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

Answer:

77.625 cm

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;

$\dfrac{1}{u} - \dfrac{1}{v} = -\dfrac{1}{f}$

Where;

u = The distance from the statue to the mirror

Therefore, we get;

$\dfrac{1}{u} = -\dfrac{1}{f} + \dfrac{1}{v}$

Plugging in the values gives;

$\dfrac{1}{u} = -\dfrac{1}{13.5} + \dfrac{1}{11.5} = \dfrac{8}{621}$

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