The image produced by a concave mirror

Step-by-step solution

Using the mirror formula, 1 v + 1 u = 1 f . For a concave mirror, the focal length f is negative. Let f = -F where F > 0 . If the object is virtual, the object distance u is positive. Let u = U where U > 0 . Substituting these into the mirror formula, we get: 1 v = 1 f - 1 u = - 1 F - 1 U = - ( 1 F + 1 U ) Since both F and U are positive, 1 v is negative, which implies v A negative image distance corresponds to a real image formed in front of the mirror. Thus, a concave mirror always forms a real image for a virtua