Gram molecular volume of oxygen at STP is

Choose the correct metal/ ion from the brackets which ..........
A. has chemical reactivity similar to that of the first few members of the Lanthanoids \((\mathrm{Zn}, \mathrm{Ca}, \mathrm{Fe}, \mathrm{Cu})\).
B. has stable \(4 \mathrm{f}^7\) electronic configuration, but acts as a strong reducing agent and converts to \(\mathrm{M}^{3+}\) state. \(\left(\mathrm{Eu}^{2+}, \mathrm{Ce}^{2+}, \mathrm{Pr}^{2+}, \mathrm{Dy}^{2+}\right)\)
C. is a colorless ion \(\left(\mathrm{Tm}^{3+}, \mathrm{Lu}^{3+}, \mathrm{Gd}^{3+}, \mathrm{Sm}^{3+}\right)\).
D. shows stable +2 oxidation state and is diamagnetic \((\mathrm{Ce}, \mathrm{Sm}, \mathrm{Ho}, \mathrm{Yb})\)

Given below are 2 statements: Assertion and Reason. Choose the correct option.
Assertion: When Molar conductivity for a strong electrolyte is plotted versus \(\sqrt{C}(\mathrm{~mol} / \mathrm{L})^{1 / 2}\), a straight line is obtained with intercept equal to Molar conductivity at infinite dilution for the electrolyte and Slope equal to \(-\mathrm{A}\). All electrolytes of a given type have the same \(\mathrm{A}\) value.
Reason: At infinite dilution, strong electrolytes of the same type will have different number of ions due to incomplete dissociation.

In Lassaigne's test for nitrogen in an organic compound, the blue colouration is due to the formation of

A drug that is antipyretic as well as analgesic is

Match the structures in Column I with their correct IUPAC names given in Column II.

Dacron is obtained by the condensation polymerisation of

A small hollow vessel which has a small circular hole of radius r in its base, is immersed in a tank of oil of density \(\rho\) and surface tension T. The oil will penetrate into the vessel at a depth of

The angle between the vectors \(a=2 \hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}\) and \(b=\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+\hat{\mathbf{k}}\) is

Select the reagents needed to convert Benzene to 4–Bromophenylpropene in the correct sequential order.
(A). \(\text{Cl}_2/\Delta\)
(B). \((\text{CH}_3)_2\)-CHCl /anhyd. \(\text{AlCl}_3\)
(C). Alc. KOH
(D). \(\text{Br}_2\) / Fe

The space between the two plates of a parallel plate capacitor is fully filled with a conducting slab. Then the capacitance of the capacitor is :

\(\mathrm{S}_8\) on heating at a temperature above \(1000 \mathrm{~K}\), changes to \(\mathrm{S}_2\). When 1 mole of \(\mathrm{S}_8\) is heated above \(1000 \mathrm{~K}\), the pressure falls by \(32 \%\) at equilibrium. The equilibrium constant for the conversion is:

How many numbers of \(6 -\)digits can be formed from the digits of the number \(112233\) ?