Question

an image of a statue appears to be 11.5cm behind convex mirror with focal length 13.5cm. Find the distance from the statue to the mirror​

Answer 1

77.625 cm

Step-by-step explanation:

The given distance of the image behind the convex mirror, v = 11.5 cm

The focal length of the mirror, f = 13.5 cm

The mirror formula for convex mirror is given as follows;

`(1)/(u) - (1)/(v) = -(1)/(f)`

Where;

u = The distance from the statue to the mirror

Therefore, we get;

`(1)/(u) = -(1)/(f) + (1)/(v)`

Plugging in the values gives;

`(1)/(u) = -(1)/(13.5) + (1)/(11.5) = (8)/(621)`

∴ The distance from the statue to the mirror, u = 621/8 cm = 77.625 cm.