This aspect of democracy is hampered when political dynasties are no longer working for public service but merely seeks its personal interest.

The aspect of democracy that is hampered when political dynasties are no longer working for public service but merely seek their personal interest is "public accountability".

Step 1: Understand the question The question is asking about a specific aspect of democracy that is negatively affected when political dynasties prioritize their personal interests over public service.

Step 2: Define key terms

• Democracy: A system of government where the citizens exercise power by voting.
• Political dynasties: Families in which several members have held political office.
• Public accountability: The obligation of public officials to report, explain and be answerable for the consequences of decisions they make on behalf of the citizens they represent.

Step 3: Connect the key terms to answer the question In a democracy, public officials, including those from political dynasties, are expected to work for the public service. This means they should make decisions that benefit the citizens they represent, not just themselves or their family. When they prioritize personal interests, they fail to uphold public accountability. This is because they are not making decisions in the best interest of the public and are not answerable for the consequences of their decisions. Therefore, public accountability is the aspect of democracy that is hampered in this situation.