An observer looks at a distant tree of height \(10~\text{m}\) with a telescope of magnifying power of \(20\). To the observer, the tree appears:

A compound microscope consists of an objective lens of focal length \(1~\text{cm}\) and an eye piece of focal length \(5~\text{cm}\) with a separation of \(10~\text{cm}\). The distance between an object and the objective lens, at which the strain on the eye is minimum is \(\frac{n}{40}~\text{cm}\). The value of \(n\) is:
1. \(100\)
2. \(50\)
3. \(25\)
4. \(10\)