Question: "behalf" used in the same way in the following two sentences?

In your behalf.

Campaigning in his own behalf.
Answer: the same meaning
Question: "sense" used in the same way in the following two sentences?

A keen musical sense.

In the best sense charity is really a duty.
Answer: different meanings
Question: "third" used in the same way in the following two sentences?

It contains approximately a third of the minimum daily requirement.

He ate a third of the pie.
Answer: different meanings
Question: "eat" used in the same way in the following two sentences?

I didn't eat yet, so I gladly accept your invitation.

We did not eat until 10 P.M. because there were so many phone calls.
Answer:
the same meaning