When an object is positioned at a distance u from a simple microscope having a focal length f , the resulting angular magnification depends

Step-by-step solution

The angular magnification m of a simple microscope is defined as the ratio of the angle subtended by the image at the eye ( _i ) to the angle subtended by the object at the unaided eye when placed at the least distance of distinct vision D ( _o ). Assuming the eye is close to the lens, the angle subtended by the image is _i = h' v . Using the linear magnification formula h' = h ( v u ) , we get _i = h(v/u) v = h u . The angle subtended by the object at the unaided eye is _o = h D . Therefore, the angular magnificat