Q: Does the word "texture" mean the same thing in "The wall had a smooth texture." and "The beans had a grainy, gritty texture in her mouth."?

A: the same meaning

Q: Does the word "life" mean the same thing in "He hoped for a new life in Australia." and "Pottery was his life."?

A: different meanings

Q: Does the word "prove" mean the same thing in "Prove a will." and "The exception proves the rule."?

A: different meanings

Q: Does the word "admit" mean the same thing in "To admit a serious thought into the mind." and "This pipe admits air."?

A:
the same meaning