Step 1: Understanding the Concept
Molecularity is the number of reacting species in an elementary step. Order is the sum of the powers in the rate law.
Step 2: Molecularity
Two \( \text{NO}_2 \) molecules collide, so the molecularity is 2.
Step 3: Order
For this elementary step the rate is \( r=k[\text{NO}_2]^2 \), so the order is 2.
Step 4: Compare the options
Order 2 and molecularity 2: option (B).
Final Answer:
The reaction has order 2 and molecularity 2.
\[ \boxed{\text{(B) }\text{order 2, molecularity 2}} \]