1.

A convex mirror has a focal length of 18 centimetre the image of an object in front of the mirror is half the height of the object .what is the distance of the object from the mirror.( answer is 18 cm)

Answer»

F=18

H2=1/2H1

2H2=H1

H2/H1=-V/U

H2/2H2=-V/U

1/2=-V/U

-2V=U

BY APPLYING CONVEX MIRROR FORMULA

1/V+1/U=1/F

1/V-1/2V=1/18

BY TAKING LCM

2-1/2V=1/18

1/2V=1/18

2V=18

V=9

AND, IF U=2V

SO,

U=2*9

U=18cm



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