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When a capillary tube of radius r is dipped in a liquid of density ρ and surface tension S, the liquid rises or falls through a distance

The $M{n}^{3+}$ ion is unstable in solution and undergoes disproportionation to give $M{n}^{2+}.Mn{O}_2$ and $H^{+}$ ion. Write a balanced ionic equation for the reaction.

In an adiabatic process, no transfer of heat takes place between system and surroundings. Choose the correct option for free expansion of an ideal gas under adiabatic condition from the following.

The standard molar enthalpies of hydrogenation of benzene ($l$) at $25{}^{o}C$ is $-208{\text{kJ mol}}^{-1}$. The standard enthalpy of hydrogenation of cyclohexene$\left(l\right)$ at $25{}^{o}C$ is $-119{\text{kJ mol}}^{-1}$. Use these data to estimate the magnitude of the resonance energy of benzene.
(correct answer +1, wrong answer -0.25)

If we define orbital as a region of an atom where electron may be found then will it (orbital) have any physical significance or physical meaning?

Consider the ground state of $Cr$ atom (Z = 24). The number of electrons with the azimuthal quantum numbers, $l$ = 1 and 2 are, respectively:

Find the number of molecules in 1 $c{m}^3$ of an ideal gas at $0^0$'C' and at a pressure of ${10}^{-5}$ mm of mercury.

For a given reaction:
$xA+yB\to mC+nD$
$△H=-30kJmo{l}^{-1},△S=-100J{K}^{-1}mo{l}^{-1}$
At what temperature the reaction is at equilibrium?

From the following elements pick out the element that does not show an oxidation state higher than +2:

The solubility of $H{g}_{2}C{l}_2$ is $S$ molar. Its solubility product is:

Calculate the wavelength of a photon (in nm) of energy 1 eV.

Which of the following formulas is consistent with the unit cell of the rhenium oxide compound shown below ?

Select the preparation method that is not used to produce unsymmetrical alkane.

The correct order of bond angles (smallest first) in $H_{2}S,N{H}_3,B{F}_{3}andSi{H}_4$ is

In the reaction sequence
$2C{H}_{3}CHO\stackrel{O{H}^{\ominus }}{\to }A\stackrel{△}{\to }B;$ the product B is:

Which one of the following orders is correct regarding the inductive effect of the substituents?

The dipole moment of each molecule of a paramagnetic gas is
$1.5\times {10}^{-23}amp\times m^2$.The temperature of gas is ${27}^{\circ }C$ and the number of molecules per unit volume in it is $2\times {10}^{26}{m}^{-3}$. The maximum possible intensity of magnetisation in the gas will be

The correct order of strength of $-I$ effect is:

Which of the following groups is the most electron withrawing?

Number of primary amines possible for the formula C₄H₁₁N is

The volume of 95% H₂SO₄ (density = 1.85 g/cc) needed to prepare 100cc of 15% solution of H₂SO₄ (density = 1.10 g/cc) will be

Bleaching powder is obtained by

The major product obtained on interaction of phenol with sodium hydroxide and carbon dioxide is

Benzonitrile on reduction with $Na/C_2{H}_{5}OH$ yields

Cyclohexene on reductive ozonolysis gives compound B. Compound 'B' on further treatment with aqueous NaOH followed by heating yields compound 'C'. The compound 'C' is:

Equilibrium constant, $K_c$ for the reaction.

$N_2\left(g\right)+3H_2(g\leftrightarrow 2N{H}_3(g)$ at 500 K is 0.061.
At a particular time, the analysis shows that composition of the reaction mixture is 3.0 mol $L^{-1}{N}_2,2.0mol{L}^{-1}{H}_2$ and 0.5 mol $L^{-1}N{H}_3$, Is the reaction at equilibrium? If not in which direction does the reaction tend to proceed to reach equilibrium?

The molar entropy content of 1 mole of oxygen $\left(O_2\right)$ gas at $300\text{K}$ and $1\text{atm}$ is $250{\text{J mol}}^{-1}{\text{K}}^{-1}$. Calculate $\Delta G$ when 1 mole of oxygen is expanded reversibly and isothermally from $300\text{K}$, $1\text{atm}$ to double its volume (Take $R=8.314{\text{J mol}}^{-1}{\text{K}}^{-1},\text{log}e=2.303$)

The first ionization constant of H2S is $9.1\times {10}^{-8}$. Calculate the concentration of $H{S}^{-}$ ion in its 0.1 M solution. How will this concentration be affected if the solution is 0.1 M in HCl also?
If the second dissociation constant of $H_{2}S$ is $1.2\times {10}^{-13}$, calculate the concentration of $S^{2–}$ under both conditions.

Write the mechanism of the reaction of HI with methoxybenzene.

A conducting disc of conductivity $\sigma$ has a radius ‘a’ and thickness ‘t’. If the magnetic field B is applied in a direction perpendicular to the plane of the disc that changes with time at the rate of $\frac{dB}{dt}=\alpha$, then calculate the rate of heat dissipated in the disc due to the induced current.

Difference between molecular mass and molar mass

Which of the following is affected by stable configuration of an atom?

Match the ionization processes listed in column-I with the changes observed as listed in column - II. For this use the codes given below:
$\begin{array}{cc}\text{Column-I}& \text{Column-II}\\ \left(a\right)N_2\to N_2^{+}& \left(p\right)\text{Bond order increases and magnetic property is changed}\\ \left(b\right)O_2^{+}\to O_2^{2+}& \left(q\right)\text{Bond order decreases and magnetic property is not changed}\\ \left(c\right)B_2\to B_2^{+}& \left(r\right)\text{Bond order increases and magnetic property is not changed}\\ \left(d\right)N{O}^{-}\to NO& \left(s\right)\text{Bond order decreases and magnetic property is changed}\end{array}$
Note: Here change in magnetic property refers to change from diamagnetic to paramagnetic or paramagnetic to diamagnetic.

One mole of a monoatomic ideal gas expands adiabatically at initial temperature $T$ against a constant external pressure of $1atm$ from $1litreto3litres$. The final temperature of the gas is

The following ion shows colour not due to d-d transition

Hybridization means?

The $d-$ electronic configuration of $C{r}^{2+},M{n}^{2+},F{e}^{2+}$ and $N{i}^{2+}$ are $3d^4,3d^5,3d^6$ and $3d^8$ respectively, which one of the following aqua-complex will exhibit the minimum paramagnetic behaviour?

Work for the following process $ABCD$ on a monoatomic gas is