Give an example of the cultural conflict between the British and the tribe in Things Fall Apart.

Well, there are certainly plenty of examples for you to
chose from! However, the really terrible ones occur in Chapter 22 and afterwards, as Mr.
Brown is replaced by a more radical missionary known as the Reverend James Smith. Note
what the narrator tells us about his view of the
work:

He
condemned openly Mr. Brown's policy of compromise and accommodation. He saw things as
black and white. And black was evil. He saw the world as a battlefield in which the
children of light were locked in mortal conflict with the sons of
darkness.

Therefore, with
this battlefield view, it is hardly surprising that he should dismiss openly some of the
most important religious customs of the tribe and act against them to show the
superiority of his God. And this is precisely what he does when the annual ceremony for
Mother Earth occurs when he unmasks a egwugwu:

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It happened during the annual ceremony which was
held in honour of the earth deity. At such times the ancestors of the clan who had been
committed to Mother Earth at their death emerged again as egwugwu through tiny
ant-holes.

One of the greatest crimes a man could commit
was to unmask a egwugwu in public, or to say or do anything which might reduce its
immortal prestige in the eyes of the
uninitiated.

Thus, by trying
to impose his Christian cultural practices, the Christians deliberately break an
incredibly important taboo which results in many problems and difficulties, and greatly
raises the tension between the Christians and the rest of the
tribe.