Concept:
संधि (Sandhi) is the phonetic fusion of two sounds occurring at word boundaries or within compound words. When consonants merge or transform due to phonetic rules, it is classified as व्यंजन संधि (consonant sandhi).
Step 1: Word decomposition
The word चिन्मय is derived as:
\[
{\hindifont चित्} + {\hindifont मय}
\]
Step 2: Sandhi transformation
Here the final consonant of the first word is:
\[
\text{{\hindifont त्}}
\]
and it comes in contact with:
\[
\text{{\hindifont म्}}
\]
According to consonant sandhi rules, when a dental consonant ( त्) is followed by a nasal consonant ( म्), it changes into its corresponding nasal sound from the same class:
\[
{\hindifont त्} \rightarrow {\hindifont न्}
\]
Thus the transformation becomes:
\[
{\hindifont चित्} + {\hindifont मय} \rightarrow {\hindifont चिन्मय}
\]
Step 3: Classification
Since this transformation occurs due to interaction between consonants, it is clearly an example of व्यंजन संधि.
Final Answer: Option (B)