Step 1: Understanding the Concept
An n-type semiconductor is made by doping with a pentavalent donor impurity. Each impurity atom gives one free electron.
Step 2: Carrier Densities
Electrons become the majority carriers. Holes are produced only thermally and are the minority carriers.
Step 3: Relation
So the hole density is far less than the electron density, \(n_h\ll n_e\).
Final Answer:
For an n-type semiconductor, \(n_h\ll n_e\).
\[ \boxed{\text{(B) }n_h\ll n_e} \]