Cis-[CrCl$_2$(C$_2$O$_4$)$_2$]$^{3-}$
Step 1: Checking for optical isomerism.
- Optical isomerism occurs in complexes with chiral centers or asymmetric arrangements.
- Cis-[CrCl$_2$(C$_2$O$_4$)$_2$]$^{3-}$ can show optical isomerism due to asymmetric bidentate ligands.
- [PtCl$_2$(en)$_2$]$^{2+}$ and [Co(en)$_3$]$^{3+}$ also show optical isomerism.
- [Co(NH$_3$)$_3$(NO$_2$)$_3$] lacks asymmetry and does not exhibit optical isomerism.
The steam volatile compounds among the following are:
The structure of the major product formed in the following reaction is:
Which is the correct IUPAC name for \[ \includegraphics[width=0.1\linewidth]{CH10I.png} \]
Given the function:
\[ f(x) = \begin{cases} \frac{(2x^2 - ax +1) - (ax^2 + 3bx + 2)}{x+1}, & \text{if } x \neq -1 \\ k, & \text{if } x = -1 \end{cases} \]
If \( a, b, k \in \mathbb{R} \) and \( f(x) \) is continuous for all \( x \), then the value of \( k \) is:
Given the function:
\[ f(x) = \begin{cases} \frac{2x e^{1/2x} - 3x e^{-1/2x}}{e^{1/2x} + 4e^{-1/2x}}, & \text{if } x \neq 0 \\ 0, & \text{if } x = 0 \end{cases} \]
Determine the differentiability of \( f(x) \) at \( x = 0 \).
A magnet suspended in a uniform magnetic field is heated so as to reduce its magnetic moment by 19%. By doing this, the time period of the magnet approximately
A Carnot heat engine has an efficiency of 10%. If the same engine is worked backward to obtain a refrigerator, then the coefficient of performance of the refrigerator is
Match the following physical quantities with their respective dimensional formulas.