CBSE Class 12-science Answered

Lens Equation is

where v = lens-to-image distance , u = -18 m is lens-to-object distance and f = - 6 m is focal length of caoncave lens.

By cartesian convention lens-to-object distance is negative and focal length is also negative .

Hence we calculated lens-to-image distance v using lens equation as

Hence v = -4.5 m , i.e. image is formed at  same side of object at a distance 4.5 m from lens.

Magnification m = v/u = (-4.5)/(-18) =  (1/4)

Height of image = (1/4) × 2 m = 0.5 m