It has been observed that a mirror always forms the image between the pole and the focus, irrespective of the location of the object. Which one of the following is correct in respect of the nature of the mirror?

Step-by-step solution

For a spherical mirror, the mirror formula is given by 1 v + 1 u = 1 f . For a real object placed in front of the mirror, the object distance u is negative. Let u = -x where x > 0 . For a convex mirror, the focal length f is positive. Substituting u into the mirror formula gives: 1 v - 1 x = 1 f 1 v = 1 f + 1 x Since both f and x are positive, 1 v > 1 f . This implies that 0 Thus, the image distance v is always positive and less than the focal length f . The image is always formed behind the mirror, between the pol