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?
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.