| List - I (Pair of Compounds) | List - II (Isomerism) |
|---|---|
| (A) n-propanol and Isopropanol | (I) Metamerism |
| (B) Methoxypropane and ethoxyethane | (IV) Functional Isomerism |
| (C) Propanone and propanal | (III) Position Isomerism |
| (D) Neopentane and Isopentane | (II) Chain Isomerism |
To determine the correct matches, we analyze the isomeric relationships of the compounds in List-I:
Step 1: Analyze (A) \textit{n}-propanol and isopropanol
{n}-propanol (\(\text{CH}_3\text{CH}_2\text{CH}_2\text{OH}\)) and isopropanol (\(\text{CH}_3\text{CHOHCH}_3\)) differ in their functional group positions.
This is an example of functional isomerism.
\[(A) \rightarrow \text{(IV)}.\]
Step 2: Analyze (B) Methoxypropane and ethoxyethane
Methoxypropane (\(\text{CH}_3\text{OCH}_2\text{CH}_2\text{CH}_3\)) and ethoxyethane (\(\text{CH}_3\text{CH}_2\text{OCH}_2\text{CH}_3\)) differ in the arrangement of the ether groups.
This is an example of metamerism.
\[(B) \rightarrow \text{(I)}.\]
Step 3: Analyze (C) Propanone and propanal
Propanone (\(\text{CH}_3\text{COCH}_3\)) and propanal (\(\text{CH}_3\text{CH}_2\text{CHO}\)) have different functional groups (ketone vs. aldehyde).
This is an example of functional isomerism.
\[(C) \rightarrow \text{(III)}.\]
Step 4: Analyze (D) Neopentane and isopentane
Neopentane (\(\text{C}(\text{CH}_3)_4\)) and isopentane (\(\text{CH}_3\text{CH}(\text{CH}_3)\text{CH}_2\text{CH}_3\)) differ in the arrangement of their carbon chains.
This is an example of chain isomerism.
\[(D) \rightarrow \text{(II)}.\]
Final Matches:
\[(A) \rightarrow \text{(IV)}, \, (B) \rightarrow \text{(I)}, \, (C) \rightarrow \text{(III)}, \, (D) \rightarrow \text{(II)}.\]
Correct Answer: (4).
\(X\) is the number of geometrical isomers exhibited by \([\mathrm{Pt(NH_3)(H_2O)BrCl}]\).
\(Y\) is the number of optically inactive isomer(s) exhibited by \([\mathrm{CrCl_2(ox)_2}]^{3-}\).
\(Z\) is the number of geometrical isomers exhibited by \([\mathrm{Co(NH_3)_3(NO_2)_3}]\). Find the value of \(X + Y + Z\). }
For the thermal decomposition of reactant AB(g), the following plot is constructed. 
The half life of the reaction is 'x' min.
x =_______} min. (Nearest integer)}


The incorrect statements regarding geometrical isomerism are:
(A) Propene shows geometrical isomerism.
(B) Trans isomer has identical atoms/groups on the opposite sides of the double bond.
(C) Cis-but-2-ene has higher dipole moment than trans-but-2-ene.
(D) 2-methylbut-2-ene shows two geometrical isomers.
(E) Trans-isomer has lower melting point than cis isomer.
Given below are two statements:
Statement (I):
are isomeric compounds.
Statement (II):
are functional group isomers.
In the light of the above statements, choose the correct answer from the options given below:
A substance 'X' (1.5 g) dissolved in 150 g of a solvent 'Y' (molar mass = 300 g mol$^{-1}$) led to an elevation of the boiling point by 0.5 K. The relative lowering in the vapour pressure of the solvent 'Y' is $____________ \(\times 10^{-2}\). (nearest integer)
[Given : $K_{b}$ of the solvent = 5.0 K kg mol$^{-1}$]
Assume the solution to be dilute and no association or dissociation of X takes place in solution.
Inductance of a coil with \(10^4\) turns is \(10\,\text{mH}\) and it is connected to a DC source of \(10\,\text{V}\) with internal resistance \(10\,\Omega\). The energy density in the inductor when the current reaches \( \left(\frac{1}{e}\right) \) of its maximum value is \[ \alpha \pi \times \frac{1}{e^2}\ \text{J m}^{-3}. \] The value of \( \alpha \) is _________.
\[ (\mu_0 = 4\pi \times 10^{-7}\ \text{TmA}^{-1}) \]