The trick here is that Bence Jones protein is made of free light chains in urine, yet every option is a heavy chain disease. So we need the one heavy chain disorder that still spills light chains.
Run through them. Gamma heavy chain disease and alpha heavy chain disease classically secrete defective heavy chains without accompanying free light chains, so they do not give Bence Jones proteinuria. Epsilon heavy chain disease is not a recognised practical entity, so it is out.
Mu heavy chain disease is the exception. This rare condition, frequently linked with chronic lymphocytic leukaemia, characteristically produces free kappa light chains alongside the abnormal mu chains. Those light chains pass into the urine and are detected as Bence Jones protein. That is why mu heavy chain disease is the answer.
\[\boxed{\text{C. Mu heavy chain disease}}\]