1.

2. An object forms a virtual image which is 1/8th of the size of the objecet. If the objectis placed at a distance of 40 cm from the convex mirror, calculate : (i) the position ofthe image, (ii) the focal length of the convex mirror [(i) v = 5 cm, (ii) f= 5.71 cm]

Answer»

Given, m =1/8. u = -40 cmNow we know , m = -v/u1/8 = - v/-(40)1/8 = v/40thus v = +5 cm , Here positive sign indicates that image is formed at a distance 5 cm behind the mirror.Now from mirror formula,1/V+1/u=1/f1/5+(1/-40)=1/f8-1/40=1/ff=40/7

Hence focal length = 5.71 cm



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