Representation of null set or empty set?

I am having confusion that how to represent null set. Yes it seems like I ask silly question. Well I know null set can be represent either $\{\}$ or $\emptyset$.

But can I write null set like $\{\emptyset\}$?

Yes this is the actually the question.

Thanks.

1 Answer

No, because the set $\{\emptyset\}$ is not empty. It contains the null set:

$$\emptyset\in\{\emptyset\}.$$