} {{x\left( {{e^{\left( {\sqrt {1 + {x^2} + {x^4}} - 1} \right)/x}} - 1} \right)} \ove

Let the vectors $$\overrightarrow a $$, $$\overrightarrow b $$, $$\overrightarrow c $$ be such that $$\left| {\overrigh

The area (in sq. units) of the region A = {(x, y) : (x – 1)[x] $$ \le $$ y $$ \le $$ 2$$\sqrt x $$, 0 $$ \le $$ x $$ \l

Let A = {a, b, c} and B = {1, 2, 3, 4}. Then the number of elements in the set C = {f : A $$ \to $$ B | 2 $$ \in $$ f(A)

If $$\alpha $$ and $$\beta $$ are the roots of the equation, 7x2 – 3x – 2 = 0, then the value of $${\alpha \over {1 - {

If L = sin2$$\left( {{\pi \over {16}}} \right)$$ - sin2$$\left( {{\pi \over {8}}} \right)$$ and M = cos2$$\left( {{\pi

The derivative of $${\tan ^{ - 1}}\left( {{{\sqrt {1 + {x^2}} - 1} \over x}} \right)$$ with respect to $${\tan ^{ - 1}

If the system of linear equations x + y + 3z = 0 x + 3y + k2z = 0 3x + y + 3z = 0 has a non-zero solution (x, y, z) for

If the length of the chord of the circle, x2 + y2 = r2 (r > 0) along the line, y – 2x = 3 is r, then r2 is equal to

If $$\int {{{\cos \theta } \over {5 + 7\sin \theta - 2{{\cos }^2}\theta }}} d\theta $$ = A$${\log _e}\left| {B\left( \t

There are 3 sections in a question paper and each section contains 5 questions. A candidate has to answer a total of 5 q

If x = 1 is a critical point of the function f(x) = (3x2 + ax – 2 – a)ex , then :

An infinitely long, straight wire carrying current I, one side opened rectangular loop and a conductor C with a sliding

In an experiment to verify Stokes law, a small spherical ball of radius r and density $$\rho $$ falls under gravity thro

The velocity (v) and time (t) graph of a body in a straight line motion is shown in the figure. The point S is at 4.333

Two coherent sources of sound, S1 and S2, produce sound waves of the same wavelength, $$\lambda $$ = 1 m, in phase. S1 a

A galvanometer is used in laboratory for detecting the null point in electrical experiments. If, on passing a current of

A parallel plate capacitor has plate of length 'l', width ‘w’ and separation of plates is ‘d’. It is connected to a batt

The acceleration due to gravity on the earth’s surface at the poles is g and angular velocity of the earth about the axi

In an adiabatic process, the density of a diatomic gas becomes 32 times its initial value. The final pressure of the gas

An iron rod of volume 10–3 m3 and relative permeability 1000 is placed as core in a solenoid with 10 turns/cm. If a curr

In the circuit shown, charge on the 5 $$\mu $$F capacitor is :

In the circuit, given in the figure currents in different branches and value of one resistor are shown. Then potential a

Two different wires having lengths L1 and L2, and respective temperature coefficient of linear expansion $$\alpha $$1 an

Two Zener diodes (A and B) having breakdown voltages of 6 V and 4 V respectively, are connected as shown in the circuit

The correct match between the entries in column I and column II are : .tg {border-collapse:collapse;border-spacing:0;}

Ten charges are placed on the circumference of a circle of radius R with constant angular separation between successive

The quantities x = $${1 \over {\sqrt {{\mu _0}{\varepsilon _0}} }}$$, y = $${E \over B}$$ and z = $${l \over {CR}}$$ are

A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate $${{dM\left( t \ri

A ring is hung on a nail. It can oscillate, without slipping or sliding (i) in its plane with a time period T1 and, (ii)

A body of mass 2 kg is driven by an engine delivering a constant power of 1 J/s. The body starts from rest and moves in

The surface of a metal is illuminated alternately with photons of energies E1 = 4 eV and E2 = 2.5 eV respectively. The r

A prism of angle A = 1o has a refractive index $$\mu $$ = 1.5. A good estimate for the minimum angle of deviation (in de

Nitrogen gas is at 300oC temperature. The temperature (in K) at which the rms speed of a H2 molecule would be equal to t

A thin rod of mass 0.9 kg and length 1 m is suspended, at rest, from one end so that it can freely oscillate in the vert