To maintain social distancing due to the COVID situation, Rohan, Sohan, and Rahul are sitting equidistantly, at a distance of 3 meters, in a triangular formation. Priya came and sat between Sohan and Rahul, so the distance between them is half the distance between Rahul and Priya. What will be the distance between Priya and Rohan in meters?

Considering the data given, Rohan, Sohan, and Rahul are sitting in the shape of an equilateral triangle with sides 3m each. 

Since Priya's distance from Sohan is half her distance from Rahul, she is sitting at a distance of 1 m from Sohan.

Draw a perpendicular AD on BC.

In $$\triangle$$ ADC, using the Pythagoras theorem,

$$AC^2=AD^2+DC^2$$

$$3^2=AD^2+1.5^2$$

$$AD=\frac{3\sqrt 3}{2}$$

In $$\triangle ADE, using the Pythagoras theorem,

$$AE^2=AD^2+DE^2$$

$$AE^2=\frac{27}{4}+\frac{1}{4}=7$$

$$AE=\sqrt 7$$

Hence, the answer is option C.