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

Sand of a fine grain.

A stone of coarse grain.
Answer: the same meaning
Question: "foot" used in the same way in the following two sentences?

I'll meet you at the foot of the stairs.

His bare feet projected from his trousers.
Answer: different meanings
Question: "pay" used in the same way in the following two sentences?

Pay an obligation.

Pay a debt.
Answer: the same meaning
Question: "catch" used in the same way in the following two sentences?

Did you catch a cold?

The fashion did not catch.
Answer:
different meanings