The correct option is A steric inhibitation of resonance
For participation in resonance, the p−orbital of N should be perpendicular to the plane of the ring.
Presence of two bulky methyl groups does not allow the p−orbital to get perpendicular to the plane and hence the lone pair of N does not involve in resonance.
This increases the lone pair availability, thus increasing the basic strength.
Hence, 1,8−bis(dimethylamino) napthalene is more basic than 1−dimethylamino napthalene due to steric inhibition of resonance.