Concept:
In the Natyashastra, different styles and approaches of dance are described according to their mood, expression, and presentation. The delicate, graceful, and gentle style associated with erotic sentiments (Shringara Rasa) is referred to as Sukumaraprayoga.
Step 1: Understand the meaning of Sukumaraprayoga.
The term:
\[
\text{Sukumara} = \text{Delicate or Graceful}
\]
and
\[
\text{Prayoga} = \text{Presentation or Performance}
\]
Thus:
\[
\textit{Sukumaraprayoga}
\]
refers to a soft and delicate mode of dance presentation.
Step 2: Understand its association with erotic sentiments.
This style is particularly connected with:
• Graceful movements
• Gentle expressions
• Feminine elegance
• Shringara Rasa (erotic sentiment)
It emphasizes beauty, charm, and emotional delicacy.
Step 3: Compare with the given options.
Among the given choices:
• Leela nrutya refers to playful dance.
• Sukumaraprayoga denotes the delicate style rich in erotic sentiment.
• Rechakas are specific body movements in dance.
• Tandava represents vigorous and energetic dance.
Therefore, the correct answer is:
\[
\boxed{\text{Sukumaraprayoga}}
\]
Hence:
\[
\boxed{\mathrm{(B)}}
\]