List - I | List - II |
---|---|
(A) ICl | (IV) Linear |
(B) ICl3 | (I) T-Shape |
(C) ClF5 | (II) Square pyramidal |
(D) IF7 | (III) Pentagonal bipyramidal |
To determine the correct matches, we analyze the molecular geometry of each compound based on the number of bond pairs and lone pairs of electrons around the central atom.
Step 1: Molecular geometry of \(\text{ICl}\)
\(\text{ICl}\) consists of only two atoms (iodine and chlorine), forming a diatomic molecule. Its molecular geometry is linear. Thus:
\[(A) \, \text{ICl} \rightarrow \text{(IV) Linear}.\]
Step 2: Molecular geometry of \(\text{ICl}_3\)
\(\text{ICl}_3\) has 3 bond pairs and 2 lone pairs around the iodine atom. According to the VSEPR theory, this results in a T-shaped molecular geometry. Thus:
\[(B) \, \text{ICl}_3 \rightarrow \text{(I) T-Shape}.\]
Step 3: Molecular geometry of \(\text{ClF}_5\)
\(\text{ClF}_5\) has 5 bond pairs and 1 lone pair around the central chlorine atom. According to the VSEPR theory, this configuration forms a square pyramidal geometry. Thus:
\[(C) \, \text{ClF}_5 \rightarrow \text{(II) Square pyramidal}.\]
Step 4: Molecular geometry of \(\text{IF}_7\)
\(\text{IF}_7\) has 7 bond pairs and no lone pairs around the iodine atom. This configuration corresponds to a pentagonal bipyramidal geometry.
Thus:
\[(D) \, \text{IF}_7 \rightarrow \text{(III) Pentagonal bipyramidal}.\]
Final Matches:
\[(A) \rightarrow \text{(IV)}, \, (B) \rightarrow \text{(I)}, \, (C) \rightarrow \text{(II)}, \, (D) \rightarrow \text{(III)}.\]
Correct Answer: (3).
Identify the correct orders against the property mentioned:
A. H$_2$O $>$ NH$_3$ $>$ CHCl$_3$ - dipole moment
B. XeF$_4$ $>$ XeO$_3$ $>$ XeF$_2$ - number of lone pairs on central atom
C. O–H $>$ C–H $>$ N–O - bond length
D. N$_2$>O$_2$>H$_2$ - bond enthalpy
Choose the correct answer from the options given below:
Let \( S = \left\{ m \in \mathbb{Z} : A^m + A^m = 3I - A^{-6} \right\} \), where
\[ A = \begin{bmatrix} 2 & -1 \\ 1 & 0 \end{bmatrix} \]Then \( n(S) \) is equal to ______.
Let \( T_r \) be the \( r^{\text{th}} \) term of an A.P. If for some \( m \), \( T_m = \dfrac{1}{25} \), \( T_{25} = \dfrac{1}{20} \), and \( \displaystyle\sum_{r=1}^{25} T_r = 13 \), then \( 5m \displaystyle\sum_{r=m}^{2m} T_r \) is equal to: