Question

a 12-mm -high object is 10 cm from a convex mirror with focal length 17 cm . part a how far is its image from the mirror? express your answer in centimeters.

Answer 1

The distance of the image from the mirror, given that the object was placed at 10 cm from the mirror is -24.3 cm

How to calculate the distance of the image?

The following parameters were listed from the question:

• Distance of object from the mirror (u) = 10 cm
• Focal length of mirror (f) = - 17 cm
• Distance of image from the mirror (v) =?

The distance of the image from the mirror can be calculated by using the mirror formula as shown below:

`(1)/(f) = (1)/(v)\ +\ (1)/(u) \\\\(1)/(17) = (1)/(v)\ +\ (1)/(10) \\\\(1)/(v) = (1)/(17)\ -\ (1)/(10)\\\\(1)/(v) = (10\ -\ 17)/(170) \\\\(1)/(v) = (-7)/(170)\\\\v = (170)/(-7) \\\\v = -24.3\ cm`

Thus, from the above, we can conclude that the distance of the image from the mirror is -24.3 cm