Step 1: Understanding the Concept
When light passes from one medium to another, its frequency stays the same because it is fixed by the source.
The speed of light depends on the refractive index of the medium: \(v=\dfrac{c}{\mu}\).
Step 2: Effect of a Denser Medium
A denser medium has a larger refractive index \(\mu\), so the speed of light \(v\) decreases.
Step 3: Effect on Wavelength
Since \(v=f\lambda\) and \(f\) is constant, a smaller \(v\) means a smaller wavelength \(\lambda\).
Step 4: Conclusion
So velocity and wavelength change, while frequency does not.
Final Answer:
Velocity and wavelength change when light goes from a rarer to a denser medium.
\[ \boxed{\text{(C) }\text{velocity and wavelength}} \]