we cant ever obtain an image between the pole and focus of a concave mirror can we

No, we cannot obtain an image between the pole and the focus of a concave mirror. Here's why:

1. The nature of a concave mirror is such that it converges light rays that are parallel to its principal axis towards a single point known as the focus.

2. When an object is placed at a distance greater than the focal length (beyond the focus), the light rays after reflection converge at a point on the principal axis to form a real and inverted image.

3. If the object is placed at the focus, the reflected rays are parallel and do not meet, thus no image is formed.

4. When the object is placed between the pole and the focus, the reflected rays diverge away from the principal axis. These rays appear to be coming from a point behind the mirror when produced backwards. Hence, a virtual and erect image is formed behind the mirror, not between the pole and the focus.

So, in conclusion, we cannot obtain an image between the pole and the focus of a concave mirror.