If the distance of the object is 35 cm and the distance of the image is 14 cm, what is the focal length of the mirror?

1 answer

To find the focal length of the mirror, we can use the mirror formula:

1/f = 1/d_o + 1/d_i

Where:
f = focal length of the mirror
d_o = distance of the object
d_i = distance of the image

Substituting the given values:

1/f = 1/35 + 1/14

To simplify the equation, we can find the common denominator:

1/f = (14 + 35) / (35 * 14)
= 49 / 490
= 1/10

Inverting both sides of the equation, we find:

f = 10 cm

Therefore, the focal length of the mirror is 10 cm.