Did the Governor and his staff finally heave a sigh of relief?

Select the most appropriate meaning of the underlined idiom in the given sentence. The man heaved a sigh of relief when he was sure he was out of the woods.

No sooner did we receive your message when we heaved a sigh of relief.

You accidently bump into a bokcase. It tils briefly but then returns to upright, and you breathe a sigh of relief. When you first bumped the brookcase, its center of gravity moved.

By which one of the following Acts did the Governor General of Bengal became the Governor General of India?