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

The number of chiral carbons present in sucrose is _____.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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